Rotation and Dilation

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but not its shape, using a scale factor and a center of dilation.

Front

How do you perform a dilation on a point?

Back

To dilate a point, multiply its coordinates by the scale factor and keep the center of dilation in mind.

Front

What is the scale factor in dilation?

Back

The scale factor is a number that determines how much a figure is enlarged or reduced during dilation.

Front

What is the effect of a scale factor greater than 1 during dilation?

Back

A scale factor greater than 1 enlarges the figure.

Front

What is the effect of a scale factor between 0 and 1 during dilation?

Back

A scale factor between 0 and 1 reduces the figure.

Front

What is a rotation in geometry?

Back

Rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle.

Front

How do you determine the new coordinates of a point after a 90-degree rotation counterclockwise about the origin?

Back

For a point (x, y), the new coordinates after a 90-degree counterclockwise rotation are (-y, x).

Front

How do you determine the new coordinates of a point after a 180-degree rotation about the origin?

Back

For a point (x, y), the new coordinates after a 180-degree rotation are (-x, -y).

Front

How do you determine the new coordinates of a point after a 270-degree rotation counterclockwise about the origin?

Back

For a point (x, y), the new coordinates after a 270-degree counterclockwise rotation are (y, -x).

Front

What is the difference between reflection and rotation?

Back

Reflection flips a figure over a line, while rotation turns a figure around a point.