Scale Factor on a Grid

Dilate Point B by a scale factor of 1/2

• (1.5,-4)

• (-1.5,1)

• (-1,-1.5)

• (-2,-2)

Dilate Point B by a scale factor of 3:

• (12,0)

• (12,12)

• (4,3)

• (0,12)

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)

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

Find the measure of x:

• 6

• 24

• 33

• 36

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

• 2

• 3/2

• 2/3

• 1/2

What is the scale factor used to dilate the small square to the larger square given there perimeters?

• 3

• 4

• 12

• 1/3

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

• True

• False

Triangle PQR is shown. What are the coordinates of Q' when triangle PQR is dilated by a scale factor of 4 using the origin as center?

• Q' (16,20)

• Q' (20, 16)

• Q' (36, 16)

• Q' (24, 9)