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The image shows quadrilateral ABCD. Please answer with a response to each question below, thank you.

 May 1, 2020
 #1
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Here's my best shot

 

A.  AB and CD  must be the same length and have the same slope

 

B. 

 

AB  = sqrt [ 3 - 0)^2  + (4-0)^2 ] =  sqrt ( 3^2 + 4^2)  = sqrt (25)  = 5

CD  = sqrt [ (4 - 7)^2 + (7-3)^2 ]  = sqrt [ (-3)^2 + 4^2]  = sqrt (25) = 5

Slope of AB  =  [ 4-0] / [0 - 3]  = -4/3

Slope of CD  = [7 - 3 ] / [4 - 7] = -4/3

 

C. We only need to show that AD and BC  = 5   (they are)

 

D.  If we can prove that  AD = BC  =5    and  AD is perpendicular to AB  and BC is perpendicular to CD.....we will have a square   [  these are true, as well ]

 

cool cool cool

 May 1, 2020

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