Answer:
D.Transitive property of equality
Step-by-step explanation:
We are given that segment JK is parallel to segment LM
We have to prove [tex]\angle 3=\angle 6[/tex]
We have to find which option correctly justifies the statement 4 of the two - column proof.
1.Statement : JK is parallel to segment LM
Reason: Given
2.[tex]\angle 7\cong \angle 6[/tex]
Reason: Vertical angles theorem
3.[tex]\angle 3\cong \angle 7[/tex]
Reason:Corresponding angles theorem
4.[tex]\angle 3\cong \angle 6[/tex]
Reason: Transitive property of equality.
If a=b and b=c then a=c
Hence, option D is true.
