[GEO] Coordinate Rules - Kayan F

Reflection over x-axis

(x, y) → (x, -y)

Reflection over y-axis

(x, y) → (-x, y)

Reflection over y = x

(x, y) → (y, x)

Reflection over y = -x

(x, y) → (-y, -x)

Rotation 90° clockwise (270° counterclockwise) (Origin as center)

(x, y) → (y, -x)

Rotation 180° (Origin as center)

(x, y) → (-x, -y)

Rotation 270° clockwise (90° counterclockwise) (Origin as center)

(x, y) → (-y, x)

Translation along the vector ⟨±a, ±b⟩

(x, y) → (x ± a, y ± b)

Dilation by a factor of a (Origin as center)

(x, y) → (ax, ay)

Horizontal stretch/compression by a factor of a

(x, y) → (ax, y)

Vertical stretch/compression by a factor of a

(x, y) → (x, ay