1Cademy - Sign Patterns of the Quadrants

Learn Before

Ordered Pair

Concept

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 $(x, y)$ . The coordinate plane is divided into four regions, each characterized by a distinct pattern of signs: - Quadrant I: Both the $x$ -coordinate and the $y$ -coordinate are positive $(+, +)$ . - Quadrant II: The $x$ -coordinate is negative and the $y$ -coordinate is positive $(-, +)$ . - Quadrant III: Both coordinates are negative $(-, -)$ . - Quadrant IV: The $x$ -coordinate is positive and the $y$ -coordinate is negative $(+, -)$ . Recognizing these sign combinations allows one to quickly identify the general quadrant of a point without having to explicitly plot it.