Triangle Midsegment Theorem Worksheet
Explore the properties of the Triangle Midsegment Theorem with this Grade 8 geometry worksheet, featuring various question types including multiple choice, fill-in-the-blanks, and short answer.
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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 your work for short answer questions.
1. What does the Triangle Midsegment Theorem state about the length of a midsegment compared to the third side of the triangle?
It is equal to the third side.
It is half the length of the third side.
It is twice the length of the third side.
It is perpendicular to the third side.
2. In a triangle, a midsegment connects the midpoints of which two sides?
Any two sides.
Two non-adjacent sides.
Two adjacent sides.
The hypotenuse and a leg.
3. A midsegment is always to the third side of the triangle.
4. If the length of a midsegment is 7 cm, then the length of the third side of the triangle is cm.
5. Consider a triangle ABC. Let D be the midpoint of AB and E be the midpoint of AC. If DE is a midsegment, draw the triangle and label the midsegment. Explain the relationship between DE and BC.
6. In triangle XYZ, the midsegment parallel to side YZ has a length of 10 units. What is the length of side YZ? Justify your answer.
7. A triangle can have more than three midsegments.
True
False
8. The Triangle Midsegment Theorem applies only to equilateral triangles.
True
False