The side RS of a quadrilateral PQRS is drawn on a grid as shown.

If quadrilateral PQRS is a square, which of these ordered pair could be a vertex?

Question

The side RS of a quadrilateral PQRS is drawn on a grid as shown. 
 

 
If quadrilateral PQRS is a square, which of these ordered pair could be a vertex?

anonymous · Answer

attachment

mertsj · Answer

Well, you didn't list any choices but here are the possibilities:  
(9,1) (1,4) (-1,0) (7,4)

anonymous · Answer

7, 4)
		(7, 5)
		(8, 4)
		(8, 5)

anonymous · Answer

so i guess it's 7,4. How did you find this out?

mertsj · Answer

I know that the sides of a square are perpendicular.  The slope of the given side is -2 so the slope of the perpendiculars must be 1/2.  Also the lengths of the sides must be equal.  So I applied the slope 1/2 to the given points twice in each direction to arrive at the possibilities.

anonymous · Answer

ok thxs

mertsj · Answer

yw