Problem 134 of 7
Prove quadrilateral EFGH is a rectangle using opposite sides EF and GH are congruent, opposite sides FG and EH are congruent, and angle E is 90 degrees.
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add right angle or congruent diagonals condition.
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Proof must first establish parallelogram status, then add a rectangle condition.
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Walkthrough
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1. Establish the quadrilateral is a parallelogram if not already given.
2. Identify the extra rectangle condition.
3. Conclude the figure is a rectangle.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Proving only parallelogram without rectangle condition.