Hello, everyone. Welcome to Maths Can Groove webinar. Today, we have a lesson six. We will work on the identical and symmetrical figures. So this is a fun lesson. So you will see a lot of questions with pictures. So we strongly recommend you to print out the student handout. Otherwise, you have to maybe draw by yourself. It would take a little longer time for you. And also remember what we learned last week. We learned 2D shapes. So today, we continue to work on the geometry part. We hope you will have a better idea after the lesson for the identical and symmetrical figures. We still have some new students joining this week. So Elita, can you go through the ground rules quickly? Yeah. So first of all, the student should join the Zoom meeting with video off and voice muted for the whole session. This is because we want to protect your guys' privacy when we release the recording out. So all the lessons are recorded and the link will be shared after the session. You can always go back and review any problems you missed or had more questions on. This is a webinar. So it's a large group class with less interaction. We'll try to be accommodating for most students. And to increase engagement, we'll use the poll. So you just click the answer in the poll and submit it. And then we'll see how many people got it right. You guys can't speak during the session, but you guys can always chat me with any questions. So I can send a message in the chat so you guys know who to chat. And I'll try to answer everything. And lastly, all the handouts are in the shared folder. Like Lucia said, this lesson would be very helpful to have a handout in. So please be prepared with those. Yeah, so it's better. You can print all the handouts in advance and keep in a folder. So that would be very helpful for you to use every class. So here is a four-step method. We reinforce every time, but we still want to quickly go through with you because when you try to solve the four-point or five-point question, this is really helpful. So this method will help you to get through questions carefully and make you reduce some minor mistakes or even help you to find anything you overlook when you try to solve the problem. Yeah, Elita, can you go through this method? Yeah. So the first step is to understand the problem. Each problem gives you guys some clues on what the possible answer could be. So it's really important to know what the question is asking for. The second step is to plan how to solve the problem. Every class, we introduce you guys to a new strategy. So you have to pick which strategy to use for each problem. And you also need to know what information you need to solve it. The third step is to carry out the plan. So you write the solution step by step. I think showing steps is important so that you can always go back and check to see where you made mistakes. And then lastly, you can look back on your steps or on your process to check and reflect your work. So you see if the answer makes sense. And you can also check all the different answers to see if those ones are possible as well. You're muted, Lucia. Thank you. Thank you, Elita. So I just see Elita just send a chat to everybody. So if you have a question, just send to her. We try our best. During the class, we answer your question. If some question be very commonly asked by most students, we will just speak, tell everybody in the class. Or we just send you the chat privately. Please allow some time. Because we're teaching the class, we might not answer you promptly. So here, let's review what we did last week. Last week, we worked on the 2D shapes. So when you try to solve the problem, you always see some of the shapes, the question related with the shapes. So maybe related with puzzles. So those can the question. So that's early, in the early stage for the geometry question. So the 2D shapes, so we, you can consider why we call 2D. Because the 2D shape has two dimensions. So you can imagine the square, a rectangle, the regular shape you usually see, they have a length, they have width, they have two dimensions. And the 1D shape, if we say, oh, there's 2D, how about 1D? 1D would be one dimension, like you drew a line. And also, you also heard maybe the 3D shapes before. So 3D shapes, that's all solid shape. It's not flat. So because you add one more dimension. So you can see 3D shape around you. I think in front of you, maybe there are the cups, or maybe it's some paper box, or pencil box. So you have different kind of 3D shape in front of you. Yeah, but we mainly worked on the 2D shape last week. And this week, we work on the identical and symmetrical part. It mostly involves this 2D shape too. So here, let's do the warm-up question. Yeah, so Arek, Arek, I don't know if that's how you say his name. He cuts up this picture in half and puts the two pieces together. Which option shows the two pieces of Arek's picture? So check the picture carefully. Remember, once you submit the poll, you cannot change your answer anymore. So before you submit your final answer, you can check it. Like the last step. Yeah, check your answer before you submit. Okay, so I think that's all for this week. I hope you enjoyed it. If you have any questions, please feel free to ask. And I will see you in the next video. This is a fun question, yeah? So if you have a real paper, sometimes you might can rotate the paper to let you see what would be the right shape for you. Your early warm-up question not on the handout. So I just said I just said sometimes we do not put a warm up question on the handout. So you cannot find this one on handout. You have to rotate the pieces in your mind. Yeah, good practice. So you can you can hear me now. Yeah. Yes, I can. Okay. So one student said you cannot hear us. So I think you might need to check your device. Yeah. Okay. I'm the pole now. Yeah. Yeah. Check the connection. Check the check your device connection. Yeah. So you guys did pretty well on this problem. I think more most of you guys got this one right. But it can be hard to rotate them in your mind, especially when they're flipped upside down like this. So you can see on the picture and on the right, we cut it in half and we make one side the left side and the other side the right side. So we know that for the two pieces, one of them has to be the left one and one of them has to be the right one. So for a you can see pretty obviously that they're both of the left piece, right? So I can't be a because we need a right piece. For B, it's the same thing, except one of the pieces is flipped upside down. It looks like they go together because they're touching in the middle. So really, when you flip it around, you get the same thing as a. And then similarly, for C, the image, the part on the left, that one has been flipped upside down. So if you flip it back normally, you get the same as the image in a, right? And then for D, that's exactly the same as a except flipped upside down. So again, that's two left pieces and we need a right piece. Only in E do we see where if you flip the right piece back, then you get the whole thing. It's a mushroom. You get the whole mushroom. So then you have a left piece and a right piece. So the correct answer would be E. Yeah. Thank you, Anita. So we will work more this kind of problems in this lesson and you can get better ideas. So here we talk about identical figures. Identical means exactly the same. So you would see the two figures. So whatever you check the size, you check the shape, and you check amount, or you check the color, they're exactly the same. So you can see the two Mascangro logo and also the ladybugs and the two blue triangles and even the left part of the mushroom. So those two figures, they exactly look like each other. So that's identical. And sometimes we say, oh, they are similar, not identical same. So the similar, you might have some minor difference, like the colors, like the size. So those kind of things you need to pay attention. So that's why we always ask you, when you see some question with picture, you have to check all the details very carefully. So like the last question, so you might need this kind of question. You see the gingerbread man. So they will give you a gingerbread man and show you the missing part of it and then give you the missing part in the options. So you have to check all the details, make sure you pick the right piece. So that's something you really need to pay attention. So what's the same part or different part? What's the difference? So you need to check the original picture carefully. And now look at the first question. So what do you get when you switch the colors? You see the black, the big black circle with some of the yellow dots, and also there is a yellow red dot. So then you check the A, B, C, D, E of the options. So which one is the answer? You switch the colors. If you could, please submit your answer in the poll. We will wait for the most of the students to answer the question and then we will review the question. So if you already get your answer, please submit it in the poll so we can move faster. Looks like everybody's pretty fast on this one. Yeah, this will not be a very big change. Yeah. Yeah. Okay, so good job. Almost everybody got the correct answer. Congratulations. Yeah. So, this question not really hard, they just switch color, they didn't rotate the piece. So I remember the question appeared in some year, they actually rotate the piece, the right, the correct answer they rotate that piece. They rotate it to a different, different position. And then that would increase the difficulties for you to find the correct answer. But for this one, it's very clear. So you will see what's on the black one. So you'll see the four dots really close to each other. Yeah, you can check the parts, and you have one big dot and one small dot over there, and then you have the ring here. And you will check which one should be. So you'll check the answer choices. So firstly, you will see how many dots I have here. So I can check amount to eliminate some wrong answers. So you would say the A, they have the extra dots. They have extra dots here. So this is not correct answer. And then the B, they miss the ring and miss the one dot. So that's not correct. And the C, even they are almost the same, but they actually have this very close to each other. So the position also not correct here. So this is not the correct answer. And then you will see the D, so not the right amount. And then E, so that's the answer. You can check the position, amount, and after change the color, they are all the right picture for it. So pay attention. So sometimes, even they set the switch color, so you still need to pay attention to the parts of the shape, like amount of the dots, or even the position of the dots. Okay, let's see the next question. Arjun has six identical triangles like this. So you can see the picture on the right. Which of the following pictures can he make? Okay, a few more seconds. Okay. So you guys can see, I think you guys did really well on this problem. Almost everybody got it right. So good job, everybody. So let's see. It says he has six triangles like this. So if we split each of the picture into one of the triangles, like you can see, we divide it into six, right? And we just focus on the top triangle. Then we can check every one to see if it matches. So, I mean, if you start from A, you should see immediately that it matches. So maybe that's why you guys were so fast, but we can also go through and check the rest of them to make sure it doesn't match. Like B, for example, there are those two vertical lines around the X that are not present in his original triangle, right? So it can't be that one. And C, it's missing the line that goes across the middle horizontally. So it shouldn't be that one. In D, it's missing the two lines at the bottom of the triangle. So it also cannot be that one. And then in E, I believe the X looks a little bit different there than it does in the original triangle. So if you go through and check all of them, you'll see that A is the only one that works. I think you're muted again. So you should look at the details of each part, and then you would figure out which one should be the correct answer. We always want to remind you, even the first answer is a correct answer. So you should check through all the answer choices, make sure you confirm your answer is correct. Because sometimes math can give you very similar options, very minor difference. So it's very easy to pick the wrong answer. So pay attention. Please check through all the options. Okay, this one. Which triangle is Triggy's twin brother? See the picture. We can close the poll. Yeah, okay. You're so fast. Yeah, good job. So it's almost everyone got the correct answer. So the five, number five is a twin brother. So it's very clear. So you have one, two, three, four, five, six. So six different triangles. So which one match the trig is the triangle. So you can compare, check each one. So you might need to rotate the piece because they are not in the same position. So you can imagine that in your mind how to rotate. You rotate this one to the right. Yeah. So you can match the five or you can use the paper booklet. You can turn around the paper booklet to help you to find the correct shape. So then number five is the answer. Okay. So here, yeah, we already go through the identical shapes. Yeah. Elita, would you like to go through the symmetrical figures here? Yeah. So we say that two figures are symmetrical if they're mirror images of each other. We call the mirror line, a line of identical and symmetrical figures. So you can think of the symmetrical figure as balanced or kind of flipped across the line of identical and symmetrical figures. So it's also the mirror line. And then the corresponding part should have the same measurements and colors. So you can see on the left, there's the stuffed math kangaroo, I believe. And obviously the mirror line would be where the mirror is. So you can see how he's facing towards the mirror in both the original image and in the mirror image, right? And he stays the same size and the same color and everything. And you can also see that on the right is the girl holding some flowers and her, like the flowers, which were originally on her right, get flipped to be on her left when across from the mirror image. So the important part is that everything is the same distance away from the mirror line. So the flowers on the right of the mirror line are the same distance away as the flowers on the left of the mirror line. And she's also facing, both of them are kind of facing towards the mirror line, right? So that's the difference between symmetrical and identical. Also, if you look into the water, so that would be the upside down. So for the mirror, that's left to right switched. But if you look down to the water, that would be upside down. So we will meet a similar question. Yeah. So Elita, can you continue this part? Yeah. Yeah. So we say that two figures are symmetrical if they are mirror images of each other. We call the mirror line a line of identical and symmetrical figures. And sometimes a single figure can have symmetrical parts. So we can see this in the heart on the left. That heart has the mirror line or identical and symmetrical figure line right down the middle of it. So if you kind of flip it over, they line up with each other. And then in the word bat, you can see each letter is actually symmetrical. The B has a horizontal symmetrical line. The A and the T both have vertical lines. And then there's an actual bat too, right below it. That also has a vertical line of identical and symmetrical figures. And then there's the star, which has multiple, I think. So there's one where it's vertical, and then there's a lot that are diagonal, right? So a figure could have multiple, and then the same with the square. It has the one that's horizontal, the one that's vertical, and then two that are diagonal. So here, you also can see the real sense in the nature. So you can see some flowers, all the butterflies, and even some of the architectures, the buildings. So you all can find the symmetrical parts. If anybody go to the Disneyland, I remember the castle. They are also symmetrical. The left side, the right side, they have some towers. So they match each other. So those things in the real world, you can see the people build the architecture, or some of the natural sense, they also reflect this property. Okay, so here, this picture, they give you some shapes and ask you to draw the other part, draw the symmetrical part. We have this shape, this four shape, all on the handout. So please take a few minutes, draw them out. We do not have a poll for this one, but I will show the answer to you. So if you are already down, you can send in the chat. Yeah, tell us you are down. And we might give the few minutes, but might not make everybody finish. So Elita, what do you think, we give how many minutes for this one, for them to draw out? Well, as long as they have the handout, I think it shouldn't take too long. So maybe two minutes. Yeah, two to three minutes we give to you to draw it out. Yeah, because we want to show you how to find the symmetric part by the symmetrical line. Oh, so this shape, it's on the handout. So the student handout. If you didn't print it out, so you can just maybe copy the shape to the sketch paper. So you can just copy the shape. It's not very hard shape. And you draw the line. Just copy this one, draw the middle line, and then draw the other part. Yeah, some students already done. So check the grid paper here so you would figure out where is the position you should put for the parts in the other side. If you have a question, please send your question to the chat. You can send it to Elita or send it to me. I received the four students. Yeah, I said they already down. Elita, how many students do you receive so far? I think only two. Okay, yeah. Okay, so we do not have many students down yet. Now, we'll give you one more minute and then we will share with you the solution. So please, for the class, we recommend you to prepare the sketch paper and a pencil for each class. Yeah, I receive over 10 to, I think, 12 students send me, or more, 15. So how many you receive so far? Not that many, only four. Oh, okay. So we have about 20 students now so far. Yeah, we give you 30 more seconds, and then we will review the parts. So if today you didn't get the handout, so maybe after class when you watch recording, you can get a handout ready and you can practice at that moment. But every time we strongly recommend you print the handout before the class because all the lesson handouts we already shared with you in your parents' account. Okay, so Elita, I think we can go through the solutions for these four shapes. Yeah, yeah, okay. So would you like to explain a little bit? Yeah, sure. So you can see with the shape, the first shape, we'll just start with that one. So what I would do is I would start from the line. So you can see there's two points where the shape touches the line, right? And then you want it to kind of go in the opposite direction of those two lines, right? So the first line, it's coming kind of down at a slope. So then you wanna make it go back up a little bit. So it's the mirror image of it. So you do that for those two. And then from there, you kind of follow how the shape goes, right? So you can see that shape goes to the left, or this is kind of hard to explain, but you can see it goes back in a little bit and then back out. So we want to make this shape do the same thing, right? And then you can always check and count the number of units or the number of squares to make sure that it's actually the exact mirror image of that. And then for the fish looking one, I think it's a little bit easier when it's the horizontal line of symmetry, but basically you do the same thing, right? It touches it at three points. So if I start at the leftmost point, I'm gonna go up two blocks. I'll draw that line. And then I'll go back down to the second point where it meets on the line. And then I'll go up and around to make the top of the fish and back in, right? And I can always count the number of squares to make sure that it lines up perfectly because we want every point to be the same distance away from the line as its mirror image. And then we can do the same thing for the house and the tree, right? So the tree looks like it's two blocks away from the line. So we want the other tree to also be two blocks away from the line. And then the house is four blocks away. So we want the other house to also be four blocks away. And you can see the roof might be a little hard, but you can see how it's kind of slanted to the left a little bit. So we want the other, the mirror image of it to be slanted to the right a little bit. And of course the door has to be closer to the line than the window is, right? Even if that means we flip them around. And then for the last one, I think the tree might be the easiest at the bottom because all you do is you draw three reflected triangles, right? So there's a little one, the medium one, and then the big one. So I think it's not too hard once you know how to do it. Yeah, but you can practice later when you watch the recording. You can print out the student handout. I know some students, you do not have that one on hand, but we did already notice the parents. So they're all licensed student handout. It's already ready. So you can just download and print it out. So please tell your parents, let them to print all the handouts for the rest lessons for you before the class. Okay, so let's see the next part. So we will work on the symmetrical part. So Natalie folded a piece of paper in half and cut out a shape. So you can see on the top right. As showing the picture, which of the pictures below shows the piece of paper after it was unfolded. So you folded the paper, you cut out a part, and then you unfolded the paper. I believe this kind of question some of you might have already done before. This is not very hard question. I know some of you might try the pretty hard one before. Yeah, let's share the proof. So when you try to solve this problem, you need to find the folding line. There is a folding line. So you need to unfold the paper by the folding line. Okay, I think that's enough time. Yeah. Okay, good job. Still most of you get the correct answer. Very nice. Yeah. So here you can check this question. Do not overthink this question. So this one, the folding line is on the left. So you could unfold it. Yeah. And then you can see the A would be exactly match for it. So you can just draw the part. Like what we did in the practice before. So how to draw the other part along the symmetrical line, the folding line. So you would see A is the correct answer. And the B, C, D is definitely not correct. So some students, my question, yeah. So if I think the right side would be the folding line. So it's the same. So if you could find the correct answer by that way, but you cannot. So the right side, if you think the right side is a folding line, you unfold that way. You should have the open edge on both sides. But you cannot find that answer. So that's why the folding line must be on the left side. So that's something. Do not just overthink the question by that way. Okay, next one. Well, this is a little tricky one. Yeah, Anita. Ella puts on a t-shirt and stands in front of a mirror. Which of these images does she see in the mirror? So you can see her t-shirt has some numbers on it. And it's asking you what the numbers look like in the mirror. Not too bad. Yeah, I think this class is very good at to figure out. Yeah, I think they're surprisingly pretty fast with this one. Yeah, yeah, really surprised. I think this one should be a little challenging one. Yeah, this is a very typical mirror question, I think. Good that you guys are so good at this. Yeah, so we can share the answer. Yeah. So you guys can see you guys did really well on this one I think most of you got it right. Um, so let's see. So when she stands in the mirror, you understand that everything has to be flipped right so it won't. So every number has to be flipped in some of these only half the numbers are flipped, but they have to remain in the correct order. So, let's see. So, a is correct because we want it to be backwards, right so it's 2021, but when you stand in the mirror you see everything kind of backwards so it should be 1202, but with all the numbers flipped. Right, so we can check the numbers one by one so the one is flipped, right, the two is flipped, the zero stays the same whether it's flipped or not, so we'll assume it's good. And then the two is also flipped. And then in B, you can see that the order of the numbers is actually wrong. If this is what you saw in the mirror, then your shirt would actually say 1202 right which is not correct. And then in C it's the same thing, your shirt would say 2120. In D, you can see there's a lot of things wrong with it right the one and the two both are not flipped, and they should be flipped, and the numbers are in the incorrect order. And then in E it's the same thing, only the one and the two are not flipped again, the one at the front and the two at the end. So, that also cannot be it. So if you really want to check it out, you can just write the 2021 on a piece of paper, put it in front of you, and then stand in front of the mirror, and then you could check what the numbers you could read in the mirror, if you cannot really understand now. So, remember, when you put the number into the mirror. So, the every digit reversed flipped, and also their order also reversed. So remember that. Okay, so you can do the experiment. Yeah, write down on the piece of paper and put it in front of you, and you stand in front of the mirror, you can check it, how the number look like. Okay, next one, this one. Katia is in a boat on the lake. Which of the pictures does she see in the lake? I believe that all the recording link would be in the parent's account. So you can log into your account and try to find your purchase history. So you click this webinar, you would see all the links there. I'll give you guys 10 more seconds. Okay, so we have some students get a little confused for this reflection, and over half students get the correct answer, C is the correct answer. Let's take a look what happened. So you would see we talk about the mirror reflection, so you got everything left to right flipped, but if you look into the water, that would be upside down. So you can see the shape here, we show you. So on the, it's a, on the, there is a, the water, what you could see the tree, how the tree show in the water. So you could flip the tree on the, on the shore and upside down. So here you can see the bottom, you can see the bottom and the both bottom. So they come to the reflection line, the red line, we call it's a reflection line for this one. So you can see they connect to the, connect to the reflection line for the same distance and the same position. And that is same to the top of the tree. It's very easy for you to understand, but the only in the position of the moon that causes some confusion. So the moon, actually you should keep the same side of the tree. So if on the right side, so when you reflect to the water, you still came on the right side. Yeah, it's not like a mirror in front of you, that reflection, you change left, right, but this one, so you only change top down, yeah, upside down. So the moon still on the same side of the tree, but you have to pay attention, the moon cannot be left to right flipped. So you have to keep the same shape of the moon, only in the top and the bottom, they kind of, you know, the flipped over there. So you would see the bottom of the, of the, of the moon. Yeah, you could connect them together. They, they reach the reflection line, same distance. So this is a confused part. So some of you, you might flip the moon and also change the moon's position. Yeah, so pay attention to the, if you do the reflection, looking to the water, that would be upside down, not left to right at the mirror in front of you. Okay, next one, Elita. Yeah, this card is lying on the table. It is flipped over its top edge and then flipped over its left edge, as shown in the picture. What does the card look like after two flips? So the first flip, it's upside down. Yeah, they flip up. And the next flip, it's flip to the left. Okay, guys, we're very fast with this one. Yeah, maybe I'll stop and pull down. Oh yeah, you guys did really well, I think. Most of you got this right, and you guys did it in two minutes, which is pretty impressive for a four-point question. So good job, everybody. Okay, so let's see. So let's just go step-by-step, right? So first, let's figure out what it's like after we flip it over the top. You'll notice that the circle and the square stay the same because it doesn't matter what you do to them. If you flip them across the middle or not, they stay the same. Only the triangle changes, right? Because you see the point wants to be the same distance from the line as the reflected point, right? And then the bottom edge, the base of the triangle should be farther from the line than the point is. So it's kind of flipped upside down. And then when we flip it over its left edge in the picture, what happens is that the circle still wants to be the closest to the line out of all the three shapes. So really what they're doing is they're reversing an order. You'll notice that none of them look different though, because they're all symmetrical across the vertical axis, right? So if you put a line down the middle of them and you flip it, they stay exactly the same. So the order switches from circle, square, triangle to triangle, square, circle, right? Because the triangle is still the farthest away from the line. So then the correct answer would be B. Thank you, Yulita, very clear. Okay, this one may be a little tricky. So which step was used to get the picture showing on the right? So you can see this is the step, yeah, you get, yeah. And which step made this one? Hey, not too bad for this question. This is a five-point question. Yeah, this one's, I think, really hard. Yeah, because the options is really confused. It's very similar. Yeah, and I think it's just hard for them to picture. I think people don't use stamps as much anymore, maybe. All right, I think, wow, you guys are fast. Wow, 100% answer. All right, that's enough. So most of students, over half students got a correct answer. That's E. E is correct. And also, another thing I want to mention, in the competition, there is no guessing penalty. So please do not leave your answer blank. Even you do not know what's the right answer, but you can make a guess. So if you really cannot solve the problem, do not leave the answer blank. You still can guess A, B, C, D, E, which one might be most look like the correct answer for you. So fill in all the answers. Do not leave any answer blank. For this one, we can see the stamp. You can imagine, when you put the stamp on the paper, so you should get the stamp the left or right. Actually, they flipped. Yeah. So you can imagine, if you put this one on the paper, so it look like this. If this one face you, this is the right side. If you go to the paper, that would become the left side. Yeah. So you can see here, we show your symmetrical parts. Yeah, so you would see the, because when you see the stamp, when you look at the stamp, face you. So this is the right of the stamp, and this is the left of the stamp. But when you try to stamp onto the paper, you can imagine that the right side would go to the left, and left side would go to the right. So you would get each part would be like a mirror reflection to the symmetrical line. So you check A, B, C, D, E. So which one would be the correct one? So the E, you would figure out. No matter for the towel, the taller towel, or for the houses behind. So also, you need to check the windows and check the door, so by their position. So you could see the position. So first, you see the towel. So here, it's not exactly give you the exact distance, but actually, they should be the exact distance if we want to do the symmetrical. But you could see the towel connects to the reflection line, and also the door connect to the reflection line. And you could see the window part, and you could see on the wall, close to the towel, the window. So they are symmetrical by the reflection line, like mirror reflection. So this is a sense you can imagine your mind, or you can do in the real. Use the real things help you to understand. So this is the answer. I say it would be the correct answer. Good job, everyone. OK, so this question, bonus question, this one, maybe not hard for you. Based on current observation for the class, I think you're all good at do the symmetrical parts. Yeah, and I think everyone has hands, right? So everyone should be able to check. Yeah. Yeah, Elita, go ahead. So how many times does a right hand appear in the picture, and then just give you a bunch of hands? So you're saying, which one's the left hand and which one's the right hand, right? But be careful. There's a lot of them. You have your left hand and right hand. You can just match. You can just try and make each one, right? So even we recommend you to guess the question, but you still need to, at first you still need to spend some time to understand the question, try to solve the problem. So guess is the last choice. If you cannot make it, you make a guess. So I see some students immediately give the answer. So I'm not sure if you guess the answer or you just really solve it. So please make sure, spend some time to solve the problem. This one takes a while too. You have to test all of them. Yeah, I see some students just give the answer right away. So yeah, so you might be very good at this kind of question. Yeah, but I also want to remind you, for every question, we want you to try some time to figure them out. Oh, the class actually is done. Yeah, but we would have finished this question. Yeah. Yeah, if you need to leave, we will share the recording later. So for the last few minutes, you can watch the recording. I'm going to end the poll in 10 seconds. Sorry, I think it's kind of slow. There we go. OK, so I think for this one, it might be pretty easy to make mistakes because you have to check all of them. Five was the most popular answer, and that's the correct answer. So I think you guys did pretty well on this. So let's see, if we start from the first one, I don't know if you guys are seeing the mirror image of me or not, but I think it's the normal one. So you can see that my left hand makes that shape, but my right hand doesn't. It's flipped, and you can see it's looking at this side of your hand, not this side. So that's important. It's looking at this side. So the first one would be left, and then the second one, you go like this. It wants to see this side. So that would be the right hand, right? And then the third one, you see this is the left hand. This is the right hand. Only the left hand can make that shape, or I guess I'd have to go like this. But yeah, you guys can see that the left hand makes that shape. And then the fourth one, you see it's the right hand, right, because it wants the back of your hand, not the front of your hand. And then the fifth one, this might be kind of hard unless you go like this in front of a mirror, but you have to kind of hold it like this out in front of you so you can actually see it. But you see that that's the right hand because it's the back of your hand that makes that shape. And then the sixth one, it's the bunny ears, right, or the two sign. And that can only be made by the left hand. The right hand makes the mirror image of it. And then this, you go like this. You can see that's the right hand, right? And then this one, it's the same thing. I don't know if I can show you guys, but it's like that, right? So that's also the right hand. And then the second to last one, you want it like this. So that gives you the left hand because this one is actually the front side of your hand, not the back side. And then the last one is like this. So that's also made by the left hand. So this one, I think it's just easy to make mistakes. You have to make sure you know whether the image is on the front side or the back side of your hand because those are actually also two mirror images of each other. But I think you guys really understand symmetry pretty well. So good job, everybody. I think you guys did great today. Thank you, Elita. Yeah. So when trying to solve the problem for the identical figures, you should be very careful. Compare all the details, like shapes, size, or color, or even amount. So that should be exactly the same. About the symmetrical figures, you need to make sure this is a mirror image, or you look into the water. So that's reflection. You have a different reflection. You have a left to right reflection. You have upside down reflection. So sometimes the single figure also could have symmetrical parts, for the left right parts or top bottom parts. So those are the problems we can see in this lesson. And we could see a lot of students I think you're really good at to solve this kind of problem. So I think, yeah, so for you, just make more practice and understand all the, pay attention to all the details. Do not overlook some of the potential parts. To remember, five options, sometimes they give you a very similar option. So you have to pay attention to all the details. Thank you, everyone. We will share with you the recording soon, the recording all put into your Maskangro account. And we will see you next week. Thank you, Elita. Thank you, everyone. Have a wonderful day. Bye bye. Thank you, everybody. Bye.

symmetrical figures

identical figures

geometry lesson

mirror images

webinar exercises

visual symmetry

2D shapes

symmetry recognition

drawing exercises

real-world symmetry