Question

Which of the following best describes triangle TUV and triangle XYZ? Please help!

Answer 1

Option C. Triangle TUV is similar to triangle XYZ

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 and its corresponding angles are congruent

In this problem, the corresponding angles between triangle TUV and triangle XYZ are congruent, but its corresponding sides are not congruent

therefore

The triangles are similar

so

The ratio of its corresponding sides must be proportional

Verify

`(XY)/(TU)=(YZ)/(UV)`

substitute the values

`(6)/(3)=(6)/(3V)`

`2=2` ---> is ok