Question

Given segment KM perpendicular to segment JL and segment JK is perpendicular to segment KL, prove that triangle JKL is similar to triangle JMK

Answer 1

Given: Given segment KM perpendicular to segment JL; segment JK is perpendicular to segment KL

Prove: triangle JKL ~ triangle JMK

Statements

1.segment KM perpendicular to segment JL;
segment JK is perpendicular to segment KL

2. <KMJ and <JKL are right angles.

3. <KMJ is congruent to <JKL

4. < J is congruent to <J

5. triangle JKL ~ triangle JMK

@Gulivr I'm leaving the reasons for you provide.

Answer 2

Alright my reasons are

1. Given

2. Definition of Perpendicular Lines

3. All right angles are congruent

4. Reflexive Property

5. AA Postulate

Could you verify that my reasons are correct, thank you for helping me, I am very appreciate for your help.

Answer 3

@Gulivr Your reasons are correct. Good work.