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


Asked by maham237 @ in Mathematics viewed by 314 People

Answered by maham237 @



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.

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