Question

Provide the reasons for the following proof.
The figure shows triangle J K N and triangle L K M formed by intersecting segments J M and N L at point K. Segment J K is marked with 2 hash marks. Segment K L is marked with 2 hash marks. Segment N K is marked with 1 hash mark. Segment K M is marked with 1 hash mark.

Given: segment J K is congruent to segment K L and segment N K is congruent to segment K M

Prove: triangle N K J is congruent to triangle M L K

Statements Reasons
1. segment J K is congruent to segment K L and segment N K is congruent to segment K M 1. Given.
2. angle J K N is congruent to angle L K M 2. ________________
3. triangle N K J is congruent to triangle M L K
3. ________________

(1 point)
Responses

Reflexive Property of congruent to; SAS
Reflexive Property of Image with alt text: congruent to ; SAS

Reflexive Property of congruent to; 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

2. Vertical angles are congruent; ASA