Question

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:

Step1: Recall parallelogram properties

One of the properties of a rectangle (which is a special - type of parallelogram) is that its diagonals are congruent. Also, in a general parallelogram, the diagonals are not congruent. If the diagonals of a parallelogram are congruent, we can prove that the parallelogram is a rectangle using congruent - triangle proofs. For example, in parallelogram \(ABCD\) with diagonals \(AC\) and \(BD\), if \(AC = BD\), we can show that the angles of the parallelogram are right - angles.

Answer:

A. True