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 $\triangle ABC$, two side - lengths are given as $AC = 5$ and $AB=13$. In $\triangle XYZ$, two side - lengths are $XZ = 5$ and $XY = 13$. Also, both are right - angled triangles.

Step2: Analyze transformation

By observing the orientation of the triangles, $\triangle ABC$ can be mapped onto $\triangle XYZ$ with a translation (to move it to the right position) and a reflection (to flip it to match the orientation).

Answer:

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