Question

A scale drawing of a storage box on a coordinate grid shows a square with the points (-4, 2) and (-1, 4) as the locations of two adjacent vertices.
Which pair of coordinate points could represent the other two vertices?

(1, 1) and (-2, -1)

(-6, 4) and (-3, 7)

(-6, 5) and (-3, 8)

(0, 1) and (-3, -1)

Answer 1

Let's find the distance between (-4,2) and (-1,4) sqrt((-1+4)^2+(4-2)^2) or sqrt(13)

Only

(1, 1) and (-2, -1)

and

(0, 1) and (-3, -1)

have the same distance between them.

Now we probably ought to graph them and look at the distances from the original. See attached image.

Does this work for you?