6 – 7 Proofs Using Coordinate Geometry

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Proofs Using Coordinate Geometry

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6 – 7 Proofs Using Coordinate Geometry L.E.Q. How do you prove theorems using figures in the coordinate plane?

Midsegment of a Trapezoid: The segment that joins the midpoints of the nonparallel opposite sides.

Trapezoid Midsegment Theorem: The midsegment of a trapezoid is parallel to the bases. The length of the midsegment of a trapezoid is half the sum of the lengths of the bases.

Planning a Coordinate Geometry Proof:

Real – World Connections: The rectangular flag below is constructed by connecting the midpoints of its sides. Use coordinate geometry to prove that the quadrilateral formed by connecting the midpoints of the sides of a rectangle is a rhombus.

Homework: Pg 333-334 #s 1-4 all.