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Question
to prove the triangles are congruent, which of the following rigid motions would map △ghj to △znp? (1 point) o translation along the vector, mapping point j to point p, then rotation - 90° (clockwise) about point j o rotation - 90° (clockwise) about point j, then translation along the vector, mapping point h to point z o translation along the vector, mapping point g to point n, then rotation - 90° (clockwise) about point g o translation along the vector, mapping point j to point p, then rotation 90° (counter - clockwise) about point j
Step1: Analyze orientation
The orientation of △GHJ needs a - 90° (clockwise) rotation about a point to match △ZNP. Point J is a common - sense choice for rotation center as it is a vertex of △GHJ.
Step2: Analyze translation
After rotation, a translation is needed to map the rotated △GHJ to △ZNP. Mapping point H to point Z aligns the two triangles correctly.
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rotation - 90° (clockwise) about point J, then translation along the vector, mapping point H to point Z