Geometric Transformations and Coordinate Rules

Vocabulary flashcards covering the coordinate algebraic rules for reflections, rotations, and translations.

Reflection about the $x$-axis

A transformation in which the coordinate $(x, y)$ becomes $(x, -y)$.

Reflection about the $y$-axis

A transformation in which the coordinate $(x, y)$ becomes $(-x, y)$.

Reflection about $y = x$

A transformation in which the coordinate $(x, y)$ becomes $(y, x)$.

Reflection about $y = -x$

A transformation in which the coordinate $(x, y)$ becomes $(-y, -x)$.

Rotation of $90^\circ$ about the origin

A transformation in which the coordinate $(x, y)$ becomes $(-y, x)$.

Rotation of $180^\circ$ about the origin

A transformation in which the coordinate $(x, y)$ becomes $(-x, -y)$.

Rotation of $270^\circ$ about the origin

A transformation in which the coordinate $(x, y)$ becomes $(y, -x)$.

Rotation of $-90^\circ$ about the origin

A transformation in which the coordinate $(x, y)$ becomes $(y, -x)$.

Translation $T_{a,b}(x, y)$

A transformation rule that maps $(x, y)$ to $(x + a, y + b)$.