Aim: How can we solve coordinate quadrilateral proofs

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Presentation transcript:

Aim: How can we solve coordinate quadrilateral proofs Aim: How can we solve coordinate quadrilateral proofs? Do Now: Give the formula for each Distance - Midpoint - Slope -

Proving Quadrilaterals To Prove A Quadrilateral a: Parallelogram: prove diagonals bisect each other Rectangle: prove diagonals bisect each other then prove diagonals congruent Rhombus: prove diagonals bisect each other then prove two adjacent sides congruent Square: prove diagonals bisect each other, then prove two adjacent sides congruent, then prove two adjacent sides perpendicular Trapezoid: prove one pair of opposite sides parallel then prove on pair of opposite sides NOT parallel Isosceles Trapezoid: prove one pair of opposite sides parallel and one pair of opposite sides NOT parallel AND congruent

1. Given WXYZ with vertices W(5,0) and X (8, −4) , Y(12, −1) and Z(9,3) . Is WXYZ a rhombus?

2. The vertices of quadrilateral ABCD are A(1,6) , B(7,9) , C(13,6) and D(3,1) . Prove that quadrilateral ABCD is a trapezoid.

3. The coordinates of quadrilateral JKLM are J (1, −2), K(13, 4) , L(6,8) and M(−2,4) . Prove that quadrilateral JKLM is a trapezoid, but not an isosceles trapezoid.

4. The coordinates of quadrilateral ABCD are A(−1, −5) , B(8,2) , C(11,13) and D(2,6) . Using coordinate geometry, prove that quadrilateral ABCD is a rhombus.

Thank You