Effects of Changing the Dimensions of a Figure Answers

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What can be concluded about the effect of the change on the new volume?

Answers:
What is the volume of the new prism? cm3.:1,485
The new volume is times the original volume.:27
6

Which statement best describes the change in the perimeter of the new rectangle?

A
The new perimeter will be times the perimeter of the original rectangle.
Option A
B
The new perimeter will be times the perimeter of the original rectangle.
Option B
C
The new perimeter will be 2 times the perimeter of the original rectangle.
D
The new perimeter will be 3 times the perimeter of the original rectangle.
7

What is the area of the triangle after applying a dilation by a scale factor of 2? Describe the effects.

A
31.5 cm2. The area of the new triangle is equal to the area of the original triangle.
B
63 cm2. The area of the new triangle is 2 times the area of the original triangle.
C
126 cm2. The area of the new triangle is 4 times the area of the original triangle.
D
252 cm2. The area of the new triangle is 8 times the area of the original triangle.
8

The circle is dilated by a scale factor of . What can be concluded of the effect on the circle? Check all that apply.

Question illustration
A
The new radius is 6 inches.
B
The new circumference is 12 inches.
Option B
C
The new area is 12 in.2.
Option C
D
The new area is the original area times the square of .
Option D
E
The new area is the original area times the square of .
Option E
10

A new square has dimensions that are the size of the original square. What statements are true? Select all that apply.

Question illustration
A
The dimensions of the new square are 10 times the dimensions of the original square.
B
The perimeter of the new square is times the perimeter of the original square.
Option B
C
The perimeter of the new square is equal to the perimeter of the original square.
D
The perimeter of the new square is 10 times the perimeter of the original square.
E
The area of the new square is times the area of the original square.
Option E
F
The area of the new square is 100 times the area of the original square.
12

What is the volume of the pyramid after dilating by a scale factor of ? Describe the effects.

Question illustration
A
16 m3. The volume of the new pyramid is the volume of the original pyramid times .
Option A
B
64 m3. The volume of the new pyramid is the volume of the original pyramid times .
Option B
C
256 m3. The volume of the new pyramid is the volume of the original pyramid times .
Option C
D
1,024 m3. The volume of the new pyramid is equal to the volume of the original pyramid.
Option D
13

Which of the following did you include in your response?

A
Apply the change to all dimensions of the figure to ensure a proportional relationship.
B
The perimeter of the new figure will be the perimeter of the original times the scale factor.
C
The area of the new figure will be the area of the original times the square of the scale factor.
15

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