Midsegment of a Trapezoid Worksheet

Grade 11 Geometry worksheet focusing on understanding and applying the trapezoid midsegment theorem.

Grade 11 Math GeometryMidsegment of a Trapezoid

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Includes

3 Short AnswerMultiple ChoiceFill in the BlanksTrue / FalseImage

Standards

CCSS.MATH.CONTENT.HSG.GPE.B.7

Topics

GeometryTrapezoidMidsegmentGrade 11Math

9 sections · Free to use · Printable

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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. Define the midsegment of a trapezoid and state the Trapezoid Midsegment Theorem.

2. In trapezoid ABCD, AB is parallel to DC. If E and F are the midpoints of AD and BC respectively, which statement is true?

EF = AB + DC

EF = (AB + DC) / 2

EF = AB - DC

EF = 2(AB + DC)

3. Consider trapezoid PQRS with bases PQ and RS. If PQ = 10 cm and RS = 24 cm, find the length of the midsegment MN.

4. If the midsegment of a trapezoid measures 18 inches and one base measures 12 inches, the other base must measure inches.

5. The midsegment of a trapezoid is always to the bases.

6. The midsegment of a trapezoid connects the midpoints of the non-parallel sides.

True

False

7. In trapezoid JKLM, with JK || LM, the midsegment is NO. If JK = 3x - 2, LM = 5x + 8, and NO = 4x + 1, find the value of x and the length of each base and the midsegment.

8. Examine the trapezoid below. If the length of the midsegment is 25 units and one base is 10 units longer than the other, find the lengths of both bases.