Midsegment of a Trapezoid Worksheet
This worksheet focuses on understanding and applying the properties of the midsegment of a trapezoid, including its length and relationship to the bases.
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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.
1. What is the definition of a trapezoid's midsegment?
A segment connecting the midpoints of the non-parallel sides.
A segment connecting the midpoints of the parallel sides.
A segment connecting any two vertices of the trapezoid.
A diagonal of the trapezoid.
2. If the lengths of the bases of a trapezoid are 10 cm and 16 cm, what is the length of its midsegment?
13 cm
26 cm
6 cm
10 cm
3. The midsegment of a trapezoid is parallel to the of the trapezoid.
4. The length of the midsegment of a trapezoid is equal to of the sum of the lengths of the bases.
5. In trapezoid ABCD, AB is parallel to CD. E and F are midpoints of AD and BC respectively. If AB = 8 inches and CD = 14 inches, what is the length of EF? Show your work.
6. A trapezoid has a midsegment of length 20 cm. If one base is 15 cm long, what is the length of the other base?
7. The midsegment of a trapezoid is always shorter than both bases.
True
False
8. The midsegment of a trapezoid connects the midpoints of the parallel sides.
True
False
9. The vertices of a trapezoid are A(1, 2), B(7, 2), C(6, 6), and D(2, 6). Find the coordinates of the midpoints of the non-parallel sides and the length of the midsegment.