12.5 Transformations Review

Front

What happens to the area of a figure when it is dilated by a scale factor of 2/5?

Back

The area is multiplied by the square of the scale factor, so the new area is (2/5)² = 4/25 of the original area.

Front

How do you find the scale factor when a point is dilated from (8, 12) to (2, 3)?

Back

The scale factor is found by dividing the coordinates of the new point by the original point: (2/8) = (1/4) or (3/12) = (1/4). The scale factor is 1/4.

Front

What are the new coordinates of point A after a 90° counterclockwise rotation about the origin if A is at (3, 5)?

Back

The new coordinates A' will be (-5, 3).

Front

What is the sequence of transformations from one image to another if it involves translation followed by reflection?

Back

The sequence is translation then reflection.

Front

What are the new coordinates of point A after a 180° rotation about the origin if A is at (3, 5)?

Back

The new coordinates A' will be (-3, -5).

Front

Define dilation in geometry.

Back

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

Front

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

Back

A scale factor greater than 1 enlarges the figure.

Front

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

Back

A scale factor less than 1 reduces the size of the figure.

Front

What is the formula for the area of a figure after dilation?

Back

If the original area is A and the scale factor is k, the new area is A' = k² * A.

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.