Rotations and 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 angle of rotation for a 90 degrees counterclockwise rotation?

Back

A 90 degrees counterclockwise rotation turns the figure 90 degrees to the left.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but not its shape, using a scale factor.

Front

How do you find the scale factor in a dilation?

Back

The scale factor is found by dividing the distance from the center of dilation to a point on the image by the distance from the center of dilation to the corresponding point on the original figure.

Front

What is the scale factor if the point (8, 12) is dilated to (2, 3)?

Back

The scale factor is ¼.

Front

What are the coordinates of a point after a 180 degrees rotation about the origin?

Back

The coordinates of a point (x, y) after a 180 degrees rotation about the origin become (-x, -y).

Front

Which quadrant contains the point (2, 5)?

Back

Quadrant I.

Front

What is the result of rotating a point (x, y) 90 degrees clockwise about the origin?

Back

The new coordinates will be (y, -x).

Front

What happens to the coordinates of a point when it is dilated by a scale factor of 2?

Back

The new coordinates will be (2x, 2y), effectively doubling the distance from the center of dilation.

Front

If a figure is rotated 270 degrees counterclockwise, what is the equivalent clockwise rotation?

Back

The equivalent clockwise rotation is 90 degrees.