Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

explore special parallelograms by following these steps. 1. move vertex…

Question

explore special parallelograms by following these steps. 1. move vertex a so that ∠bad is a right - angle. what do you notice about the diagonals? sides ab = 41 units cd = 41 units ad = 60 units bc = 60 units diagonals ac = 81 units bd = 64 units angles m∠bad = 76° m∠aeb = 68°

Explanation:

Step1: Recall property of rectangle

A parallelogram with one - right angle is a rectangle. In a rectangle, the diagonals are congruent.

Step2: Analyze the given parallelogram

When $\angle BAD = 90^{\circ}$, the parallelogram $ABCD$ becomes a rectangle.

Answer:

The diagonals are congruent.