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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°
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.
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The diagonals are congruent.