Question

which criteria for triangle congruence will prove triangle jkl is congruent to triangle jkl? select the three that apply. side side side side angle side side side angle angle side angle angle angle angle

Explanation:

Step1: Recall congruence criteria

Side - Side - Side (SSS) states that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent. Side - Angle - Side (SAS) states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent. Angle - Side - Angle (ASA) states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent. Side - Side - Angle (SSA) is not a valid congruence criterion in general as it can lead to non - congruent triangles. Angle - Angle - Angle (AAA) only guarantees similarity, not congruence.

Step2: Analyze the situation

For two congruent triangles, SSS, SAS and ASA can be used to prove congruence.

Answer:

Side Side Side
Side Angle Side
Angle Side Angle