Question

analyzing a sequence of transformations
kyla applied ( r_m cdot 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 \(r_m\cdot T_{0,3}\) means first apply reflection \(r_m\) (reflection over line \(m\)) and then translation \(T_{0,3}\) (translation by \(0\) in \(x -\)direction and \(3\) in \(y -\)direction). But she applied the rotation (which is wrong as per the notation, should be reflection) first. Also, she changed the size (which is not part of reflection - translation, these are rigid transformations that preserve size) instead of just applying a translation (after reflection).

Answer:

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