Solve Word Problems by Doing Dilations

This video tutorial teaches how to solve word problems involving dilations using various scale factors. It covers the concept of dilation, where a preimage is transformed into an image using a scale factor and a center of dilation. Examples include enlarging a play ticket and comparing the dimensions of a tennis court and a table tennis table to determine if one is a dilation of the other. The tutorial also includes a problem involving a photographic enlarger, demonstrating how to calculate the necessary adjustments for proper dilation.

What is the role of the center of dilation in a transformation?

• It determines the color of the image.

• It is the midpoint of the preimage.

• It is the point from which the image is enlarged or reduced.

• It changes the shape of the image.

In the context of dilation, what does a scale factor greater than 1 indicate?

• The image is inverted.

• The image is reduced.

• The image is enlarged.

• The image remains the same size.

If a play ticket is enlarged by 300%, what is the scale factor used?

• 2

• 1

• 4

• 3

How do you determine if a table tennis table is a dilation of a tennis court?

• By comparing the colors of both tables.

• By comparing the materials used.

• By measuring the height of both tables.

• By checking if the length and width ratios are equal.

What must be true for two objects to be considered dilations of each other?

• They must be made of the same material.

• Their corresponding side lengths must have equal ratios.

• They must have the same area.

• They must have the same color.

What is the scale factor if the length of the image is 227.5 millimeters and the preimage is 35 millimeters?

• 5.5

• 6.5

• 7.5

• 8.5

How do you calculate the new distance in a photographic enlarger setup?

• By adding the original distance to the scale factor.

• By subtracting the scale factor from the original distance.

• By multiplying the original distance by the scale factor.

• By dividing the original distance by the scale factor.