Given: segment JK is parallel to segment QP, segment JK is congruent to segment PQ. Prove KQ bisects JP

Answer 1

since JK and QP are parallel, angles KJA and QPA are equal and JKA and PQA are equal. both angles at A are equal because two straight lines cross each other. all angles are equal. By ASA (angle side angle), the two triangles are congruent therefore JA = AP so KQ bisects JP