Transformations (Rotations, Reflections, Translations)

Front

What is the rule for rotating a point (x, y) 90° counterclockwise around the origin?

Back

(x, y) → (-y, x)

Front

What are the coordinates of a point A (-4, 0) after a 180° rotation about the origin?

Back

A' = (4, 0)

Front

If point A (-3, -5) is rotated 180° about the origin, what are the coordinates of A'?

Back

A' = (3, 5)

Front

What transformation takes point F (-1, 8) to F' (1, 8)?

Back

Translate 2 units right.

Front

What are the coordinates of point B (4, 2) after reflecting across the x-axis?

Back

B' = (4, -2)

Front

What is the effect of reflecting a point across the y-axis?

Back

The x-coordinate changes sign: (x, y) → (-x, y).

Front

How do you translate a point (x, y) 3 units left and 2 units up?

Back

(x, y) → (x - 3, y + 2).

Front

What is the rule for rotating a point (x, y) 90° clockwise around the origin?

Back

(x, y) → (y, -x).

Front

If triangle ABC is reflected across the y-axis, what happens to the coordinates of point A (x, y)?

Back

A' = (-x, y).

Front

What is the transformation rule for a 270° rotation counterclockwise about the origin?

Back

(x, y) → (y, -x).