Trapezoid Midsegment Theorem Worksheet
Explore the Trapezoid Midsegment Theorem through various problems, including finding lengths and applying properties in different scenarios.
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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.
1. In your own words, state the Trapezoid Midsegment Theorem.
2. The midsegment of a trapezoid connects the midpoints of the sides.
3. The length of the midsegment of a trapezoid is equal to the sum of the lengths of the bases.
4. Consider a trapezoid with bases of length 10 cm and 16 cm. What is the length of its midsegment?
5. If the midsegment of a trapezoid is 22 meters long and one base is 18 meters long, what is the length of the other base?
6. Which of the following statements about the midsegment of a trapezoid is true?
It is parallel to the non-parallel sides.
Its length is the average of the lengths of the bases.
It is always shorter than both bases.
It divides the trapezoid into two congruent trapezoids.
7. The midsegment of a trapezoid is always parallel to its bases.
True
False