Is the following shape a rectangle? how do you know?

The answer is (D). No, the adjacent sides are not perpendicular.

Step-by-step explanation: We are given a shape on the co-ordinate plane and we are to check the correct statement about the shape from the given options.

The shape has four vertices A(4, -1), B(2, 4), C(-2, 2) and D(0, -3). So, the shape is definitely a quadrilateral. We are to check whether it is a rectangle or not.

We will find the slope of all the sides AB(m), BC(n), CD(o) and DA(p) as follows:

Since,

so the opposite sides are parallel, but

so the adjacent sides are not perpendicular.

Thus, (D) is the correct option.

y=mx+b

step-by-step explanation:

m is slope, b is y-intercept

you can't solve x because it is 2 linear equation and you only have one equation