Question

kyla applied $r_m circ t_{0,3}$ to triangle abc. what mistakes did she make? check all that apply. she applied the rotation to the triangle first. she applied the reflection to the triangle first. she changed the size of the triangle instead of just applying a translation. she translated the triangle down instead of just applying a reflection. she applied a rotation instead of a reflection.

Explanation:

The notation $r_m\circ T_{0,3}$ means first perform the translation $T_{0,3}$ (a translation 3 units up since the y - value of the translation vector is 3) and then the reflection $r_m$ across line $m$. Looking at the figure, the triangle has changed size (it has been dilated), which is not part of the given composition of transformation. Also, if the correct order was followed, the translation should have been done first.

Answer:

She applied the reflection to the triangle first.
She changed the size of the triangle instead of just applying a translation.