Question

What can you conclude about the two triangles? Why?

A) They are congruent as the three angles have the same measure.
B) They are similar as the three angles have the same measure.
C) They have one set of congruent angles.
D) They have two sets of congruent angles.

Answer 1

The correct answer is A. We know that Angle D is 81° and Angle C is 56° and Angle A is 43°. The two triangles are connected by Angle C, resulting in vertical angles and the angles being congruent. With that information, adding 81 + 56 + 43 equals 180. Angle A can be substituted for Angle E and Angle D can be substituted for Angle B; therefore, the triangles are congruent.

Answer 2

The answer to this is C.