Trapezoid Midsegment Theorem Worksheet
A worksheet for 8th-grade students covering the Trapezoid Midsegment Theorem, including finding missing lengths and applying the theorem in problem-solving.
Includes
Standards
Topics
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.
1. In your own words, state the Trapezoid Midsegment Theorem.
2. If the lengths of the bases of a trapezoid are 10 cm and 16 cm, the length of the midsegment is cm.
3. A trapezoid has a midsegment of length 22 inches. If one base is 18 inches, the other base must be inches.
4. Which of the following statements is true about the midsegment of a trapezoid?
It is parallel to the legs.
Its length is the average of the lengths of the bases.
It connects the midpoints of the bases.
It is longer than both bases.
5. In trapezoid ABCD, AB is parallel to DC. E and F are the midpoints of AD and BC respectively. If AB = 8 and DC = 14, find the length of EF.
6. A trapezoid has a midsegment of length (3x - 2) and bases of length (x + 5) and (5x - 3). Find the value of x and the length of the midsegment.
7. The midsegment of a trapezoid is always perpendicular to its bases.
True
False
8. The midsegment of a trapezoid connects the midpoints of the non-parallel sides.
True
False