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 a dilation in the context of geometry?

What is the relationship between the lengths of the corresponding sides of the preimage and the image in a dilation?

How do you determine the scale factor when enlarging an image?

If a play ticket stub is enlarged by 300%, what will be the dimensions of the enlarged image?

Explain how to determine if a table tennis table is a dilation of a tennis court based on their dimensions.

How do you calculate the distance KK prime for an enlarger to create a specific width?

What steps would you take to solve a word problem involving dilations?