Question

1. which condition does not prove that two triangles are congruent? (1) sss ≅ sss (2) ssa ≅ ssa (3) sas ≅ sas (4) asa ≅ asa

Explanation:

Step1: Recall congruence criteria

SSS (Side - Side - Side), SAS (Side - Angle - Side), ASA (Angle - Side - Angle) are valid congruence criteria for triangles.

Step2: Analyze SSA

SSA (Side - Side - Angle) is not a valid congruence criterion. For example, consider two triangles where two sides and a non - included angle are equal. There can be two different triangles (ambiguous case) satisfying the SSA condition.

Answer:

(2) SSA ≅ SSA