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Sign Patterns of the Quadrants

The location of a point in the rectangular coordinate system can be determined by examining the signs of the coordinates in its ordered pair (x,y)(x, y). The coordinate plane is divided into four regions, each characterized by a distinct pattern of signs: - Quadrant I: Both the xx-coordinate and the yy-coordinate are positive (+,+)(+, +). - Quadrant II: The xx-coordinate is negative and the yy-coordinate is positive (,+)(-, +). - Quadrant III: Both coordinates are negative (,)(-, -). - Quadrant IV: The xx-coordinate is positive and the yy-coordinate is negative (+,)(+, -). Recognizing these sign combinations allows one to quickly identify the general quadrant of a point without having to explicitly plot it.

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Updated 2026-04-24

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