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Answer :
Final answer:
Since K and L are midpoints, JK is congruent to KL and KL is congruent to LM. By transitivity, JK is congruent to LM.
Explanation:
Proof:
Given: K is the midpoint of segment JL. L is the midpoint of segment KM.
To prove: Segment JK is congruent to segment LM.
- By definition of a midpoint, it divides a line segment into two equal segments. So, segment JK is congruent to segment KL, and segment KL is congruent to segment LM.
- By transitivity, if segment JK is congruent to segment KL and segment KL is congruent to segment LM, then segment JK is congruent to segment LM.
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