Question

self - assessment

1. reasoning a composition of rigid motions maps one figure to another figure. is the image at each step of composition congruent to the preimage and the final image? explain.
2. in example 2, describe another congruence transformation that maps \\( \square a b c d \\) to \\( \square e f g h \\).
3. describe a congruence transformation that maps \\( \triangle j k l \\) to \\( \triangle m n p \\).

Explanation:

A congruence transformation involves rigid motions (translation, rotation, reflection). First, reflect $\triangle JKL$ over the $x$-axis. This flips the figure vertically. Then, translate the reflected triangle. A translation moves the figure without rotating or resizing.

Answer:

Reflect $\triangle JKL$ over the $x$-axis and then translate it 3 units to the right and 3 units down.