Question

if not congruent, write none in both slots. these triangles can be proven congruent by □. △kjm≅△□

Explanation:

Step1: Identify the congruent sides and angles

From the figure, we have \(JK = ML\) (marked with one tick), \(KM\) is a common side. Also, \(\angle JMK=\angle LKM\) (marked angles).

Step2: Apply the SAS (Side - Angle - Side) congruence criterion

In \(\triangle KJM\) and \(\triangle MLK\), we have:

• \(JK = ML\) (side)
• \(\angle JMK=\angle LKM\) (angle)
• \(KM = MK\) (common side, side)

Answer:

These triangles can be proven congruent by \(SAS\), \(\triangle KJM\cong\triangle MLK\)