Question

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)

Answer 1

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

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)

Answer 2

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

Explanation:

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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Comment on the attachment

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.