Show these point form a square

Mar 2019
196
1
TTF area
Show ACDE is a square

C=10,2

A=4,2

E=8,-8

D=14,-4
 
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mathman

Forum Staff
May 2007
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775
They don't. Side lengths are different.
 

SDK

Sep 2016
804
545
USA
Should be $A = (4,-2)$. Also, what have you tried?
 
Mar 2019
196
1
TTF area
Should be $A = (4,-2)$. Also, what have you tried?
Yes you're correct. I know it's a square. I have found all side lengths to be approximately 7.21 units or √52 and the diagonal from AD and CE are √104 or approximately 10.19 units and they are all at right angles to each other. What are some mathematical statements I can use?
 
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skipjack

Forum Staff
Dec 2006
21,482
2,472
The easiest approach is to show that the diagonals are mutually perpendicular and have a common mid-point. This suffices to establish that ACDE is a square and doesn't require use of Pythagoras.
 

mathman

Forum Staff
May 2007
6,933
775
If all angles are right angles and side lengths the same, it is a square.