Question

If two rectangles have the same perimeter, do they have to be congruent?

Explain your thinking,

Answer 1

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Answer:

no

Explanation:

For the perimeter to be the same, the sum of side lengths must be the same. That does not mean the side lengths themselves must be the same.

A 4×4 rectangle (square) and a 5×3 rectangle have the same perimeter, but are not congruent.