Similar Figures Dilations

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?

• A'(9,9) B'(18,18) C'(27,9)

• A'(6,6) B'(9,9) C'(12,6)

• A'(0,0) B'(3,3) C'(6,0)

• A'(1,1) B'(2,2) C'(3,1)

Determine the correct algebraic representation of the similar figures

• (x, y) -> (.5x, .5y)

• (x, y) -> (2x, 2y)

• (x, y) -> (x + 2, y + 2)

• (x, y) -> (x - .5, y - .5)

Triangle PQR is similar to triangle DEF shown. Which describes the relationship between the corresponding sides of the two triangles?

• 
• 
• 
• 

Determine the correct algebraic representation of the similar figures shown.

• (x, y) -> (2x, 2y)

• (x, y) -> (.5x, .5y)

• (x, y) -> (x, 2y)

• (x, y) -> (.5x, y)

Given that triangle ABC is similar to triangle ADE with AB = 2 cm, BD = 3 cm, and DE = 10 cm. What is the length of side length BC?

• 6.67 cm

• 5 cm

• 4 cm

• 6 cm

Find y.

• 144

• 18

• 72

• 12

Which side length corresponds with EF?

• ML

• LM

• OL

• EH

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

• ½

• ¼

• 4

• 2

A dilation always produces a similar figure. Similar figures have the same ______ but different ______. 

• measure; shapes

• sizes; shapes

• value; measures

• shape; sizes

Jane's garden is a 2 ft x 3 ft rectangle. If she increases it by a scale factor of 3, what is the new area of her garden?

• 72 squared feet

• 18 squared feet

• 36 squared feet

• 54 squared feet