Question

Name 4 points that would form a square that has the origin (0, 0) exactly in the middle.

Answer 1

1. (1, 1) and (-1, 1) and (-1, -1) and (1, -1)

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

1. (3, 3) and (-3, 3) and (-3, -3) and (3, -3)

1. (4, 4) and (-4, 4) and (-4, -4) and (4, -4)

Explanation:

If we want to form a square with the origin (0, 0) at its center, we need to find four points that are equidistant from the origin and form right angles with each other. Here are four points that would form such a square:

1. (1, 1) and (-1, 1) and (-1, -1) and (1, -1)

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

1. (3, 3) and (-3, 3) and (-3, -3) and (3, -3)

1. (4, 4) and (-4, 4) and (-4, -4) and (4, -4)

In general, any set of four points that are equidistant from the origin and form right angles with each other can form a square with the origin at its center.