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

(0, -2)

(1, 2)

(6, 6)

(7, 6)

Question

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

directrix · Answer

(6, 6)
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The slope from (6,6) to (1,7) is 5.
The slope from (6,6) to (5,1) is -1/5.
Consecutive sides of a square are perpendicular and because 5 * (-1/5) = -1, that pair of consecutive sides is perpendicular.