Exploring Dilation and Scale Factor Concepts

This video tutorial explains how to determine the scale factor of a dilation using side lengths of pre-images and images. It covers methods to calculate the scale factor by comparing vertices and using ratios. The tutorial addresses common misunderstandings and explains different types of dilations, including enlargements, reductions, and congruent figures. By the end, viewers will understand how to calculate the scale factor and recognize the characteristics of various dilations.

What is the scale factor if the x-value of the image vertex is 4 and the pre-image vertex is 2?

• 2

• 1

• 4

• 0.5

If the side length of the image is twice that of the pre-image, what is the scale factor?

• 0.5

• 1

• 2

• 4

What must be true for all corresponding sides in a dilation?

• They must have a constant ratio.

• They must decrease.

• They must be equal.

• They must increase.

If the ratios of corresponding sides are 1.5, 2, and 1.6, is the transformation a dilation?

• Cannot be determined

• No

• Sometimes

• Yes

What type of dilation results in a scale factor greater than 1?

• Reduction

• Enlargement

• Congruent transformation

• None of the above

What is the scale factor for a dilation where the image is half the size of the pre-image?

• 1

• 1.5

• 2

• 0.5

In a congruent dilation, what is the scale factor?

• 1.5

• 1

• 0.5

• 0

What is the scale factor if the side lengths of the image and pre-image are 3 and 6 respectively?

• 0.5

• 1

• 3

• 2

Which type of dilation occurs when the scale factor is between 0 and 1?

• Congruent transformation

• None of the above

• Enlargement

• Reduction

How do you determine the scale factor in a dilation?

• Subtract the length of the image from the pre-image.

• Add the lengths of the image and pre-image.

• Multiply the lengths of the image and pre-image.

• Divide the length of the image by the length of the pre-image.