Question

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

Explanation:

Step1: Recall Congruence Rules

• SSS (Side - Side - Side): If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
• AAS (Angle - Angle - Side): If two angles and a non - included side of one triangle are equal to two angles and the corresponding non - included side 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.

Step2: Analyze the Given Triangles

• Let's assume the two triangles are \(\triangle BFG\) and \(\triangle BFC\).
• We have a common side \(BF\).
• There are two pairs of equal angles (as marked in the figure).
• The side \(BF\) is included between the two pairs of equal angles.

Answer:

ASA