Question

4 - 1 additional practice
congruence

1. a reflection over the x - axis maps \\( \triangle abc \\) to \\( \triangle a ^ { prime } b ^ { prime } c ^ { prime } \\). do the preimage

and image have the same size and shape? explain.
find a congruence transformation that maps \\( \triangle rst \\) to \\( \triangle uvw \\).
2.
3.

Explanation:

Step1: Understand reflection property

A reflection is a rigid transformation. Rigid transformations (like reflections, translations, rotations) preserve the size and shape of a figure.

Step2: Apply to the triangle

When \(\triangle ABC\) is reflected over the \(x -\)axis to get \(\triangle A'B'C'\), since reflection is a rigid transformation, the pre - image \(\triangle ABC\) and the image \(\triangle A'B'C'\) have the same size and shape.

Answer:

Yes, the pre - image and image have the same size and shape. Because reflection is a rigid transformation, and rigid transformations preserve the size and shape of a figure.