7.1.b: Scale and Scale Factor

What is the definition of scale?

• A type of fish commonly found in the ocean.

• A musical instrument with a series of graduated pitches.

• The act of climbing a mountain.

• Size or proportion in relation to another object.

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CCSS.7.G.A.1

CCSS.7.RP.A.2

CCSS.7.RP.A.3

How is the scale factor calculated?

• By multiplying the length of the image or object in the new scale by the length of the image or object in the original scale.

• By subtracting the length of the image or object in the new scale from the length of the image or object in the original scale.

• By adding the length of the image or object in the new scale to the length of the image or object in the original scale.

• By dividing the length of the image or object in the new scale by the length of the image or object in the original scale.

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CCSS.7.G.A.1

CCSS.7.RP.A.2

If the scale factor is 2, what happens to the dimensions of an object?

• The dimensions of the object will double.

• The dimensions of the object will triple.

• The dimensions of the object will remain the same.

• The dimensions of the object will halve.

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CCSS.7.G.A.1

CCSS.7.RP.A.2

If the scale factor is 0.5, what happens to the dimensions of an object?

• The dimensions of the object are doubled.

• The dimensions of the object are reduced by half.

• The dimensions of the object remain the same.

• The dimensions of the object are increased by half.

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CCSS.7.G.A.1

CCSS.7.RP.A.2

If a line segment is 5 cm long and it is scaled by a factor of 3, what is the length of the new line segment?

• 8 cm

• 12 cm

• 15 cm

• 10 cm

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CCSS.7.G.A.1

CCSS.7.RP.A.2

If a rectangle has a length of 8 cm and a width of 4 cm, and it is scaled by a factor of 0.5, what are the dimensions of the new rectangle?

• The dimensions of the new rectangle are 4 cm by 2 cm.

• The dimensions of the new rectangle are 10 cm by 5 cm.

• The dimensions of the new rectangle are 6 cm by 3 cm.

• The dimensions of the new rectangle are 2 cm by 1 cm.

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CCSS.7.G.A.1

CCSS.7.RP.A.2

If a triangle has a base of 10 cm and a height of 6 cm, and it is scaled by a factor of 2, what are the dimensions of the new triangle?

• The dimensions of the new triangle are a base of 5 cm and a height of 3 cm.

• The dimensions of the new triangle are a base of 15 cm and a height of 9 cm.

• The dimensions of the new triangle are a base of 12 cm and a height of 8 cm.

• The dimensions of the new triangle are a base of 20 cm and a height of 12 cm.

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CCSS.7.G.A.1

CCSS.7.G.B.6

CCSS.7.RP.A.2

If two similar rectangles have a scale factor of 1:2, and one rectangle has a length of 10 cm, what is the length of the other rectangle?

• 20 cm

• 25 cm

• 5 cm

• 15 cm

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CCSS.7.G.A.1

CCSS.7.RP.A.2

A scale factor greater than one creates ....

• a reduction
• an enlargement
• an exact copy
• none of these

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CCSS.7.G.A.1

If the scale factor is less than one, the new figure will be

• an enlargement
• a reduction
• a scale factor
• bigger

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CCSS.7.G.A.1