Homework 5-2 Midsegment Theorem

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What is the Midsegment Theorem?

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

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How do you find the length of a midsegment in a triangle?

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To find the length of a midsegment, measure the lengths of the two sides it connects, and use the formula: Length of midsegment = rac{1}{2} (Length of side 1 + Length of side 2).

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What is the relationship between the midsegment and the triangle's area?

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The area of the triangle formed by the midsegment is one-fourth the area of the original triangle.

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What is the significance of midpoints in the Midsegment Theorem?

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Midpoints are crucial as the midsegment connects the midpoints of two sides of the triangle, ensuring the properties of parallelism and proportionality.

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How can you determine if a segment is a midsegment?

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A segment is a midsegment if it connects the midpoints of two sides of a triangle and is parallel to the third side.

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