Question

triangle pqr is similar to triangle xyz. what is the measure, in millimeters, of segment zx? a. 6 b. 1 c. 2 d. 18

Explanation:

Step1: Find the similarity ratio

The ratio of corresponding sides of similar triangles is the same. For sides $PQ$ and $XY$, the ratio is $\frac{6}{2}= 3$.

Step2: Calculate $ZX$

Side $PR$ corresponds to $ZX$. Since $\frac{PR}{ZX}=3$ and $PR = 18$, then $ZX=\frac{18}{3}=6$.

Answer:

A. 6