Dilations on a Coordinate Grid

How do you write the algebraic notation when the scale factor is 3?

• (x, y) goes to (1/3x, 1/3y)

• (x, y) goes to (-3x, -3y)

• (x, y) goes to (x + 3, y + 3)

• (x, y) goes to (3x, 3y)

Dilate Point B by a scale factor of 1/2

• (1.5,-4)

• (-1.5,1)

• (-1,-1.5)

• (-2,-2)

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor k = 2.

• (2,4.5)

• (-8,-18)

• (8,18)

• (9,4)

A dilation produces a similar figure

• True

• False

When a dilation has a scale factor greater than one, the dilation is an enlargement.

• True

• False

When the scale factor of a dilation is less than one, the dilation is a reduction.

• True

• False

How do you write the algebraic notation when the scale factor is 1/2?

• (x, y) goes to (2x, 2y)

• (x, y) goes to (1/2x, 1/2y)

• (x, y) goes to (-2x, -2y)

• (x, y) goes to (2x, 1/2y)

The __________ is the ratio of a length of the new figure to the corresponding length on the original figure.

• reduction

• enlargement

• scale factor

• center of dilation

Choose the correct scale factor:

• 2.5

• 1.5

• 3.5

• 4

What is the scale factor if the triangle on the left is the original?

• 2

• 3/2

• 2/3

• 1/2