Geometry Homework help

Question

Determine if the two triangles shown are similar. If so, write the similarity statement.

	A)	Impossible to determine.
B)	ΔSUD ∼ ΔTUE
C)	The triangles are not similar.
D)	ΔSUD ∼ ΔEUT

Answer 1

Since we are only given two sides and an angle we would need to prove the triangles are similar by SAS, where an included angle is congruent between the two triangles and the ratios of the two corresponding adjacent sides are equal.

We have the included angle SUD equal because of vertical angles, but the ratios of the corresponding sides 16/40 and 16/39 are not the same, so the triangles are not similar.