Hiep is writing a coordinate proof to show that the midsegment of a trapezoid is parallel to its bases. he starts by assigning coordinates as given, where rs¯¯¯¯¯ is the midsegment of trapezoid klmn . trapezoid k l m n on the coordinate plane. the vertices of the trapezoid are k begin ordered pair 0 comma 0 end ordered pair, l begin ordered pair 2a comma 0 end ordered pair, m begin ordered pair 2d comma 2c end ordered pair, and n begin ordered pair 2b comma 2c end ordered pair. segment r s is drawn with point r on segment k n and point s on segment l m. drag and drop the correct answers to complete the proof. since rs¯¯¯¯¯ is the midsegment of trapezoid klmn , the coordinates of r are (b,) and the coordinates of s are (, c). the slope of kl¯¯¯¯¯ is . the slope of rs¯¯¯¯¯ is 0. the slope of nm¯¯¯¯¯¯¯ is 0. the slope of each segment is 0; therefore, the midsegment is parallel to the bases.