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:

Step1: Check similarity

For two triangles to be similar, their corresponding sides must be in proportion.
For triangle \(UVW\) with sides \(40\), \(50\), \(60\) and triangle \(XYZ\) with sides \(32\), \(40\), \(48\)
\(\frac{32}{40}=\frac{40}{50}=\frac{48}{60} = 0.8\)
Since the ratios of corresponding sides are equal, the triangles are similar.

Step2: Check congruency

For two triangles to be congruent, their corresponding sides must be equal.
\(32
eq40\), \(40
eq50\), \(48
eq60\)
Since the corresponding sides are not equal, the triangles are not congruent.

Answer:

They are similar, but not congruent.