1. Find AB

Definition of mid-segment of trapezoid:

A segment whose endpoints are the midpoints of the nonparallel sides (of the trapezoid).

If b is the measure of the upper base of the trapezoid and d is the measure of the lower base of the trapezoid, then the measure of the mid-segment of the trapezoid is

2. Find m<Q, and m<S.

The trapezoid has 2 (or 3 in this case) parallel lines. Remember that:

If two parallel lines are cut by a transversal, then:

- Alternate interior angles are congruent

- Corresponding angles are congruent

- Same side interior angles are supplementary