Question

4.2.2. transformation reflections

1. is \\( \triangle j k l \\) congruent to \\( \triangle m n p \\)? if so, what composition of

transformations maps \\( \triangle j k l \\) onto \\( \triangle m n p \\)?

Explanation:

Step1: Check congruence

Congruent triangles have the same shape and size. Since reflection is a rigid transformation (preserves shape and size), if we can map one triangle to the other via reflections, they are congruent.

Step2: Determine transformation

First, reflect \(\triangle{JKL}\) over the \(x -\)axis. Then reflect the resulting triangle over the \(y -\)axis.

Answer:

Yes, \(\triangle{JKL}\) is congruent to \(\triangle{MNP}\). The composition of transformations is a reflection over the \(x -\)axis followed by a reflection over the \(y -\)axis.