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.
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_________
3 answers
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
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.
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.
21 answers