Question

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

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.
• ASA (Angle - Side - Angle): 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.
• HL (Hypotenuse - Leg): For right - angled triangles, if the hypotenuse and a leg of one right - angled triangle are equal to the hypotenuse and a leg of another right - angled triangle, the triangles are congruent.

Step2: Analyze the given triangles

From the markings on the triangles, we can see that all three corresponding sides of the two triangles are equal.

Answer:

SSS