Question

2 finish the triangle proof by dragging the correct reasons to their box. there will be two extra unused reasons! given: ( jkcong lm ), ( klcong mj ) prove: ( angle jlmcongangle ljk )

Explanation:

Step1: Fill in the first three statements

1. \(JK\cong LM\) (Given)
2. \(KL\cong MJ\) (Given)
3. \(JL = JL\) (Reflexive Property)

Step2: Prove triangle congruence

1. \(\triangle JKL\cong\triangle LMJ\) (SSS, since \(JK\cong LM\), \(KL\cong MJ\), \(JL = JL\))

Step3: Use CPCTC

1. \(\angle JLM\cong\angle LJK\) (CPCTC, Corresponding Parts of Congruent Triangles are Congruent)

Answer:

1. \(JK\cong LM\), Given
2. \(KL\cong MJ\), Given
3. \(JL = JL\), Reflexive Property
4. \(\triangle JKL\cong\triangle LMJ\), SSS
5. \(\angle JLM\cong\angle LJK\), CPCTC