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is parallelogram defg a rectangle?

Question

is parallelogram defg a rectangle?

Explanation:

Step1: Recall the property of rectangles

A parallelogram is a rectangle if and only if its diagonals are equal in length.

Step2: Analyze the diagonals of parallelogram \(DEFG\)

In parallelogram \(DEFG\), the diagonals are \(EG\) and \(DF\). From the markings in the figure, the diagonals \(EG\) and \(DF\) are congruent (marked with the same number of tick - marks).

Answer:

yes