Question

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

Explanation:

Step1: Identify given congruent parts

In triangles \( \triangle KMH \) and \( \triangle KJH \):

• Side \( KM \cong KJ \) (marked with one tick).
• Side \( HJ \cong HM \) (marked with one tick).
• Angle \( \angle M \cong \angle J \) (marked with red arcs).

Step2: Match with congruence rules

The SAS (Side - Angle - Side) congruence rule states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent. Here, we have two sides (\( KM \cong KJ \), \( HM \cong HJ \)) and the included angle (\( \angle M \cong \angle J \)) congruent. So the SAS rule applies.

Answer:

A. SAS