Understanding Dilations: Reductions and Enlargements

The video tutorial explains how to determine if a dilation is a reduction or enlargement by identifying the pre-image and image in diagrams. It covers the calculation of scale factors using examples, emphasizing the importance of correct labeling and measurement. The tutorial provides methods to verify calculations and ensure the correct determination of scale factors for both enlargements and reductions.

What is the first step in determining whether a dilation is a reduction or an enlargement?

• Calculating the scale factor

• Identifying the pre-image and image

• Checking the size of the figures

• Measuring the distance between points

In the first example, why is the smaller paperclip identified as the pre-image?

• Because it is the first figure shown

• Because it is labeled with a single letter

• Because it is on the left side

• Because it is smaller

What indicates that the transformation in the first example is an enlargement?

• The pre-image is smaller than the image

• The figures are the same size

• The pre-image is larger than the image

• The labels are different

In the second example, what does the larger paperclip represent?

• The vanishing point

• The midpoint

• The pre-image

• The image

What does a scale factor less than 1 indicate?

• An error in calculation

• No change in size

• An enlargement

• A reduction

How do you calculate the scale factor?

• By subtracting the measurement of the pre-image from the image

• By dividing the measurement of the pre-image by the image

• By dividing the measurement of the image by the pre-image

• By adding the measurements of the pre-image and image

What is the simplified scale factor for a dilation where the image measurement is 12 and the pre-image measurement is 8?

• 1.6

• 1.4

• 1.2

• 1.5

If the scale factor is greater than 1, what type of transformation does it represent?

• Reflection

• No transformation

• Enlargement

• Reduction

What would be the scale factor if the image measurement is 18 and the pre-image measurement is 30?

• 0.6

• 0.7

• 0.8

• 0.5

Why is it important to simplify the fraction when calculating the scale factor?

• To match the units

• To ensure accuracy

• To make the calculation easier

• To avoid errors