Problem 174 of 7
Write a short rigid-motion argument proving triangle XYZ congruent to triangle X'Y'Z' after rotation 90 degrees counterclockwise about the origin.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
communicate transformation sequence and corresponding parts.
Hidden until you reveal it.
Claim must provide or imply a rigid-motion mapping between corresponding vertices.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. State the rigid motion and vertex mapping.
2. State that the rigid motion preserves distances and angles.
3. Conclude the triangles are congruent.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Proof paragraphs that omit why rigid motion implies congruence.