Section 5.1 Midsegment Theorem and Coordinate Proof.

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5.1 Midsegment Theorem & Coordinate Proof

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Presentation transcript:

Section 5.1 Midsegment Theorem and Coordinate Proof

Homework Pg 298 #3-11, 36 (prove 36)

Vocabulary Midsegment of a triangle – is a segment that connects the midpoints of two sides of a triangle. Coordinate Proof – placing geometric figures in a coordinate grid, then using variables to represent coordinates.

Theorem 5.1: Midsegment Theorem

Apply variable coordinates Place an isosceles right triangle in a coordinate plane. Then find the length of the hypotenuse and the coordinates of its midpoint M.

Prove the Midsegment Theorem GIVEN : DE is a midsegment of OBC. PROVE : DE OC and DE = OC 1 2 Write a coordinate proof of the Midsegment Theorem for one midsegment.