Two squares having the same perimeter are congruent. State whether the statement is true or false.

Solution:

Given, two squares having the same perimeter are congruent.

We have to determine if the given statement is true or false.

If two figures have the same shape and the same size, then they are said to be congruent figures.

Perimeter of a square = 4 × side

The perimeter of two squares can be the same only if the side length of both the squares are equal.

So, the squares with the same side length will super impose each other completely.

This implies that both squares will overlap each other exactly.

Therefore, the squares with the same perimeter are congruent.

✦ Try This: Two squares having the same side lengths are congruent. State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6

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NCERT Exemplar Class 7 Maths Chapter 6 Problem 96

Two squares having the same perimeter are congruent. State whether the statement is true or false.

Summary:

The given statement,”Two squares having the same perimeter are congruent” is true.

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