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A Scale Factor Greater than 1 (Mathematics Lesson)

A Scale Factor Greater than 1

An enlargement with a scale factor greater than 1 makes a shape larger.



The image is larger than the object.

A Real Example of a Scale Factor Greater than 1

The shape below has been enlarged by a scale factor of 2:



All lengths in the image are the lengths in the object.

More Real Examples of a Scale Factor Greater than 1

  • The shape below has a scale factor of 3:



    The scale factor can be found by dividing the length of the image by the corresponding length of the object.
    scale factor = 6 ÷ 3 = 2

  • The shape below has a scale factor of 1.5:



    The scale factor can be found by dividing the length of the image by the corresponding length of the object.
    scale factor = 9 ÷ 6 = 1.5
Curriculum
Geometry Lessons
Interactive Test
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Note
WHAT IS A SCALE FACTOR?

The scale factor describes how much bigger (or smaller) the enlarged shape is compared to the original shape.



The scale factor multiplies each length of the shape.

For example, if the scale factor is 2, each side in the enlarged shape is longer than in the original shape.

A NUMBER MULTIPLIED BY 1 IS ITSELF

A number multiplied by 1 is itself. When a side is enlarged by a scale factor of 1, its length is multiplied by 1 and stays the same.

OTHER TYPES OF SCALE FACTOR

If the scale factor is less than 1, the enlarged shape gets smaller:



If the scale factor is equal to 1, the enlarged shape stays the same size: