Given the coordinates of the vertices of a quadrilateral, determine whether it is a square, a rectangle, or a parallelogram. then find the area of the quadrilateral.
a(2, -3), b(7, -3), c(9, 2), d(4, 2)
a. parallelogram; 25 units2
b. rectangle; 20 units2
c. square; 10 units2
d. none of these

  a.  parallelogram; 25 units^2

Step-by-step explanation:

A plot of the points can be helpful. It lets us see that opposite sides are parallel (have the same slope), and that the base and height are both 5 units. The corners are not 90°, so the figure is not a square or rectangle.

The figure is a parallelogram, and its area is ...

  A = base×height = (5 units)(5 units) = 25 units²

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step-by-step explanation: