Question

The kitchen in Tina’s house is a square. The points P(6, -1) and Q(0, 3) represent the opposite vertices of her kitchen in a drawing on a coordinate grid. Which of these ordered pairs could be a third vertex?

(1, -2)

(1, -1)

(5, 5)

(3, 6)

Answer 1

taking the literal translation to the question, and that this is a square and not a rectangle
all sides must be equal

Answer 2

this problem is odd... is d supposed to be 6,3 rather than 3,6?

Answer 3

No, that's the exact problem :/

Answer 4

if it is actually a square and not a rectangle, you can create a triangle with the two points given, the y axis and the line y=-1
you have a side of 4 and 6...

Answer 5

using the pythagreon theorem you have a hypotenuse of square root 45

Answer 6

im sorry, square root 52

Answer 7

actually, im thinking about this wrong.... do you have the points plotted?

Answer 8

if you move down from the point 0,3, down the y axis, to the same y value as the other point, you have moved down 4 spots, right?
well, thats have your axis that the square is placed on, move down 4 more points to get to the other end of your square

Answer 9

do the same thing with your other point (6,-1), move to the left 6, thats your halfway point
then move left the other six

Answer 10

you have the other two points... (-6,-1) and (0,5)

Answer 11

neither is an option... wtf, let me look at it a second

Answer 12

having points at (-6,-1)(0,5) as well as your given points creates a square of equal sides (square root 52)... this problem is not offering you the correct answer.
If i had to guess, i would say answer d was supposed to say (6,3) rather than (3,6)
that would be a correct answer... (ignoring the fact there is a difference between a square and a rectangle)

Answer 13

you basically have, with these points, four triangles... each with sides 4 and 6, therefore all with the same hypotenuse
These hypotenuse's each create one side of the square.