Midsegment of a Triangle Worksheet
Explore the properties of midsegments in triangles with this Grade 6 geometry worksheet.
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Midsegment of a Triangle
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
A midsegment of a triangle is a segment connecting the midpoints of two sides of the triangle. The Midsegment Theorem states that the midsegment is parallel to the third side and is half the length of the third side.
1. In triangle ABC, if D is the midpoint of AB and E is the midpoint of AC, what can you say about segment DE?
2. If a midsegment of a triangle is 7 cm long, then the third side of the triangle (to which it is parallel) is cm long.
3. Which of the following statements about a midsegment is TRUE?
It is longer than the third side.
It is perpendicular to the third side.
It connects a vertex to the midpoint of the opposite side.
It is parallel to the third side and half its length.
4. Triangle XYZ has vertices X(1,1), Y(5,1), and Z(3,5). Find the midpoints of XY and YZ. Then, find the length of the midsegment connecting these two midpoints.
5. A triangle can have more than one midsegment.
True
False