Question

The vertices of a figure are labeled clockwise A(–4, 2), B(2, 4), C(7, 1), and D(–5, –3). How could you show that the figure is a trapezoid?

Answer 1

hmmm did you plot the points already?

Answer 2

does the shape look like a trapezoid?

Answer 3

Yes it does

Answer 4

well it looks like so recall that a trapezoid has 2 parallel sides, the so-called "bases"

Answer 5

and that can only happen if AB and CD have the same slope

so check the slopes of AB and CD, if they're the same, then AB and CD are parallel
AB || CD

and thus the shape is a trapezoid