Provide the reasons for the following proof
Given: JK=KL=NK=KM
Prove: Triangle NKJ = MLK
Statements
1.JK=KL=NK=KM
2Triangle NKJ = MLK
3Triangle NKJ = MLK
Reasons
1 Given
2_________
3_________
2. Since all sides of triangle NKJ are equal to the corresponding sides of triangle MLK (JK = KL, NK = NK, and KJ = LK), the triangles are congruent by Side-Side-Side (SSS) Congruence.
3. By transitive property, if triangle NKJ is congruent to triangle MLK and triangle NKJ = MLK, then triangle MLK = NKJ.
Answer choices
Reflexive Property of ; SAS Reflexive Property of Image with alt text: congruent to ; SAS Reflexive Property of ; ASA Reflexive Property of Image with alt text: congruent to ; ASA Vertical angles are congruent; ASA Vertical angles are congruent; ASA Vertical angles are congruent; SAS
Based on the given information and the final conclusion to be proven (Triangle NKJ = MLK), the correct reasons would be:
2. SSS Congruence (Side-Side-Side) - This is because all sides of triangle NKJ (JK = KL, NK = NK, KJ = LK) are equal to the corresponding sides of triangle MLK, thus establishing congruence.
3. Transitive Property - This is used to infer that if triangle NKJ is congruent to triangle MLK (as stated in reason 2), then triangle MLK is also congruent to triangle NKJ.