A coordinates plotter for the four quadrants: plot up to 10 ordered pairs, see which quadrant or axis each point lands on, and reflect them across the x-axis, the y-axis, or both with step-by-step working.
The Coordinate Plane Quadrant Plotter is a coordinates plotter built for the 6.NS grade band. Type or drag up to 10 ordered pairs onto a -10 to 10 plane and each point is classified instantly: Quadrant I, II, III or IV, or on the x-axis, on the y-axis, or at the origin.
Choose a reflection across the x-axis, the y-axis, or both and every point gets a ringed image joined to its original by a dashed connector, together with the distance between them and step-by-step working that explains the sign flips.
Quadrant I is the upper-right region where both coordinates are positive, and the numbering continues counterclockwise: Quadrant II is (-, +), Quadrant III is (-, -), and Quadrant IV is (+, -).
None. A point with a zero coordinate lies on an axis rather than inside a quadrant: (7, 0) is on the x-axis, (0, -5) is on the y-axis, and (0, 0) is the origin itself.
Reflecting across the x-axis negates the y-coordinate, so (3, 4) becomes (3, -4). Reflecting across the y-axis negates the x-coordinate. Reflecting across both negates both coordinates, which is the same as a 180 degree rotation about the origin.
The distance from the x-axis is the absolute value of the y-coordinate, and the distance from the y-axis is the absolute value of the x-coordinate. A point and its reflection are therefore twice that distance apart.
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