Scale Factors and Dilation Effects

The video tutorial discusses scale factors and dilations, explaining how a dilation changes the size of an image. It covers how a scale factor greater than one results in an enlargement, while a scale factor less than one results in a reduction. The video also touches on the identity property of multiplication, where a scale factor equal to one results in congruent figures.

What is a dilation in geometry?

• A transformation that rotates an image

• A transformation that changes the size of an image

• A transformation that reflects an image

• A transformation that changes the shape of an image

What does the scale factor K determine in a dilation?

• The color of the image

• The shape of the image

• The position of the image

• Whether the image is enlarged or reduced

What happens when the scale factor K is greater than one?

• The image is reflected

• The image is enlarged

• The image is reduced

• The image is unchanged

Which of the following scale factors will result in an enlargement?

• 0.8

• 1/5

• 0.5

• 4

Which of the following is an example of a scale factor that results in enlargement?

• 0.75

• 0.9

• 1/3

• 5/2

What is the effect of a scale factor of 4 on an image?

• The image is rotated

• The image is unchanged

• The image is enlarged

• The image is reduced

What is the result when the scale factor K is less than one?

• The image is unchanged

• The image is enlarged

• The image is rotated

• The image is reduced

Which of the following scale factors will result in a reduction?

• 5/2

• 3

• 1/5

• 2

Which scale factor would result in a reduction of an image?

• 0.5

• 1.5

• 2

• 3

Which of the following is NOT a result of a scale factor less than one?

• Reduction

• Shrinking

• Enlargement

• Smaller image