Scale Factor and Dilation Concepts

The video tutorial explains how to determine the scale factor in dilation, using examples of enlargement and reduction. It emphasizes a straightforward method of calculating the scale factor by comparing starting and ending points on a graph, avoiding complex formulas. The tutorial provides practical examples to illustrate the process, ensuring a clear understanding of how to apply the concept of scale factor in different scenarios.

What is the primary goal when analyzing a dilation on a graph?

• To identify the type of transformation

• To calculate the area of the image

• To determine the scale factor

• To find the center of the dilation

What does the reverse rule help you determine in a dilation?

• The type of transformation

• The center of the dilation

• The coordinates of the image

• The scale factor

In an enlargement, what can be said about the scale factor?

• It is less than zero

• It is equal to zero

• It is greater than one

• It is between zero and one

How do you find the scale factor when moving from point (0, 2) to (0, 6)?

• Divide 6 by 2

• Multiply 2 by 6

• Subtract 2 from 6

• Add 2 to 6

Why is it unnecessary to use the distance formula in finding the scale factor?

• The same result can be achieved more simply

• It gives incorrect results

• It is too complex

• It is not applicable to dilations

What is the range of the scale factor in a reduction?

• Greater than one

• Equal to one

• Between zero and one

• Less than zero

When reducing from point (9, 3) to (3, 1), what is the scale factor?

• 3

• 1

• 1/3

• 9

What is the first step in finding the scale factor for a reduction?

• Identify the center of dilation

• Calculate the area of the image

• Determine the type of transformation

• Choose a pair of points

How can you verify the scale factor in a dilation?

• By identifying the center of dilation

• By using the distance formula

• By checking if the scale factor works for all points

• By calculating the area of the pre-image

What is the benefit of using a formula to find the scale factor?

• It simplifies the process

• It is more accurate

• It is faster

• It is the only method