Question

(20 points to best answer) Complete the two-column the proof by writing the appropriate reason for each statement.

Answer 1

Please find the attached file.

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
`JL=KM`

By segment addition postulate
`JK+KL=JL` and
`KL+LM=KM`.

After substituting JK+KL and KL+LM in our equation
`JL=KM` we will get
`JK+KL=KL+LM`.

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
`JK=LM`.

Therefore, by definition of congruence line segment JK is congruent to Line segment LM.