which rule explains why these triangles are congruent? aas sss sas asa these triangles cannot be proven…

which rule explains why these triangles are congruent? aas sss sas asa these triangles cannot be proven congruent.

which rule explains why these triangles are congruent? aas sss sas asa these triangles cannot be proven congruent.

Answer

Explanation:

Step1: Identify the congruent parts

We have two triangles ( \triangle FJH) and ( \triangle FGH). There is a pair of equal sides ((FJ = FG) as marked with one tick), a common side ((FH=FH)), and a pair of equal angles ((\angle JFH=\angle GFH) as marked).

Step2: Recall the SAS (Side - Angle - Side) criterion

The SAS (Side - Angle - Side) congruence criterion states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent. Here, the two sides (FJ = FG), (FH = FH) and the included angle (\angle JFH=\angle GFH) satisfy the SAS condition.

Answer:

SAS