Question

which statement best describes triangles uvw and xyz?
they are similar and congruent
they are similar, but not congruent
they are congruent, but not similar
they are neither congruent nor similar

Explanation:

First, check similarity by comparing corresponding sides. Triangle UVW has sides 40, 50, 60; triangle XYZ has sides 32, 40, 48. The ratios of corresponding sides are $\frac{40}{32}=\frac{5}{4}$, $\frac{50}{40}=\frac{5}{4}$, $\frac{60}{48}=\frac{5}{4}$—all equal, so they are similar. Congruent triangles require equal side lengths, but these sides are proportional (not equal), so not congruent.

Answer:

B. They are similar, but not congruent