Question

Is vuw similar to vxy? if yes, explain how you know. if no, explain why not.

Answer 1

Answer:

Yes, because m<UVW is congruent to m<XVY and m<VUW is congruent to m<VXY

Step-by-step explanation:

we know that

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

so

In this problem

we know that

$m< VUW=55\°$

the measure of angle VXY is equal to

$m$ -----> by supplementary angles

$m$

therefore

$m< VUW=m$

Remember that

m<UVW=m<XVY -----> is the same vertex

therefore

Triangles VUW and VXY are similar by AAA Similarity Theorem ( the three angles are congruent)