Proportions and Dilations

Dilate a 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)

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

• (5,3)
• (20,12)
• (-20,-12)
• (-5,-3)

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

A dilation is which of the following: 

• only an enlargement
• only a reduction
• Either an enlargement or a reduction
• Neither an enlargement or a reduction

A dilation produces a similar figure.

• True

• False

When a dilation has a scale factor greater than one, the dilation is an enlargement.

• True
• False

When the scale factor of a dilation is less than one, the dilation is a reduction.

• True
• False

What is the value of x?

• x = 4

• x = 6

• x = 3

• x = 2

Solve the proportion.

• p=31.3
• p=308
• p=924
• p=532

The pair of figures is similar. Find the missing side.

• x = 9

• x = 28

• x = 63

• x = 7