Exploring Scale Factor and Dilation

The video tutorial covers the concept of scale factor and dilations in geometry. It explains how scale factor is a ratio that determines whether a figure enlarges or reduces. The tutorial also describes dilation as a transformation that changes the size of a figure. Several example problems are solved to demonstrate how to apply scale factors to calculate new dimensions of geometric figures. The video concludes with exercises on finding scale factors from given dimensions.

What happens to a figure when the scale factor is greater than one?

• It gets reduced in size.

• It remains the same size.

• It gets enlarged.

• It changes color.

What is the result of a dilation with a scale factor less than one?

• No change to the figure.

• Figure reduces in size.

• Figure enlarges.

• Figure rotates.

How do you calculate the new dimensions of a figure using a scale factor?

• Subtract the scale factor from the original dimensions.

• Add the scale factor to original dimensions.

• Divide the original dimensions by the scale factor.

• Multiply the original dimensions by the scale factor.

What are the new dimensions of a rectangle with original dimensions 35 inches by 15 inches and a scale factor of 2/5?

• 14 inches by 6 inches

• 20 inches by 8 inches

• 17.5 inches by 7.5 inches

• 70 inches by 30 inches

If a rectangle's dimensions are enlarged from 10 by 22 inches to 35 by 77 inches, what is the scale factor used?

• 4.5

• 3.5

• 2.5

• 5.5

What is the scale factor if the original dimensions are 8 inches and 12 inches, and the new dimensions are 10 inches and 15 inches respectively?

• 5/4

• 3/2

• 2/3

• 1/2

What does a scale factor of 5/3 indicate about the transformation of a figure?

• It remains unchanged.

• It is reduced.

• It is rotated.

• It is enlarged.

If a figure's original dimensions are 24 inches and 30 inches, and the scale factor is 5/3, what are the new dimensions?

• 36 inches by 45 inches

• 30 inches by 37.5 inches

• 48 inches by 60 inches

• 40 inches by 50 inches

How do you find the scale factor from given dimensions?

• Divide the new dimensions by the original.

• Multiply the original dimensions by the new.

• Subtract the new dimensions from the original.

• Add the original dimensions to the new.

What is the scale factor if the new dimension is 12 inches and the original is 18 inches?

• 1/2

• 4/5

• 3/4

• 2/3