Question

Is triangle VUW similar to triangle VXY? If yes, explain how you know. If no, explain why not.​

Answer 1

Answer:

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

Step-by-step explanation:

Answer 2

Answer:

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

Step-by-step explanation:

we know that

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

In this problem

m<VXY=m<VUW ------> by corresponding angles

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

therefore

m<XYV=m<UWV -------> because the sum of the interior angles in a triangle must be equal to 180 degrees

therefore

Triangles VUW and VXY are similar by AA Similarity Postulate------> The three internal angles are congruent