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.
(images of triangles uvw and xyz with side lengths: uvw has sides 50, 60, 40; xyz has sides 32, 48, 40 and angle markings indicating corresponding angles)

Explanation:

Step1: Check angle correspondence

Triangles UVW and XYZ have matching marked angles (AA similarity).

Step2: Compare side ratios

UVW sides: 40,50,60; XYZ sides:32,40,48. Ratios: $\frac{40}{32}=\frac{50}{40}=\frac{60}{48}=1.25$ (similar). Sides not equal (not congruent).

Answer:

B. They are similar, but not congruent.