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13. which rule explains why these triangles are congruent? aas sas sss …

Question

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

Explanation:

Step1: Identify vertical angles

Vertical angles are equal. So, \(\angle JFK=\angle GFH\)

Step2: Analyze side - angle - side (SAS)

From the figure, \(JF = GF\), \(KF=HF\) (marked with equal segments), and \(\angle JFK=\angle GFH\) (vertical angles). By the Side - Angle - Side (SAS) congruence rule, \(\triangle JFK\cong\triangle GFH\)

Answer:

SAS