Select the correct answer from each drop-down menu. Given: with medians and . Prove: meets the other two medians at O. In triangle XYZ, a line AZ is drawn perpendicular to XY and a line XB is drawn perpendicular to YZ. At O the lines AZ and XB intersect. H is a dashed line drawn from top vertex Y and extended outside of triangle. At C, the lines YH and XZ intersect. has medians and . Draw so that it intersects segment at C. Construct segments and such that H is on and and . Complete the following steps of a paragraph proof to prove that meets the other two medians at O. By the reflexive property of congruence, . by the corresponding angles theorem. Therefore, by AA similarity. Similar triangles have proportional sides, therefore, ; ; ; . O is the midpoint of by the definition of a midpoint. is the midsegment of and by the definition of midsegment. This establishes as a parallelogram. Using properties of a parallelogram, bisects . By the definition of a bisector, and C is the midpoint of . is a median and meets the other two medians at O.