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Using the distance formula, are coordinates (0,1) (2,4) (4,1) (2,-2) a parallelogram, a rectangle, a rhombus or a square?

 Mar 24, 2015

Best Answer 

 #2
avatar+130518 
+5

Look at the graph.....https://www.desmos.com/calculator/4f8tjxu5ie

Notice that distances between

(0,1) and (2, 4)

(0,1) and (2,-2)

(2, -2) and (4,1)

(4,1) and (2, 4)

Are all the same..... and opposite segments are parallel........but the segments do not meet at right angles....therefore, this is a rhombus

 

  

 Mar 24, 2015
 #1
avatar
+5

It is a rhombus

 Mar 24, 2015
 #2
avatar+130518 
+5
Best Answer

Look at the graph.....https://www.desmos.com/calculator/4f8tjxu5ie

Notice that distances between

(0,1) and (2, 4)

(0,1) and (2,-2)

(2, -2) and (4,1)

(4,1) and (2, 4)

Are all the same..... and opposite segments are parallel........but the segments do not meet at right angles....therefore, this is a rhombus

 

  

CPhill Mar 24, 2015

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