Question

1. quadrilateral ( abcd ) is congruent to quadrilateral ( abcd ).

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

Explanation:

Step1: Translate

Translate quadrilateral \(ABCD\) so that point \(A\) coincides with \(A'\).

Step2: Rotate

Rotate the translated quadrilateral about point \(A'\) (which was originally \(A\)) until \(AB\) aligns with \(A'B'\).

Answer:

First, translate quadrilateral \(ABCD\) so that \(A\) maps to \(A'\). Then, rotate the translated quadrilateral about \(A'\) until \(B\) maps to \(B'\), \(C\) maps to \(C'\), and \(D\) maps to \(D'\).