Question

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.

E(–7, –1), F(2, –1), G(–4, –8), H(5, –8)

Answer 1

draw it
the top is at -1
the bottom is at - 8
so it is 7 somethings high (question written by mathematician and they do not do units)
the top runs from -7 to +2 so is 9 somethings long
the bottom runs from -4 to +5 so is also 9 somethings long
the top starts 3 somethings to the left of the bottom
clearly it is a parallelogram
area = height * base = 7 * 9 = 63 somethings^2

Answer 2

W = 2 - (-7) = 9.
L = 5 - (-4) = 9.
It is a square.
Area = 9 * 9 = 81 Square units.

Answer 3

left and right slope