Understanding Dilation and Scale Factors

The video tutorial explains how to determine the scale factor of a dilation using side lengths of preimage and image. It covers methods to calculate the scale factor by comparing vertices and side lengths, emphasizing the importance of proportionality. The tutorial also discusses different types of dilation: enlargement, reduction, and congruence, and highlights common misunderstandings. By the end, viewers will understand how to calculate the scale factor and recognize different dilation types.

What is the scale factor if the x-coordinate of the image is 6 and the x-coordinate of the preimage is 3?

• 1

• 3

• 0.5

• 2

How do you determine the scale factor using side lengths?

• By multiplying the side lengths of the image and preimage

• By dividing the side length of the image by the side length of the preimage

• By subtracting the side lengths of the image from the preimage

• By adding the side lengths of the image and preimage

What must be true for a set of side ratios to confirm a dilation?

• At least one ratio must be greater than 1

• All ratios must be different

• At least one ratio must be less than 1

• All ratios must be equal

What is a dilation called when the scale factor is greater than 1?

• Reduction

• Transformation

• Congruence

• Enlargement

If a preimage has a side length of 4 and the image has a side length of 6, what is the scale factor?

• 1.5

• 0.67

• 1

• 2

What is a dilation called when the scale factor is between 0 and 1?

• Enlargement

• Transformation

• Reduction

• Congruence

If the side lengths of a preimage and image are equal, what is the scale factor?

• 0.5

• 2

• 1

• 0

What does it mean if the scale factor of a dilation is 1?

• The image is larger than the preimage

• The image is a reflection of the preimage

• The image is smaller than the preimage

• The image and preimage are congruent

Which of the following is NOT a type of dilation?

• Congruence

• Reflection

• Reduction

• Enlargement

What is the relationship between the image and preimage when the scale factor is 1?

• The image and preimage are the same size

• The image is a different shape than the preimage

• The image is twice the size of the preimage

• The image is half the size of the preimage