A conjecture and the two-column proof used to prove the conjecture are shown. Given: S is the midpoint of segment R T. Segment R T is congruent to segment X Y. Prove: segment R S is congruent to segment X Y. Segment X Y with endpoints X and Y. Line R S T is horizontal. Line R S T has two segments R S and S T with the same length. S is the midpoint and R and T are the extreme left and extreme right points respectively. Drag an expression or phrase to each box to complete the proof.

Accepted Solution

given: s is the midpoint of rtdefinition of midpoint: rs stgiven: st xytransitive property of congruence: rs xy