false
Catalog
Grades 1-2 Video Solutions 2019
2019Levels12prob18
2019Levels12prob18
Back to course
[Please upgrade your browser to play this video content]
Video Transcription
Problem number 18. A figure has been cut into these three pieces. Which figure could have been cut? This problem is asking us which of these five shapes we can make using these three pieces. Because we're talking about cutting up the bigger shape, the pieces cannot overlap. In these three pieces, we have some curves and we have some corners. The most straightforward way to solve this problem is to see if we can put these pieces together in a way that makes any of these shapes. It's most likely that there will be some curves and corners in our final shape. Looking at figure A, if we divide the heart down the middle here, we can have this first shape on this side. Then we can have a triangle right here, and then the semicircle is the last piece. So A should be the correct answer because we can cut it up and get these pieces. Let's look at the other answers just to make sure that we are correct and we didn't miss anything. In B, we could have a semicircle. It's probably a little smaller than this. But then there is no way to put the other two pieces together to get a semicircle. If we put the first and last shapes together, we can get something like this. There's the first shape and then a shape like this. This will not help us get the other semicircle. However, it does look like figure C. However, C cannot be our answer because if we make the shape out of two of the pieces, there's no place to have cut the third piece from. We can't overlap because we're talking about cutting out pieces, not just making a shape out of them. Looking at answer D, there's no way to make a rectangle because there's no way to get rid of the rounded parts. And in E, there are three of these curves and we can't make that using the two curves that we have. So A is the correct answer. It is the only figure that could have been cut to get these three pieces. The answer is A.
Video Summary
The problem involves determining which figure among five options could be formed by three given pieces, factoring in matching curves and corners without overlapping. By examining each option, the solution deduces that only figure A—a heart shape—can be cut into these specific pieces. The reasoning is that the pieces fit the heart's components: splitting down the middle, placing a triangle, and then a semicircle. Other figures either can't accommodate all pieces without overlap or lack suitable contours, confirming A as the correct answer.
Keywords
puzzle
shapes
heart
matching
solution
×
Please select your language
1
English