The following set of coordinates represents which figure? (1,1) (1,4) (5,4) (5,1)

ANSWER

Rectangle

EXPLANATION

Let us label the vertices as follows



The length of AB can be determined using the absolute value method because the x-values are constant.


Also since the x-values are constant, it means it is a vertical line.

The length of BC can be determined using the absolute value method because the y-values are constant.



This is a horizontal line.

The length of CD can be determined using the absolute value method because the x-values are constant.


This is also a vertical line.

The length of AD can be determined using the absolute value method because the y-values are constant.


This is a horizontal line.

Since the opposite sides are parallel and equal, the figure is a parallelogram.