13.1 Quiz - Properties of Dilations

A dilation is given by the transformation (x, y) → (2/3x, 2/3y). Will this produce an enlargement or reduction?

• Enlargement
• Reduction

A dilation is given by the transformation (x, y) → (3/2x, 3/2y). Will this produce an enlargement or reduction?

• Enlargement
• Reduction

Choose the correct scale factor:

• 2
• 3
• 1/3
• 1/2

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)

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

• ½
• ¼
• 4
• 2

Does the image show a dilation?

• Yes
• No

Does the image show a Dilation?

• Yes
• No

The smaller triangle is transformed to create the larger triangle. Which of these is the scale factor of the dilation centered at the point (0, 0)?

• 4

• 2

• 1

• 1/2

Which algebraic representation ("rule") best represents the transformation in the picture?

• $\left(x,\ y\right)\rightarrow\left(2x,\ 2y\right)$

• $\left(x,\ y\right)\rightarrow\left(3x,\ 3y\right)$

• $\left(x,\ y\right)\rightarrow\left(\frac{1}{3}x,\ \frac{1}{3}y\right)$

• $\left(x,\ y\right)\rightarrow\left(\frac{1}{2}x,\ \frac{1}{2}y\right)$

 A figure is transformed based on the representation below.
 $\left(x,\ y\right)\rightarrow\left(2.6x,\ 2.6y\right)$  
Which statement best describes the resulting image?

• The figure was translated 2.6 units to the right and 2.6 units up.
  

• The sides of the image were reduced by a scale factor of 2.6.

• The sides of the image were enlarged by a scale factor of 2.6.

• The image is a reflection of the original.