Final answer:
The correct justification for statement 4, which asserts that angle 3 is congruent to angle 6, is the Transitive Property of Angle Congruence. This conclusion is reached by combining the facts from earlier statements that establish angle 7 is congruent to both angle 6 and angle 3.
Step-by-step explanation:
The question is asking for the correct justification for statement 4 in a two-column geometry proof. Statement 4 asserts that angle 3 is congruent to angle 6 (∠3≅∠6). Given that line JK is parallel to line LM, we have previously established in statement 2 that angle 7 is congruent to angle 6 (∠7≅∠6) based on the Alternate Interior Angles Theorem, which is applicable because the angles are formed by parallel lines and a transversal. In statement 3, we established that angle 3 is congruent to angle 7 (∠3≅∠7) through the Transitive Property of Angle Congruence, which tells us that if two angles are both congruent to a third angle, then they are congruent to each other. To justify statement 4, we combine the facts from statements 2 and 3 and apply the Transitive Property once more (∠3≅∠7 and ∠7≅∠6, therefore ∠3≅∠6). Therefore, the correct justification for statement 4 is the Transitive Property of Angle Congruence.