Question

the following triangles can be proven congruent by which theorem, if any? sas sss asa aas hl cannot be proven congruent

Explanation:

Step1: Recall triangle congruence theorems

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

Step2: Analyze the given triangles

The markings on the triangles show that all three pairs of corresponding sides are equal.

Answer:

B. SSS