Question

geometry with statistics honors - ferraro - 2 - a
topic 4: readiness assessment
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 rotation.
c. yes; △abc maps onto △xyz with a translation and a reflection.
d. no; the triangles are different sizes.
review progress

Explanation:

Step1: Analyze side - lengths

In $\triangle ABC$, sides are 5 and 13. In $\triangle XYZ$, sides are 5 and 13. Also, both are right - angled triangles.

Step2: Check for congruence

We can see that $\triangle ABC$ can be mapped onto $\triangle XYZ$ by a translation and a rotation. The right - angle position and side - length correspondence match.

Answer:

A. Yes; $\triangle ABC$ maps onto $\triangle XYZ$ with a translation and a rotation.