Triangle Midsegment Theorem Worksheet

Explore the properties of triangle midsegments and apply the Triangle Midsegment Theorem to solve problems.

Grade 7 Math GeometryTriangle Midsegment Theorem

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Text2 CustomMultiple ChoiceFill in the BlanksShort AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSG.CO.C.10

Topics

geometrytrianglesmidsegment theoremgrade 7

9 sections · Free to use · Printable

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Triangle Midsegment Theorem

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Read each question carefully and answer to the best of your ability. Show all work where necessary.

The Triangle Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half the length of the third side.

1. In triangle ABC, D is the midpoint of AB and E is the midpoint of AC. If BC = 10 cm, what is the length of DE?

Answer:

2. If a midsegment of a triangle has a length of 7 inches, what is the length of the parallel third side?

3.5 inches

7 inches

14 inches

21 inches

3. The segment connecting the midpoints of two sides of a triangle is to the third side and is the length of the third side.

4. In triangle XYZ, M is the midpoint of XY and N is the midpoint of XZ. If MN = 8 cm, what is the length of YZ?

Answer:

5. Explain in your own words the relationship between a midsegment of a triangle and the third side.

6. A midsegment of a triangle is always longer than the third side.

True

False