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Math Help - Trapezoids

  1. #1
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    Trapezoids

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



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  2. #2
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    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 \frac{b+d}{2}

    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
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  3. #3
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    Quote Originally Posted by kerilynn View Post
    For trapezoid QRST, A and B are midpoints of the legs. Find AB, m<Q, and m<S.



    attachment of picture uploaded!!!!
    Is trapezoid QRST an isosceles trapezoid? Otherwise, there's not enough information to determine the measure of angle S.
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