Given that the points (-3, 2) and (1, 2) are vertices of a square, what two sets of coordinates could form the other two vertices? a) (-3, 6) and (2, 6) b) (-3, 6) and (1, 6) c) (-3, 5) and (1, 5) d) (-3, 5) and (-1, 5)

B) (-3, 6) and (1, 6)

The given points are 4 units apart in the x-direction. An appropriate choice is the set of points that are 4 units from them in the y-direction (and have the same x-coordinates).

2+4 = 6, so the y-coordinate will be 6.

The appropriate choice is (-3, 6) and (1, 6).

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The given points and those of answer choice B are plotted (A, B, C, D) and the side lengths of the square are shown. Also, the points from the other answer choices are plotted.

B)(-3, 6) and (1, 6)

Step-by-step explanation:

Lets find the distance between the points (-3, 2) and (1, 2).

Since the y coordinates are the same , we only have to find the distance between the x coordinates.

-3 -1 = -4

Distance is  positive so the distance is 4.

The shape we are making is a square

So we need to either go up 4 units or down 4 units

2+4 = 6

2-4 = -2

Since -2 is not listed,  we will go with 6

The x coordinates will remain the same

(-3,6)  (1,6)

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