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Section 6.7: Proof Using Coordinate Geometry Name_________________________ Trapezoid Midsegment Theorem: 1.) The midsegment of a trapezoid is ________________ to the bases. 2.) The length of the midsegment of a trapezoid is half the sum of the lengths of the bases. Guided proof of the Trapezoid Midsegment Theorem: Example 1: Example 2: Given: The figure is a rectangle. Prove: Diagonals are congruent. Example 3: Given: The figure is a triangle. Prove: A midsegment is parallel to the third side. Example 4: Given: RHCP is a rhombus. a.) Determine the coordinates of R. Determine the coordinates of H. R( , ) H( , ) b.) Using the points you found in part a, find the midpoint of RH . c.) Using the points you found in part a, find the slope of RH . d.) What is one way you could prove to me this is a rhombus? Please demonstrate that method below.