Question

Given: jk || nm and l is the midpoint of jm and nk. prove: jkl = mnl

Answer 1

To prove that jkl = mnl, we need to show that triangle JKL and triangle MNL are congruent.

Step-by-step explanation:

To prove that jkl = mnl, we need to show that triangle JKL and triangle MNL are congruent.

Given that JK is parallel to NM, we can use the properties of parallel lines to show that JL = LN and KL = MN.

Since L is the midpoint of JM and NK, we also know that JL = LM and KL = KN. Therefore, by the Side-Angle-Side (SAS) congruence criterion, triangles JKL and MNL are congruent, and we can conclude that jkl = mnl.