Question

Which of the following correctly justifies statement 4 of the two-column proof?

Answer 1

Answer:

Transitive Property of Equality

Step-by-step explanation:

Answer 2

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 $\angle 3=\angle 6$

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.$\angle 7\cong \angle 6$

Reason: Vertical angles theorem

3.$\angle 3\cong \angle 7$

Reason:Corresponding angles theorem

4.$\angle 3\cong \angle 6$

Reason: Transitive property of equality.

If a=b and b=c then a=c

Hence, option D is true.