Question

Which statement best describes triangles UVW and

XYZ?
A. They are similar and congruent.
B. They are similar, but not congruent.
C. They are congruent, but not similar.
D. They are neither congruent nor similar.

Answer 1

Explanation:

B- They are similar but not congruent.

Answer 2

Option B. They are similar, but not congruent

Explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

If two figures are congruent, then its corresponding sides are congruent and its corresponding angles are congruent

In this problem

The corresponding angles are congruent but the corresponding sides are not congruent

therefore

The triangles are only similar

Verify the proportionality of their corresponding sides

UW/XZ=UV/XY ----> 40/32=50/40 ----> 1,600=1.600 is ok

UW/XZ=VW/YZ ----> 40/32=60/48 ----> 1,920=1,920 is ok

UV/XY=VW/YZ ----> 50/40=60/48 ---> 2,400=2,400 is ok