The kitchen in Meghan’s house is a square. The points P(6, 2) and Q(0, 6) represent the opposite vertices of her kitchen in a drawing on a coordinate grid. Which of these ordered pairs could be a third vertex?
(0, 1)

(1, 7)

(5, 6)

(5, 7)

Question

The kitchen in Meghan’s house is a square. The points P(6, 2) and Q(0, 6) represent the opposite vertices of her kitchen in a drawing on a coordinate grid. Which of these ordered pairs could be a third vertex?
(0, 1)
		
(1, 7)
		
(5, 6)
		
(5, 7)

rogue · Answer

Its a bit tricky, but you have to show that the distance between the coordinate and P = the distance between the coordinate and Q. After using some distance formula's, you'll get that the answer is D.

rogue · Answer

The drawing is terrible, but it should be something like this if you graph it. |dw:1331781976358:dw|