Question

a composition of transformations maps δxyz to δxyz.
the first transformation for this composition is ______, and the second transformation is a 90° rotation about point x.
○ a 180° rotation about point x
○ a 270° rotation about point x
○ a translation to the right
○ a reflection across line m

Explanation:

First, identify the relationship between $\triangle XYZ$ and the intermediate triangle (before the 90° rotation). A reflection across line $m$ maps $\triangle XYZ$ to the lower blue triangle with vertex $X$ shared, matching the mirror-like flip over line $m$. The second step is given as a 90° rotation about $X$ to reach $\triangle X''Y''Z''$.

Answer:

a reflection across line $m$