kyla applied $r_m \\circ t_{0,3}$ to triangle abc. what mistakes did she make? check all that apply.$square$…

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

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

Answer

Brief Explanations:

  1. The notation $r_m \circ T_{0,3}$ means perform the translation $T_{0,3}$ first, then the reflection $r_m$. The diagram shows $\triangle A'B'C'$ is a scaled (larger) version of $\triangle ABC$, not a translation, so she changed the triangle's size instead of translating.
  2. The diagram shows $\triangle A'B'C'$ is a scaled copy, then $\triangle A''B''C''$ is a translated version of that scaled triangle. She did not apply a reflection at all, but instead used a rotation/translation after scaling.
  3. The order of composition is reversed: she did the size change (instead of translation) first, not the reflection first. The correct order would be translation then reflection, but she did not follow this.

Answer:

  • She changed the size of the triangle instead of just applying a translation.
  • She applied a rotation instead of a reflection.