Midsegment of a Triangle Worksheet
Explore the properties of midsegments in triangles, including their relationship to the third side and perimeter, for Grade 7 geometry.
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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 of two sides of the triangle.
2. The midsegment is to the third side of the triangle.
3. The length of the midsegment is the length of the third side.
4. In triangle ABC, if DE is a midsegment parallel to BC, and BC = 18 cm, what is the length of DE?
5. Draw a triangle XYZ and label the midpoints of XY and XZ as M and N, respectively. Draw the midsegment MN. What can you say about the relationship between MN and YZ?
6. If a triangle has a perimeter of 30 units, and a midsegment is drawn, what is the perimeter of the smaller triangle formed by the midsegment and two sides of the original triangle?
10 units
15 units
20 units
25 units
7. In the triangle below, D and E are midpoints of AB and AC respectively. If DE = 7 cm, what is the length of BC?
BC =
8. A triangle can have more than one midsegment.
True
False
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