#9-2 Rotations & Dilations

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain 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 many degrees is a quarter turn?

Back

A quarter turn is 90 degrees.

Front

What is the angle of rotation for a half turn?

Back

A half turn is 180 degrees.

Front

What does it mean to dilate a figure?

Back

To dilate a figure means to resize it by a scale factor, either enlarging or reducing its size while maintaining its shape.

Front

What is a scale factor in dilation?

Back

A scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

If a point (x, y) is rotated 90 degrees clockwise, what is its new position?

Back

The new position of the point (x, y) after a 90 degrees clockwise rotation is (y, -x).

Front

What happens to the coordinates of a point when it is rotated 180 degrees?

Back

When a point (x, y) is rotated 180 degrees, its new coordinates become (-x, -y).

Front

What is the result of rotating a figure 270 degrees counterclockwise?

Back

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

Front

What is the difference between rotation and reflection?

Back

Rotation turns a figure around a point, while reflection flips a figure over a line, creating a mirror image.