Question

which theorem is not a valid theorem to show that two triangles are congruent?
a. sas triangle congruence theorem
b. ssa triangle congruence theorem
c. asa triangle congruence theorem
d. aas triangle congruence theorem

Explanation:

Step1: Recall triangle congruence theorems

SAS (Side - Angle - Side), ASA (Angle - Side - Angle), and AAS (Angle - Angle - Side) are valid triangle congruence theorems.

Step2: Analyze SSA

SSA (Side - Side - Angle) is not a valid triangle congruence theorem in general. There are cases where two triangles with SSA congruence are not congruent.

Answer:

B. SSA Triangle Congruence Theorem