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6. triangle abc is congruent to triangle abc. describe a sequence of ri…

Question

  1. triangle abc is congruent to triangle abc.

describe a sequence of rigid motions that takes a to a, b to b, and c to c.

Explanation:

Step1: Translation

Translate triangle \(ABC\) so that point \(A\) coincides with point \(A'\).

Step2: Rotation

Rotate the translated triangle around point \(A'\) until it aligns with triangle \(A'B'C'\).

Answer:

First, translate triangle \(ABC\) so that \(A\) maps to \(A'\). Then, rotate the translated triangle around \(A'\) to map \(B\) to \(B'\) and \(C\) to \(C'\).