Question

Given that ( OR = 4 ), ( RS = 15 ), and ( angle R = 38^circ ) in triangle ( ORS ), and ( VT = 8 ), ( TU = 32 ), and ( angle T = 38^circ ) in triangle ( AUVT ), are the polygons similar?

a) Yes; ( triangle SAT sim triangle UVT ); 1:2
b) No

Answer 1

Yes, the polygons are similar.

Step-by-step explanation:

Triangles ORS and AUVT are similar because they have corresponding angles that are equal. In triangle ORS, angle R is 38°. In triangle AUVT, angle T is also 38°. The fact that the angles are equal means that the polygons are similar.