Geometric Rotations

Front

What is a geometric rotation?

Back

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

Front

What is the center of rotation?

Back

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

Front

How do you determine the coordinates of a point after a 180° rotation about a point (h, k)?

Back

To find the new coordinates (x', y') after a 180° rotation about (h, k), use the formula: (x', y') = (2h - x, 2k - y).

Front

What happens to the coordinates of a point when it is rotated 90° clockwise about the origin?

Back

When a point (x, y) is rotated 90° clockwise about the origin, its new coordinates become (y, -x).

Front

What happens to the coordinates of a point when it is rotated 90° counterclockwise about the origin?

Back

When a point (x, y) is rotated 90° counterclockwise about the origin, its new coordinates become (-y, x).

Front

What is the effect of rotating a figure 180° about the origin?

Back

Rotating a figure 180° about the origin changes the coordinates of each point (x, y) to (-x, -y).

Front

If point A(2, 3) is rotated 180° about the point (1, 1), what are the new coordinates?

Back

The new coordinates of point A after rotation are (0, -1).

Front

What is the difference between clockwise and counterclockwise rotation?

Back

Clockwise rotation moves in the direction of the hands of a clock, while counterclockwise rotation moves in the opposite direction.

Front

How do you find the image of a triangle after a rotation?

Back

To find the image of a triangle after a rotation, apply the rotation rules to each vertex of the triangle.

Front

What is the result of rotating a figure 270° clockwise?

Back

Rotating a figure 270° clockwise is equivalent to rotating it 90° counterclockwise.