Unit 3 Interim Review

Given the following rule:

(x, y) -> (x + 3, 2y - 4)

what will the new coordinate be for (3, -2) after this transformation?

• (6, -8)

• (6, 0)

• (0, 8)

• (6, 8)

Consider the rule:

(x, y) -> (x - 2, 3y)

What is the new coordinate for the coordinate (2, 2) after the transformation?

• (0, 6)

• (4, 5)

• (0, 5)

• (4, 6)

Consider the rule:

(x, y) -> (2x, 2y)

What is the new coordinate for (4, 3) after the transformation?

• (8, 6)

• (6, 5)

• (1/2, 2/3)

• (2, 1)

If k > 1, the image will be an enlargement of the preimage

• True

• False

• Cannot be determined

A triangle with vertices at (1, 1), (2, 3), and (4, 2) is dilated about the point (2, 2) with a scale factor of 2. Draw the new triangle.

Line segment PF has endpoints at P(2, 3) and F(6, 7). It is dilated about the center of dilation (1, 1) with a scale factor of 3. What are the coordinates of P' and F'?

• P'(4, 7)

  F' (16, 19)

• P'(3, 6)

  F' (15, 18)

• P' (2, 5)

  F' (14, 17)

• P' (6, 9)

  F' (18, 21)

What is the center of dilation?

• (7, 4)

• (0, 0)

• (2, 2)

• (5, 4)

What is the scale factor?

• 3

• -3

What is the center of dilation?

• (-7, -6)

• (0, 0)

• (6, 7)

• (-5, -5)