Question

The vertices of a quadrilateral on the coordinate plane are (2, 4), (-4, -2), (-2, 4), and (4, -2). What type of quadrilateral has these vertices?

A.
rectangle
B.
trapezoid
C.
square
D.
parallelogram

Answer 1

B. trapezoid

Step-by-step explanation: Correct on Plato

Answer 2

B. tra-pezoid

Explanation:

The point (2,4) and (-2,4) are on the same horizontal line.

This line has a zero slope

The distance between them is
`|2--2|=4`.

The point (-4,-2) and (4,-2) are on the same horizontal line.

This line also had a zero slope.

The distance between them is
`|4--4|=8`

The quadrilateral has just one pair of sides parallel.

The quadrilateral is a tra-pezoid

See attachment