Question

Enter the missing reason in the following two-column proof for the following information. given: k is the midpoint of segment j l ; k l = 14 prove: j k = 14 statement reason k is the midpoint of j l ; k l = 14 given j k = k l ? j k = 14 substitution

Answer 1

The missing reason in the two-column proof is the 'Definition of a midpoint,' which states that the midpoint divides a segment into two equal parts, thus proving JK equals 14, like KL.

Step-by-step explanation:

The student is asked to provide the missing reason in a two-column proof where K is the midpoint of segment JL, and KL equals 14. The purpose is to prove that segment JK also equals 14.

To complete the proof, we use the definition of a midpoint. The definition of a midpoint states that the midpoint of a segment divides the segment into two equal parts. Therefore:

• Given: K is the midpoint of JL; KL = 14.
• Missing Reason: Definition of a midpoint.
• Therefore, JK = KL, which equals 14 by substitution.