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, Response area) and the coordinates of S are (Response area, c).

The slope of KL¯¯¯¯¯ is Response area.

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.