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A square of side 4 has its center at the origin and sides parallel to the axes. Find the coordinates of its vertices.
Solution:
If the center of a square is located at the origin, then the diagonals will be bisected into equal parts. Also, if the center of a square is located at the origin, then the axes will bisect the sides of a square into equal parts. To illustrate the problem, it is better to draw the figure as follows
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| Photo by Math Principles in Everyday Life |
Therefore, the coordinates of the vertices are
V1 (2, 2), V2 (2, -2), V3 (-2, -2) and V4 (-2, 2).