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Grades 5-6 Video Solutions 2022
2022_5-6_15
2022_5-6_15
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Video Transcription
Question number 15. The picture shows a piece of transparent paper with the design drawn in. The paper is then folded twice as shown. What will be seen on the folded paper? We have to consider the problem step-by-step, so we'll consider each fold individually and then we'll move on once we've determined what each fold results in. So after the horizontal fold, the paper is going to be shown as... will be as shown on the right. So after we fold over this axis over here, this triangle is going to flip and become upside down over here, and that results in something that looks like this image. So we can already see that there's like a triangle over here, and this square over here, and this triangle over here, and we can already maybe make some educated guesses, but first let's fold over this vertical line, and we have this square that contains six triangles 1, 2, 3, 4, 5, 6, and now this image kind of immediately tells us which of these pictures it is. The answer is A, and of course the important things to note here is the directions of these lines. So we noticed how both of these lines are going in the same direction, pointing towards the center, and answer choice C, although it's kind of similar, these lines are parallel to the diagonal. That's an important thing to note, and answer choice E and B, there's the triangles are overlapping, which you can kind of see when we do these folds one step at a time, that that's not going to happen, and then of course in D, they overlap in the same little smaller quadrant, sorry, which is a mistake again. So the answer is A. We need to go through this problem step by step to get to there.
Video Summary
The problem involves determining the final design seen on folded transparent paper after two sequential folds. First, a horizontal fold flips a triangle upside down. Then, a vertical fold results in six visible triangles in a square. By carefully analyzing each fold, the correct answer is revealed as option A due to its matching directionality of lines toward the center. Other options (C, E, B, D) show incorrect overlap or orientation of triangles, which is clarified by examining the folds step-by-step. The conclusion emphasizes the importance of observing directions and positions in each step.
Keywords
folded paper
transparent
triangles
directionality
overlap
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