Rotation Transformations

Front

What is a rotation transformation?

Back

A rotation transformation is a type of transformation that turns a figure around a fixed point, known as the center of rotation, by a specified angle in a specified direction.

Front

What are the rotation rules for a 90° clockwise rotation?

Back

The rotation rule for a 90° clockwise rotation is (x, y) → (y, -x).

Front

What are the coordinates of a point after a 90° clockwise rotation?

Back

If the original coordinates are (x, y), after a 90° clockwise rotation, the new coordinates will be (y, -x).

Front

What happens to the coordinates of a point when it is translated up by 6 units?

Back

When a point (x, y) is translated up by 6 units, the new coordinates become (x, y + 6).

Front

How many quadrants are there in a coordinate plane?

Back

There are 4 quadrants in a coordinate plane.

Front

What is the rotation rule for a 180° rotation?

Back

The rotation rule for a 180° rotation is (x, y) → (-x, -y).

Front

What are the coordinates of a point after a 180° counterclockwise rotation?

Back

If the original coordinates are (x, y), after a 180° counterclockwise rotation, the new coordinates will be (-x, -y).

Front

What is the effect of a 90° counterclockwise rotation on the coordinates?

Back

The rotation rule for a 90° counterclockwise rotation is (x, y) → (-y, x).

Front

If point A is at (3, 4), what are the coordinates of A' after a 90° clockwise rotation?

Back

After a 90° clockwise rotation, the coordinates of A' will be (4, -3).

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a figure is rotated.