Question

1. which of the following is not a postulate used to prove triangle congruence? a. sss b. asa c. aa d. sas 14. which point of concurrency is equidistant from all three sides of a triangle? a. incenter b. orthocenter c. centroid d. circumcenter 15. which postulate can be used to prove that two triangles are congruent if two sides and the included angle are known? a. asa b. aas c. sas d. sss

Explanation:

1. SSS (Side - Side - Side), ASA (Angle - Side - Angle), and SAS (Side - Angle - Side) are postulates for triangle congruence. AA (Angle - Angle) only shows similarity, not congruence.
2. The in - center of a triangle is the point of concurrency of the angle bisectors and is equidistant from all three sides.
3. The SAS (Side - Angle - Side) postulate is used to prove triangle congruence when two sides and the included angle are known.

Answer:

1. c. AA
2. a. Incenter
3. c. SAS