Dilation Effects on Area and Perimeter

A triangle has a perimeter of P units. The triangle is dilated by a scale factor of 1/2. Which expression could represent the perimeter of the new shape?

• 2P units

• 4P units

Tags

8.10.D

A triangle has a perimeter of P units. The triangle is dilated by a scale factor of 2.

Which expression could represent the perimeter of the new shape?

• 2P units

• 4P units

Tags

8.10.D

Jane's garden is a 2 ft x 3 ft rectangle. If she increases it by a scale factor of 3, what is the new area of her garden?

• 72 square feet

• 18 square feet

• 36 square feet

• 54 square feet

Tags

8.10.D

A triangle has an area of P square units. The triangle is dilated by a scale factor of 2.

Which expression could represent the area of the new shape?

• 2P units

• 4P units

Tags

8.10.D

A triangle has a perimeter of 10 centimeters. If each dimension of the triangle is dilated by a scale factor of 2 to create a new triangle, what is the perimeter of the new triangle?

• 40 centimeters

• 80 centimeters

• 20 centimeters

• 30 centimeters

Tags

8.10.D

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

• 4

• 16

• 3

• 12

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

If k=1.25 (k is scale factor), then a dilation will result in a(n)______

• reduction

• enlargement

• scale factor

• center of dilation