# 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 congruent isosceles right-angled triangles out of it as shown in figure 4.

On opening the piece of paper which of the following shapes will you get?

**Solution:**

We know that

A shape is said to be symmetric if it can be divided into two more identical pieces which are placed in an organized way.

If we open the piece of paper according to the condition you will obtain the figure as in option (a).

Therefore, you will get the shape as shown in option (a).

**✦ Try This: **How many lines of symmetry does the letter A have?

We know that

The line of symmetry is a line that divides an object into two identical pieces.

Therefore, the letter A has 1 line of symmetry.

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 10

**NCERT Exemplar Class 7 Maths Chapter 12 Problem 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 congruent isosceles right-angled triangles out of it as shown in figure 4. On opening the piece of paper which of the following shapes will you get?

**Summary:**

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 congruent isosceles right-angled triangles out of it as shown in figure 4. On opening the piece of paper you get the shape as in option (a).

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