Question

question 5 of 25
mary states, \if the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.\ decide if her statement is true or false.
a. true
b. false

Explanation:

One of the properties of a rectangle is that its diagonals are congruent. Also, if the diagonals of a parallelogram are congruent, we can prove using triangle - congruence (e.g., SSS - Side - Side - Side congruence criterion) that the parallelogram has right angles, which is a defining property of a rectangle.

Answer:

A. True