Problem 49 of 7
Prove opposite sides of parallelogram ABCD with diagonal AC are congruent.
Using a hint is okay. It just tells the trainer to give you a little more review.
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use diagonal-created triangle congruence.
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Proof must use a diagonal and triangle congruence or equivalent parallelogram reasoning.
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Walkthrough
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1. Draw a diagonal to form two triangles.
2. Use parallel-line angle relationships and shared side for congruence.
3. Conclude opposite sides are congruent by corresponding parts.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Simply restating the theorem as proof.