Question

which rule describes the composition of transformations that maps figure abcde to figure abcde? rm o rc,90° rm o rc,180° rc,180° o rm rc,90° o rm

Explanation:

Step1: Identify initial transformation

Original figure ABCDE (right of line m) → reflect over vertical line m to get A'B'C'D'E' (left of m).

Step2: Identify second transformation

A'B'C'D'E' → rotate 180° around point C' to get A''B''C''D''E'' (below A'B'C'D'E').

Step3: Determine composition order

Composition is right-to-left: first reflect (r_m), then rotate (R_C', 180°).

Answer:

R_C', 180° ∘ r_m