Cut-out a parallelogram from a sheet of paper again and cut along one of its diagonal. What kind of shapes you obtain? What can you say about these triangles?

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Solution

Cut-out a parallelogram from a sheet of paper and again cut along one of its diagonals. After cutting we will obtain 2 triangles. Now, place one triangle over the other. Turn one around, if necessary. We can see that two triangles are congruent to each other.

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Question 27
Take a square piece of paper as shown in figure (1). Fold it along its diagonals as shown in figure (2). Again fold it as shown in figure (3). Imagine that you have cut off 3 pieces of the form of the congruent isosceles right-angled triangle out of it as shown in figure (4).

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