Question

in the graphic below, $\triangle sta \cong \triangle ays$ by: image of two triangles with congruency marks options: asa, aas, sss

Explanation:

Step1: Recall triangle congruence criteria

• 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.
• 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 \(\triangle STA\) and \(\triangle AYS\), we can see that \(ST = AY\) (marked with one tick), \(SA=SA\) (common side), and \(TA = YS\) (marked with two ticks).

Answer:

SSS