Scale Factors in Geometry

In this tutorial, Mr. Mason explains how to determine the scale factor of a dilated shape. He covers the concept of dilation, emphasizing that a scale factor less than one indicates shrinking, while a factor greater than one indicates stretching. The tutorial demonstrates how to calculate the scale factor using corresponding side lengths and points, with examples involving squares, triangles, and rectangles. Mr. Mason also highlights the importance of the center of dilation being the origin for using points. The video concludes with a prompt to subscribe for more math tutorials.

What is the scale factor when a larger square is shrunk to form a smaller square?

• Greater than 1

• Equal to 1

• Less than 1

• Cannot be determined

How do you determine the scale factor using side lengths when shrinking a shape?

• Subtract the smaller side from the larger side

• Add the side lengths

• Divide the smaller side by the larger side

• Divide the larger side by the smaller side

What condition must be met to use corresponding points to find the scale factor?

• The center of dilation must be at any point

• The center of dilation must be the origin

• The shapes must be identical

• The shapes must be different

When stretching a triangle, what should the scale factor be?

• Less than 1

• Greater than 1

• Cannot be determined

• Equal to 1

How do you find the scale factor using x-values of corresponding points when stretching a triangle?

• Divide the smaller x-value by the larger x-value

• Divide the larger x-value by the smaller x-value

• Add the x-values

• Subtract the smaller x-value from the larger x-value

What is the scale factor when a larger rectangle is shrunk to form a smaller rectangle?

• Equal to 1

• Cannot be determined

• Greater than 1

• Less than 1

How do you determine the scale factor using y-values of corresponding points when shrinking a rectangle?

• Subtract the smaller y-value from the larger y-value

• Add the y-values

• Divide the smaller y-value by the larger y-value

• Divide the larger y-value by the smaller y-value

When stretching a triangle again, what should the scale factor be?

• Less than 1

• Equal to 1

• Greater than 1

• Cannot be determined

How do you find the scale factor using y-values of corresponding points when stretching a triangle?

• Subtract the smaller y-value from the larger y-value

• Divide the smaller y-value by the larger y-value

• Add the y-values

• Divide the larger y-value by the smaller y-value

In the final example, what is the scale factor when stretching a smaller triangle to form a larger triangle?

• 1

• 2

• 3

• 4