Final answer:
The property of similarity that can be used to prove triangles STR and VWU are similar is the Angle-Angle (AA) similarity theorem. In order to use the AA similarity theorem, we need to show that two pairs of corresponding angles in the triangles are congruent.
Step-by-step explanation:
The property of similarity that can be used to prove triangles STR and VWU are similar is the Angle-Angle (AA) similarity theorem.
In order to use the AA similarity theorem, we need to show that two pairs of corresponding angles in the triangles are congruent.
- First, we can show that ∠S = ∠V and ∠R = ∠W by using given information or additional given angles.
- Next, we can show that ∠T = ∠U by using the fact that angles in a triangle sum to 180 degrees.
- By showing that all three pairs of corresponding angles are congruent, we can conclude that triangles STR and VWU are similar by the AA similarity theorem.