Question

1. name the congruence postulate that proves the triangles are congruent: a. sss b. sas c. asa d. aas

Explanation:

• AAS (Angle - Angle - Side) Congruence Postulate:
• In the given triangles, we have two right angles (one in each triangle) which are equal (\(\angle ABD=\angle CBD = 90^{\circ}\)).
• There is a common side \(BD\) (side).
• Also, the non - included angles (\(\angle ADB\) and \(\angle CDB\)) are equal.
• The AAS postulate states that if two angles and a non - included side of one triangle are congruent to two angles and the corresponding non - included side of another triangle, then the two triangles are congruent.

Answer:

D. AAS