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Scale Factor Practice Worksheet

A Grade 8 math worksheet focusing on understanding and applying scale factors to geometric figures, including identifying scale factors and calculating dimensions of scaled figures.

Grade 8 Math GeometryScale Factor
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.8.G.A.4

Topics

mathgeometryscale factorgrade 8
7 sections · Free to use · Printable
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Scale Factor Practice

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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.

1. A rectangle has a length of 10 cm and a width of 5 cm. If it is enlarged by a scale factor of 2, what are the new dimensions?

a

Length = 12 cm, Width = 7 cm

b

Length = 20 cm, Width = 10 cm

c

Length = 10 cm, Width = 5 cm

d

Length = 5 cm, Width = 2.5 cm

2. If a figure is shrunk by a scale factor of 1/2, how does its area change?

a

It is halved.

b

It is quartered.

c

It is doubled.

d

It remains the same.

3. The ratio of the lengths of corresponding sides of two similar figures is called the  .

4. If the scale factor is greater than 1, the figure is  .

5. A triangle has sides of length 3 cm, 4 cm, and 5 cm. If it is dilated by a scale factor of 3, what are the new lengths of its sides?

6. A map has a scale of 1:500. If two cities are 10 cm apart on the map, what is the actual distance between them in meters?

7. A scale factor of 0.5 means the new figure is an enlargement of the original.

T

True

F

False

8. Draw a rectangle with length 4 units and width 2 units on the grid below. Then, draw an enlargement of this rectangle using a scale factor of 1.5.

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