Question

Label each of the following scale factors based on whether they would cause an expansion or a contraction.

0.75


4/5


-7


11/9


-4.3

NO LINKS!

Answer 1

0.75: Contraction

4/5: Contraction

-7: Expansion

11/9: Expansion

-4.3: Expansion

Explanation:

• 0.75: This scale factor is less than 1, indicating a decrease in size. It would cause a contraction.
• 4/5: This scale factor is less than 1, indicating a decrease in size. It would cause a contraction.
• -7: This scale factor is negative, indicating a change in direction. It would cause an expansion.
• 11/9: This scale factor is greater than 1, indicating an increase in size. It would cause an expansion.
• -4.3: This scale factor is negative, indicating a change in direction. It would cause an expansion.

Answer 2

0.75 = contraction

4/5 = contraction

-7 = expansion

11/9 = expansion

-4.3 = expansion

Explanation:

The scale factor is a numerical value that expresses the proportional change in size between an original object or figure and a scaled version of it.

Expansion

If the magnitude of the scale factor is greater than 1, it indicates an expansion, meaning the new size is larger than the original size.

Contraction

If the magnitude of the scale factor is between 0 and 1, it indicates a contraction, meaning the new size is smaller than the original size.

Reflection

If the scale factor is negative, it indicates a reflection in addition to the expansion or contraction.

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As 0.75 is between 0 and 1, the scale factor of 0.75 would cause a contraction.

As 4/5 is between 0 and 1, the scale factor of 4/5 would cause a contraction.

As the magnitude of -7 is 7, and 7 is greater than 1, the scale factor of -7 would cause an expansion.

As 11/9 is greater than 1, the scale factor of 11/9 would cause an expansion.

As the magnitude of -4.3 is 4.3, and 4.3 is greater than 1, the scale factor of -4.3 would cause an expansion.