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Coordinate Rule

Coordinate Rule

One-page printable reference

See It in Action

Two examples of the idea done right—and one common look-alike that is not right.

EXAMPLE

EXAMPLE

NON-EXAMPLE

Definition

A coordinate rule is a set of instructions that describes how to transform points on the coordinate plane.

Key Points:

  • It shows how to move each point (x, y) to a new location (x', y').

  • The rule is often written as an ordered pair transformation, like:

    • Translation: (x, y) (x + a, y + b)

    • Reflection: (x, y) (-x, y), etc.

    • Rotation: (x, y) (-y, x), etc.

Example:

A translation rule (x, y) (x + 2, y - 3) means move every point 2 units right and 3 units down.


Triangle ABC and its image after a translation in the coordinate plane. Point A is at (2,4), point B is at (2,6), and point C is at (4,4). Point A prime is at (4,1), point B prime is at (4,3), and point C prime is at (6,1).

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Learn the whole picture

This term is one piece. Our courses build it into everything around it—short videos, practice, and the “why” behind every concept.

Algebra 1

Lines, slope, functions & more

Geometry

Shapes, proofs & spatial reasoning

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