Midsegment of a Trapezoid Worksheet
This worksheet focuses on understanding and applying the midsegment theorem for trapezoids, including calculations and properties.
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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.
Understanding the Midsegment Theorem
The midsegment of a trapezoid is the segment connecting the midpoints of the non-parallel sides. Its length is half the sum of the lengths of the two parallel bases.
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 is equal to the sum of the lengths of the bases.
1. In trapezoid ABCD, AB is parallel to CD. E and F are the midpoints of AD and BC respectively. If AB = 10 cm and CD = 16 cm, what is the length of the midsegment EF?
2. The midsegment of a trapezoid measures 12 inches. If one of the bases is 8 inches long, what is the length of the other base?
3. Trapezoid PQRS has midsegment MN. If MN = 3x - 2, PQ = 2x + 1, and RS = 4x - 5, find the value of x and the length of each base and the midsegment.
1. Which statement about the midsegment of a trapezoid is FALSE?
It connects the midpoints of the non-parallel sides.
Its length is the average of the lengths of the bases.
It is perpendicular to the bases.
It is parallel to the bases.
2. If the midsegment of a trapezoid is 20 cm and one base is 15 cm, what is the length of the other base?
5 cm
17.5 cm
25 cm
35 cm
1. Explain how the midsegment theorem for trapezoids is related to the midsegment theorem for triangles.