Question

Two squares having the same perimeter are congruent. Yes or No?

Answer 1

Yes, two squares are congruent if they have the same perimeter.

We know that

$Perimeterofsquare=4\times side$

Since two squares have same perimeter that means they have the same side length.

If they have the same side length then they are of the same size and shape.

We know that two congruent figures have the same size and shape.

Hence, the two squares are congruent.