Midsegment of a Trapezoid Worksheet

This worksheet focuses on understanding and applying the midsegment theorem for trapezoids, including calculating lengths and solving for unknown variables.

Grade 9 Math GeometryMidsegment of a Trapezoid

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Includes

Fill in the Blanks2 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSG.GPE.B.4CCSS.MATH.CONTENT.HSG.SRT.B.5

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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. 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 of a trapezoid is equal to of the sum of the lengths of the bases.

4. In trapezoid ABCD, AB is parallel to CD. If AB = 10 units and CD = 16 units, what is the length of the midsegment?

5. A trapezoid has bases measuring 7 cm and 13 cm. Calculate the length of its midsegment.

6. If the midsegment of a trapezoid is 12 inches long and one base is 8 inches long, what is the length of the other base?

4 inches

16 inches

10 inches

20 inches

7. The midsegment of a trapezoid is represented by the expression 3x - 2. The bases of the trapezoid are 2x + 1 and 4x - 5. Find the value of x and the length of the midsegment.

8. In trapezoid PQRS, M is the midpoint of PS and N is the midpoint of QR. If PQ = 5y + 7, SR = 3y + 3, and MN = 15, find the value of y.

9. The midsegment of a trapezoid is always longer than both bases.

True

False

10. If the bases of a trapezoid are equal in length, the midsegment will have the same length as the bases.

True

False