Midsegment of a Trapezoid Worksheet
This worksheet focuses on understanding and applying the midsegment theorem for trapezoids, including calculating lengths and solving for unknown variables.
Includes
Standards
Midsegment of a Trapezoid
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. The midsegment of a trapezoid connects the of the non-parallel sides.
2. The midsegment of a trapezoid is to the bases.
3. The length of the midsegment of a trapezoid is equal to of the sum of the lengths of the bases.
4. In trapezoid ABCD, AB is parallel to CD. If AB = 10 units and CD = 16 units, what is the length of the midsegment?
5. A trapezoid has bases measuring 7 cm and 13 cm. Calculate the length of its midsegment.
6. If the midsegment of a trapezoid is 12 inches long and one base is 8 inches long, what is the length of the other base?
4 inches
16 inches
10 inches
20 inches
7. The midsegment of a trapezoid is represented by the expression 3x - 2. The bases of the trapezoid are 2x + 1 and 4x - 5. Find the value of x and the length of the midsegment.
8. In trapezoid PQRS, M is the midpoint of PS and N is the midpoint of QR. If PQ = 5y + 7, SR = 3y + 3, and MN = 15, find the value of y.
9. The midsegment of a trapezoid is always longer than both bases.
True
False
10. If the bases of a trapezoid are equal in length, the midsegment will have the same length as the bases.
True
False
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