TRIANGLE MIDSEGMENT THEOREM

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What is the Triangle Midsegment Theorem?

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

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CCSS.HSG.SRT.B.4

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21 meters

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CCSS.HSG.SRT.B.4

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10 cm

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CCSS.HSG.CO.C.11

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CCSS.HSG.SRT.B.4

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They are parallel.

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CCSS.HSG.CO.A.1

CCSS.4.G.A.1

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5

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What does it mean for two line segments to be parallel?

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Two line segments are parallel if they are always the same distance apart and never meet.

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CCSS.HSG.CO.A.1

CCSS.4.G.A.1

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What is the significance of midpoints in triangles?

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Midpoints are significant because they help in determining the lengths of midsegments and establishing relationships between triangle sides.

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CCSS.HSG.CO.C.10

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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, take half the length of the side of the triangle that it is parallel to.

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CCSS.HSG.SRT.B.4

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What is the relationship between the lengths of the sides of a triangle and its midsegments?

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The length of a midsegment is always half the length of the side it is parallel to.

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CCSS.HSG.SRT.B.4