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Square PQRS has vertices P (2, 6), Q (6, 5), R (5, 1). What are the coordinates of S?

 Apr 14, 2022
 #1
avatar+66 
-1

S=\(\boxed{1,2}\)

 

Just draw a graph using paper and you will find it

 Apr 14, 2022
edited by qjin27  Apr 14, 2022
 #2
avatar+579 
+2

Hello, I agree

 

Here is the graph for proof:

 

https://www.desmos.com/calculator/ucqpddhlpo

 Apr 14, 2022
 #3
avatar+128475 
+1

Here's a non-graphical solution

 

The slope between  P and Q =  ( 5-6) / ( 6 -2)  =   -1/4

 

And RS  will be parallel to this

 

So....using the slope between P and Q  and the coordinates of  point R....the coordinates of   S  =   [  5 - 4,  1 - (-1) ] =  (1, 2)

 

 

cool cool cool

 Apr 14, 2022

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