noun
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mathematicsone of four regions in a two-dimensional Cartesian coordinate system formed by dividing the coordinate plane by the x-axis and y-axis."The point (3, 4) is located in the first quadrant."
A quadrant is one of four regions in the Cartesian coordinate system formed by dividing the coordinate plane by the -axis and -axis. The four quadrants are numbered using Roman numerals (first quadrant), (second quadrant), (third quadrant), and (fourth quadrant), starting from the top-right region and proceeding counter-clockwise.
- Quadrant I: Both and coordinates are positive (top-right)
- Quadrant II: is negative, is positive (top-left)
- Quadrant III: Both and coordinates are negative (bottom-left)
- Quadrant IV: is positive, is negative (bottom-right)
For example, the point is in the first quadrant because both the and coordinates are positive. Points that lie on the axes themselves are not considered to be in any quadrant.
A point in geometry is a specific location in space, represented by coordinates in a given coordinate system. It has no dimensions, only position. In a two-dimensional space, a point is represented by an ordered pair of numbers (x, y).