Transformations Review

Front

What is a dilation in geometry?

Back

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

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that scales, or multiplies, the coordinates of a point during a dilation.

Front

Dilate the point (2, 3) by a scale factor of 2. What are the new coordinates?

Back

(4, 6)

Front

What happens to the coordinates of a point (x, y) when it is dilated by a scale factor of k?

Back

The new coordinates become (kx, ky).

Front

What is the effect of a scale factor less than 1 in a dilation?

Back

It reduces the size of the figure.

Front

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

Back

It enlarges the size of the figure.

Front

What are the rotation rules for a 180° clockwise rotation?

Back

The coordinates change from (x, y) to (-x, -y).

Front

Rotate the point (3, 4) 180° clockwise. What are the new coordinates?

Back

(-3, -4)

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

How do you reflect a point (x, y) over the y-axis?

Back

The new coordinates become (-x, y).