Vocabulary
Perimeter
Area
Volume
Mixed Questions
100

What is the original figure before a dilation called?

It is called the pre-image. 

100

An original circle has a circumference of 15 centimeters. It is dilated by a scale factor of 3. What is the circumference of the new figure?

The circumference is 45 centimeters. 
100

A rectangle has a base of 6 feet and a height of 5 feet. It is dilated by a scale factor of 4. What is the new area of the rectangle? 

The area of the new rectangle is 480 feet2

100

A cube has a side of 7 inches. The cube is dilated by a scale factor of 2. What is the volume of the new cube? 

The volume of the new cube is 2744 inches3. 

100

Write 0.000123 in scientific notation. 

1.23 x 10-4

200

What is the new figure after a dilation called?

It is called the image.

200

A rectangle has a base of 14 inches and a height of 4 inches. It is dilated by a scale factor of 2. What is the perimeter of the new rectangle?

The perimeter of the new rectangle is 72 inches. 

200

A rectangle has a base of 7 inches and a height of 8 inches. The rectangle is dilated by a scale factor of 1/2. What is the new area of the rectangle?

The area of the new rectangle is 14 inches2.

200
The volume of a prism is 150 feet. The prism is dilated using a scale factor of 6. What is the volume of the new prism?

The volume of the new prism is 32,400 feet3

200

Solve 5x - 6 = 2x + 6

x = 4

300

What is the formula for scale factor?

The formula for scale factor is new divided by original. 

300

The perimeter of a triangle is 12 meters, and it is dilated using a scale factor of 3/4. What is the perimeter of the new triangle? 

The perimeter of the new triangle (P') is 9 meters. 

300
A triangle has a base of 3 cm and a height of 10 cm. The triangle is dilated by a scale factor of 8. What is the new area of the triangle? 

The area of the new triangle is 960 cm2.

300

The volume of a cube is 120 inches3. The cube is dilated using a scale factor of 1/2. What is the new volume of the cube?

The volume of the new cube is 15 inches3

300

Sam makes $15 per hour plus a $30 bonus. Tim makes $20 per hour and no bonus. Write an equation to show when Sam and Tim will make the same amount of money.

15h + 30 = 20h

400

What is a dilation resulting from a scale factor greater than one called? 

Hint: It starts with "e."

It is called an enlargement. 

400

The radius of a circle is 3. The circle is dilated using a scale factor of 2. What is the new circumference of the circle in terms of pi?

Example: 2 pi

The circumference of the new circle will be 12 pi. 
400

A triangle has a base of 4 in. and a height of 8 in. The triangle is dilated by a scale factor of 1/3. What is the area of the new triangle? 

The area of the new triangle is roughly 1.7, repeating. 

400

A prism has a length (in feet) of 5, width of 4, and height of 3. The prism is dilated using a scale factor of 2. What is the new volume of the prism?

V' = 480 feet3​​​​
400

Sam makes $15 per hour plus a $30 bonus. Tim makes $20 per hour and no bonus. How many hours do they have to work until both make the same amount of money?

6 hours.

500
What is a dilation resulting from a scale factor less than one called?


Hint: It starts with "r."

It is called a reduction. 

500

A right triangle has legs 5 feet and 12 feet. It is dilated by a scale factor of 5. What is the perimeter of the new triangle?

The perimeter of the new triangle is 150 feet. 

500
A circle has a radius of 9, and it is dilated using a scale factor of 2. In terms of pi, what is the new area of the circle? 

The area of the new circle is 324 pi .

500

The volume of a cube is 64 centimeters3. What is the new volume of the cube if it is dilated using a scale factor of 3/4? 

V' = 27 cm3
500

How many people read and take notes from Google Classroom? Make me laugh. 

(Laughter)