Question

The vertices of the trapezoid are the origin, A(4m, 4n), B(4q, 4n), and C(4p, 0). Find the midpoint of the midsegment of the trapezoid.

Answer 1

Midpoint Formula:
The midpoint of a segment with endpoints (x1, y1) and (x2, y2) is
( (x1 + x2)/2, (y1 + y2)/2 )

The midsegment of a trapezoid is the segment that has the midpoints of the legs as its endpoints.

AB and OC are parallel, so the legs are OA and BC.

You need to use the midpoint formula three times.
Find the midpoint of leg OA and call it point F
Find the midpoint of BC and call it point G
Then find the midpoint of segment FG