For trapezoid QRST, A and B are midpoints of the legs. Find AB, m<Q, and m<S.

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- Aug 11th 2008, 07:17 AMkerilynnTrapezoids
For trapezoid QRST, A and B are midpoints of the legs. Find AB, m<Q, and m<S.

attachment of picture uploaded!!!! - Aug 11th 2008, 07:32 AMChop Suey
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 - Aug 11th 2008, 12:57 PMmasters