Question

Write a paragraph proof to prove that triangles VWT and VUW are similar based on the information and figure shown below.

Answer 1

In order to prove that two triangles are similar, there are some cases we can analyse.

In this case, since we have only angle measures, let's try to prove the similarity using the case AA (angle-angle).

The triangles VWT and VUW have two angles in common (each one has a right angle and they have the angle UVW in common), so they are similar using the case AA (angle-angle).