Question

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

Explanation:

Step1: Recall triangle congruence theorems

• SSS (Side - Side - Side): All three sides of one triangle are equal to the corresponding sides of another triangle.
• SAS (Side - Angle - Side): Two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.
• AAS (Angle - Angle - Side): Two angles and a non - included side of one triangle are equal to the corresponding two angles and non - included side of another triangle.
• HL (Hypotenuse - Leg): For right - angled triangles, the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

Step2: Analyze the given triangles

From the markings on the triangles, we can see that two sides and the included angle (the angle between the two sides) of one triangle are equal to the corresponding two sides and included angle of the other triangle.

Answer:

SAS