Similar Figures Dilations Proportions

Let triangle XYZ be the dilated image of triangle ABC with a scale factor of k = 3. Which of the following is the correct center of dilation?

• (0, 0)

• (4, 1)

• (-5, 5)

• (1, 4)

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown.  Find the length of AB to the nearest meter.

• 10

• 12

• 15

• 18

The triangles are similar, solve for the question mark.

• 8

• 12.5

• 18

• 24

A scale factor of less than one means

• that the image will be larger than the pre-image.

• That the image will be the same as the pre-image.

• That you need to subtract that amount off  of each side.

• That the image will be a reduction of the pre-image.

Which of the following proportions are implied by the figure?

(Select all that apply.)

• 
• 
• 
• 

• A
• B
• C
• D

• A
• B
• C
• D

Which of the following proportions are implied by the figure?(Select all that apply.)

• 
• 
• 
• 

What is the value of X?

• X=4

• X=6

• X=3

• X=2

Are the triangles similar?

• Yes

• No