Quadrilaterals on the Coordinate Plane Worksheet
Example 1: Show mathematically if Quad JKLM is a parallelogram.
J(-1, 0), K(-3, 7), L(2, 6), M(4, -1)
Example 2: Identify (showing mathematically) what type of quadrilateral Quad EFGH is.
E(-4, -1), F(-1, 3), G(3. 0), H(0, -4)
Example 3: Now you try. Identify (showing mathematically) what type of quadrilateral
Quad WXYZ is.
W(0, 1), X(4, 2), Y(3, -2), Z(-1, -3)
1. Show mathematically that Quad ABCD is a parallelogram.
A(-3, 2), B(-2, 7), C(2, 4), D(1, -1)
2. Rachel graphs the parallelogram A(5, 4), B(5, 10), C(9, 8), D(9, 2). Find the coordinates of the
intersection of the diagonals.
3. Graph Quad FGHJ and determine what type of quadrilateral it is. Support your answer
mathematically.
F(-4, -2), G(-2, 2), H(4, 3), J(2, -1)
4. Graph Quad PQRS and determine what type of quadrilateral it is. Support your answer
mathematically.
P(-5, 2), Q(4, 5), R(6, -1), S(-3, -4)