which rule explains why these triangles are congruent?\nasa\nsas\naas\nsss\nthese triangles cannot be proven…

which rule explains why these triangles are congruent?\nasa\nsas\naas\nsss\nthese triangles cannot be proven congruent.

which rule explains why these triangles are congruent?\nasa\nsas\naas\nsss\nthese triangles cannot be proven congruent.

Answer

Explanation:

Step1: Identify vertical angles

Vertical angles are equal. So, (\angle HBG=\angle FBC)

Step2: Analyze side - angle - side (SAS)

From the figure, (HB = FB), (\angle HBG=\angle FBC), (BG = BC). By the SAS (Side - Angle - Side) congruence rule, if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Answer:

SAS