Dilation Effects

A triangle has an area of P square units. The triangle is dilated by a scale factor of 3.

Which expression could represent the area of the new shape?

• 9P units

• 3P units

Tags

8.10.D

If two figures are similar, the corresponding sides are ______________.

• equal

• congruent

• proportional

• none of these

Tags

8.10.D

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 rectangle is dilated by a scale factor of 2.

What happens to the area?

• doubles

• triples

• quadruples

• not enough information

Tags

8.10.D

What is one way to determine how much the area would increase using a scale factor of 3?

• take the scale factor and square it to get 3x3=9

• add all of the sides together then multiply by 3

• multiply the area of the smaller rectangle by 3

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

A triangle ABC with sides AB = 8, BC = 16, and AC = 17 is dilated to form a triangle with side B'C' = 8. Which of the following statements about the sides of the image of triangle ABC?

• A'B' = 8

  and A'C' = 17

• A'B' = 0

  and A'C' = 9

• A'B' = 4

  and A'C' = 8.5

• Impossible to determine