Question

developing proof state which postulate or theorem you can use to prove that the triangles are congruent. then explain how proving that the triangles are congruent proves the given statement. 10. prove kl = nl

Explanation:

Step1: Identify Congruent Triangles

We can use the AAS (Angle - Angle - Side) theorem. From the figure, we have two pairs of vertical angles (which are equal) and one pair of sides (marked as equal).

Step2: Use Congruent Triangles Property

If \(\triangle KJL\cong\triangle MNL\) (by AAS), then their corresponding parts are equal. Since \(KL\) and \(NL\) are corresponding sides of congruent triangles \(\triangle KJL\) and \(\triangle MNL\).

Answer:

Use the AAS (Angle - Angle - Side) theorem. When \(\triangle KJL\cong\triangle MNL\) (by AAS), \(KL = NL\) because corresponding parts of congruent triangles are equal.