Question

ssa
sas
sss
aas
which triangle congruence theorem can be used to prove the triangles
are congruent?

Explanation:

Step1: Recall triangle congruence theorems

SSS (Side - Side - Side): If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
SAS (Side - Angle - Side): 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.
AAS (Angle - Angle - Side): If two angles and a non - included side of one triangle are equal to two angles and the corresponding non - included side of another triangle, the triangles are congruent.
SSA (Side - Side - Angle) is not a valid congruence theorem in general (except for the right - triangle case where it is called HL).

Looking at the given triangles (assuming the figure shows two triangles with two pairs of sides equal and the included angle equal).

Step2: Apply the SAS theorem

Since the figure likely shows two sides and the included angle (based on the standard triangle congruence set - up for such problems) equal for the two triangles.

Answer:

SAS