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?
Answer

(7, 4)

(7, 5)

(8, 4)

(8, 5)

Answer 1

@directrix do you know how to slove this kind of problem ?

Answer 2

The slope of segment SR is -2.
m = (2-(-2)) / (3 -5) = 4/(-2) = -2.
So, the slope of a perpendicular segment must be 1/2 given the theorem that the slopes of perpendicular lines multiply to -1.
Starting with the option (7, 4) and finding the slope of segment PS,
slope of PS is( 4 - 2)/(7-3) = 2/4 = 1/2.
The point for the vertex could be (7,4)---> Answer

Answer 3

thank you(: