Question

does △abc appear to be the same size and shape as △xyz? explain.
a yes, △abc maps onto △xyz with a translation and a rotation
b yes, △abc maps onto △xyz with a translation and a reflection
c yes, △abc maps onto △xyz with a rotation and a reflection
d no, the triangles are different sizes.

Explanation:

Step1: Check side - length equality

In $\triangle ABC$, $AC = 5$, $AB=13$ and in $\triangle XYZ$, $XZ = 5$, $XY = 13$. Also, both are right - angled triangles.

Step2: Analyze transformation

We can first translate $\triangle ABC$ so that a corresponding vertex (e.g., $C$ and $Z$) coincide. Then, we can reflect $\triangle ABC$ across a line to make it coincide with $\triangle XYZ$.

Answer:

B. Yes, $\triangle ABC$ maps onto $\triangle XYZ$ with a translation and a reflection