Answer:
Please find the attached file.
Step-by-step explanation:
We have been provided a diagram and asked to complete two-column proof.
We are given that line segment JL is congruent to line segment KM. By definition of congruence [tex]JL=KM[/tex]
By segment addition postulate [tex]JK+KL=JL[/tex] and [tex]KL+LM=KM[/tex].
After substituting JK+KL and KL+LM in our equation [tex]JL=KM[/tex] we will get [tex]JK+KL=KL+LM[/tex].
Subtraction property of equality states that we can subtract same number from both sides of an equation. Subtracting KL from both sides of equation we will get [tex]JK=LM[/tex].
Therefore, by definition of congruence line segment JK is congruent to Line segment LM.
