Question

state the triangle congruence theorem that proves the triangles congruent. answer sas asa hl sss

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.
• 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.
• HL (Hypotenuse - Leg): Applies to right - angled triangles where the hypotenuse and one leg are equal.
• SSS (Side - Side - Side): All three sides of one triangle are equal to all three sides of another triangle.

Step2: Analyze the given triangles

In the given triangles, we have two angles and the included side. For example, in \(\triangle ABC\) and \(\triangle DST\), we can see that two angles and the side between them (the included side) are marked as equal.

Answer:

ASA