Midsegment of a Triangle Worksheet
Explore the properties and theorems related to the midsegment of a triangle with this Grade 10 Geometry worksheet.
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Midsegment of a Triangle Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. A midsegment of a triangle connects the midpoints of two sides of the triangle.
True
False
2. The midsegment of a triangle is always three times the length of the third side.
True
False
3. In triangle ABC, if D and E are midpoints of AB and AC respectively, what is the relationship between DE and BC?
DE = BC
DE = 2BC
BC = 2DE
DE = BC + 2
4. The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is to the third side and is half the length of the side.
5. In triangle PQR, M is the midpoint of PQ and N is the midpoint of PR. If MN = 7.5 cm, what is the length of QR? Explain your reasoning.
6. Triangle XYZ has vertices X(1, 2), Y(7, 2), and Z(4, 8). Find the coordinates of the midpoints of XY and XZ. Then, find the length of the midsegment connecting these two midpoints.