If the areas of two squares is same, they are congruent. State whether the statement is true or false.

Solution:

Given, if the areas of two squares is same, they 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.

Area of a square = (side)²

The area of two squares can be 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 are congruent.

✦ Try This: If the perimeter of two squares is same, they are congruent. State whether the statement is true or false.

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

NCERT Exemplar Class 7 Maths Chapter 6 Problem 93

If the areas of two squares is same, they are congruent. State whether the statement is true or false.

Summary:

The given statement,”If the areas of two squares is same, they are congruent” is true.

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