Calculating the Scale Factor of a Dilation

This video tutorial explains how to calculate the scale factor of a dilation by comparing the measurements of an image and its preimage. It covers the concept of dilation, the role of the center of dilation, and how to determine the scale factor using corresponding vertices and side lengths. The tutorial also discusses different types of dilation, including enlargement, reduction, and congruence, and emphasizes the importance of checking all sets of corresponding sides to ensure proportionality.

What is the role of the center of dilation in determining the scale factor?

• It is used to calculate the scale factor by comparing vertices.

• It determines the direction of the dilation.

• It changes the shape of the image.

• It is irrelevant to the scale factor.

How can you find the scale factor using side lengths?

• By multiplying the lengths of the image and preimage.

• By adding the lengths of the image and preimage.

• By dividing the image length by the preimage length.

• By subtracting the preimage length from the image length.

Why is it important to check all sets of corresponding sides when determining the scale factor?

• To find the center of dilation.

• To calculate the area of the image.

• To confirm that the dilation is consistent across all sides.

• To ensure the image is larger than the preimage.

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

• Enlargement

• Reduction

• Congruence

• Transformation

What type of dilation occurs when the scale factor is between zero and one?

• Reflection

• Enlargement

• Congruence

• Reduction

When are the image and preimage considered congruent?

• When the scale factor is greater than one.

• When the scale factor is less than one.

• When the scale factor is zero.

• When the scale factor is equal to one.

What is the scale factor if the image and preimage are the same size?

• Greater than one

• Less than one

• Zero

• Equal to one