1. 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 -

2. 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

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

5. 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.

7. 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.

9. 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.

11. Thank You