Dilations of Areas

Which transformation results in a figure that is similar to the original figure but has a greater area? (No, there is not a picture that goes with this question. You can draw one if you like.)

• a dilation of triangle QRS by a scale factor of 0.25

• a dilation of triangle QRS by a scale factor of 0.5

• a dilation of triangle QRS by a scale factor of 1

• a dilation of triangle QRS by a scale factor of 2

If the triangle at the right were to be dilated using a scale factor of 1/2 , which is the only triangle below that could represent the transformed image?

• A

• B

• C

• D

Which of the following expressions describes the ratio of the areas of two dilated figures with scale factor k?

• 1

Rectangle ABCD is dilated by a scale factor of 3 to create A'B'C'D'. If the area of ABCD is 12, what is the area of A'B'C'D'?

• 36

• 4

• 72

• 108

ABCD is dilated by a scale factor of 3 to create A'B'C'D'. If AB=6, what is A'B'?

• 2

• 9

• 18

• 3

A dilation with scale factor greater than 1 creates a(n)

• Reduction

• Enlargement

In the following dilation from figure A to figure B, what is the scale factor?

• 1/3

• 3

• 1/2

• 2

In the following dilation from figure A to figure B, what is the scale factor?

• 2/5

• 3

• 1/2

• 5/2

A dilation with scale factor between 0 and 1 creates a(n)

• Reduction

• Enlargement

Triangle CDE is dilated about the origin by a scale factor of 2. What is the location of D'?

• (-2, 4)

• (-2, 2)

• (-1, 1)

• (4, -2)