Question

are these triangles congruent? if so, state the rule which you used to determine congruence. sss asa not congruent sas

Explanation:

Step1: Recall congruence rules

SSS (Side - Side - Side): All three sides of one triangle equal to three sides of another. ASA (Angle - Side - Angle): Two angles and the included side equal. SAS (Side - Angle - Side): Two sides and the included angle equal.

Step2: Analyze given triangles

In \(\triangle ABC\) and \(\triangle QRS\), we have two sides equal (marked with one and two ticks) but the included angles (\(\angle A\) and \(\angle R\)) are not indicated as equal. There is no information about all three sides (SSS not applicable), two angles and included side (ASA not applicable). Since the given information does not satisfy SSS, ASA or SAS for congruence.

Answer:

Not Congruent