Dilation Area and Perimeter

What is the scale factor used to dilate the small square to the larger square given there areas?

• 4

• 16

• 3

• 12

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

• (5,3), (6,2), (1,-2)

• (6,0), (9,-3), (-6,-15)

• (2/3,0), (1,-1/3), (-2/3,-5/3)

• (-1,-3), (0,-4), (-5,-8)

What is the scale factor if the triangle on the left is the original?

• 2

• 3/2

• 2/3

• 1/2

What is the scale factor if the smaller rectangle is the original rectangle?

• 4

• 25

• 5

• 6

If a rectangle is drawn and another rectangle is drawn so that the sides are twice as big as the first rectangle, what happens to the area?

• doubles

• triples

• quadruples

• not enough information

Does the image show a dilation?

• Yes

• No

Find the measure of x:

• 6

• 24

• 33

• 36

The __________ is the ratio of a length of the image to the corresponding length on the original figure.

• reduction

• enlargement

• scale factor

• center of dilation

Which transformation will result in being similar to the original figure but has a larger area?

• Dilation with scale factor of 2

• Dilation with scale factor of 1

• Dilation with scale factor of .5

• Translation 

A triangle is dilated by a scale factor of ⅓ to produce a new triangle. Which of the following best describes the relationship between the perimeter of the original triangle compared to the perimeter of the new triangle?

• The perimeter of the new triangle is ⅓ that of the original triangle

• The perimeter of the new triangle is 3 times that of the original triangle.

• The perimeter of the new triangle is 1/9 that of the original triangle.

• The perimeter of the new triangle is 9 times that of the original triangle