Question

Provide a two-column proof: Given: Line segment PR is congruent to line segment LN
Q is the midpoint of line segment PR
M is the midpoint of line segment LN
Prove: PQ = LM

Answer 1

1) Line segment PR is congruent to line segment LN, Q is the midpoint of line segment PR, M is the midpoint of line segment LN (given)

2) PQ=PR, LM=LN (a midpoint splits a segment into two congruent parts)

3) PQ=LM (halves of congruent segments are congruent)