High School

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20 points!!!!

Given statements:
Line JK ≅ LM
Angle JKM ≅ Angle LMK

Prove the congruency of this triangle step by step ​

20 points Given statements Line JK LMAngle JKM Angle LMK Prove the congruency of this triangle step by step

Answer :

The given statements suggest that line segment JK is congruent to line segment LM (Line JK ≅ LM) and that angle JKM is congruent to angle LMK (Angle JKM ≅ Angle LMK).

We can use this information to prove that triangle JKM is congruent to triangle LMK.

How do we prove the congruency of the triangles?

We can use the Side-Angle-Side (SAS) congruence criterion to prove the congruency of triangles:

Given:

Side JK ≅ Side LM

Angle JKM ≅ Angle LMK

The first side of the SAS criterion - The given information states that line segment JK is congruent to line segment LM.

The angle between the sides, and is congruent according to the given information.

Side KM (Common Side):

The common side between the two triangles is KM.

By the SAS congruence criterion, since we have two sides and the included angle is congruent, triangles JKM and LMK are congruent.

Therefore, △JKM ≅ △LMK.

Learn more about the congruency of triangles at brainly.com/question/29789999

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