Trapezoid Midsegment Theorem Worksheet
Explore the Trapezoid Midsegment Theorem with this worksheet for 6th graders, featuring problems on finding midsegment length and applying the theorem.
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Trapezoid Midsegment Theorem
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
The midsegment of a trapezoid is the segment connecting the midpoints of the non-parallel sides. The length of the midsegment is half the sum of the lengths of the two parallel bases.
Formula: Midsegment = (Base 1 + Base 2) / 2
1. Find the length of the midsegment of the trapezoid below. The top base is 6 cm and the bottom base is 10 cm.
Show your work:
Midsegment length:
2. If the bases of a trapezoid are 8 inches and 12 inches, the length of its midsegment is inches.
3. A trapezoid has a midsegment of 15 cm. If one base is 10 cm, the other base is cm.
4. Which of the following is true about the midsegment of a trapezoid?
It is parallel to the non-parallel sides.
It is perpendicular to the bases.
Its length is the average of the lengths of the bases.
It is longer than both bases.
5. The midsegment of a trapezoid connects the midpoints of its parallel sides.
True
False
6. A trapezoid has a midsegment of 18 meters. If one base is twice the length of the other base, what are the lengths of the two bases?