Question

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

Answer 1

Rectangle

Explanation:

Answer 2

ANSWER

Rectangle

EXPLANATION

Let us label the vertices as follows



`A(1,1),B(1,4),C(5,4),D(5,1)`

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


`|AB| = |4 - 1| = |3| = 3`
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.


`|BC|= |5 - 1| = |4| = 4`

This is a horizontal line.



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


`|CD| = |1 - 4| = | - 3| = 3`
This is also a vertical line.


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



`|AD| = |1 - 5| = | - 4| = 4`
This is a horizontal line.


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