97.6k views
2 votes
Write a proof, that AJKN ALMN (15 points)
K
N
M
I

Write a proof, that AJKN ALMN (15 points) K N M I-example-1
User Fkl
by
6.8k points

1 Answer

5 votes
We are given that sides JN and NL are congruent, and sides KN and MN are congruent. Angles 1 and 2 are vertical angles by definition. Therefore, they are congruent via the Vertical Angles Theorem. Since we now have a pair of corresponding, congruent sides, a pair of corresponding, congruent angles, and another pair of corresponding, congruent sides, we can apply the Side-Angle-Side Postulate. By SAS, triangles JKN and LMN are congruent.
User Xiujun Ma
by
6.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.