Proportions Dilations and Similar Figures

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(3,3) B(6,6) C(9,3)

• 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)

Find y.

• 144
• 18
• 72
• 12

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

• 144 feet
• 72 feet
• 36 feet

Which side length corresponds with EF?

• ML
• LM
• OL
• EH

Find the height of the tree.

• 8 ft
• 12 ft
• 13 ft
• 15 ft

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

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?

• 
• 
• 
• 

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