The angles of the triangles shown in the illustration are $a = 60 ^ { \circ }$ , $b = 60 ^ { \circ }$ . The triangles are congruent because of what property?
A) SAS property
B) ASA property
C) SSS property

Question

The angles of the triangles shown in the illustration are  $a = 60 ^ { \circ }$ , $b = 60 ^ { \circ }$ . The triangles are congruent because of what property? 
A) SAS property 
B) ASA property 
C) SSS property

Quizplus · Accepted Answer

The triangles are congruent because of the ASA (Angle-Side-Angle) property, which states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the triangles are congruent. In this case, both triangles have two angles (60° and 60°) that are congruent, and the included side (the side between those two angles) is also congruent in both triangles. Therefore, the triangles are congruent by ASA.

The Angles of the Triangles Shown in the Illustration Are a=60∘a = 60 ^ { \circ }a=60∘

The Angles of the Triangles Shown in the Illustration Are $a = 60 ^ { \circ }$