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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? the diagonal lengths are equal. 2. move vertex a so that the sides are all congruent. what do you notice about the diagonals? the diagonal lengths are equal. the diagonals are perpendicular. 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 properties of special parallelograms
When all sides of a parallelogram are congruent, it is a rhombus. One of the properties of a rhombus is that its diagonals are perpendicular bisectors of each other.
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The diagonals are perpendicular