Question

Draw two segments that have the same midpoint. Mark your drawing to show congruent segments

Answer 1

1st pair of points can have the same y value....

e.g. A(1, 5) and B(9, 5) this is a horizontal line with a midpoint M(5, 5)

each segment AM and MB has a length of 4 units.

now create a vertical line that have x values for each point P(5, r) and Q(5, s)
this way the lines AB and PQ will intersect at M...

You just need to find r and s so that the points P and Q are 4 units from M