Question

The vertices of a quadrilateral are (–2, 3), (4, 3), (–1, –1), and (5, –1).

What type of quadrilateral is it?

A.
parallelogram

B.
rectangle

C.
trapezoid

D.
rhombus

Answer 1

@Mehek14

Answer 2

@wilsondanielle

Answer 3

There are two ways to solve this problem, by gazing at the numbers, and analyzing what you see, or, plot the points on a graph and see what it is visually.
The latter method is guaranteed to have results, so I woudn't bother.

If you gaze at the points, named as follows:

A(–2, 3), B(4, 3), C(–1, –1), and D(5, –1)
Examine the line AB.
Both of the y-coordinates are 3, so line segment AB is parallel to the x-axis.
When a line is parallel to the x-axis, the length is simply the difference of the x-coordinates, i.e. Xb-Xa=4-(-2)=6.
Now examine line CD and go along the same lines of thought above. See if you come to a conclusion. If not, go on the safety net, namely method 2 in the first paragraph.