5-1 Midsegments of a Triangle

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Presentation transcript:

5-1 Midsegments of a Triangle L.E.Q. How do you use properties of midsegments to solve problems?

What is a Midsegment? A segment connecting the midpoints of 2 sides.

Theorem 5–1: Triangle Midsegment Theorem If a segment joins the midpoints of 2 sides of a triangle, then the segment is parallel to the third side and is half its length.

Finding Lengths In H, J, and K are midpoints. Find HJ, JK, and FG.

Identifying Parallel Segments In A, B, and C are midpoints. Name pairs of parallel segments.

Totd: The perimeter of a triangle is 78 ft. Find the perimeter of the triangle formed by its midsegments.

Homework Pgs. 246-247 #s 1-12, 22-26, 29-32.