Exploring Dilations and Scale Factors in 8th Grade Math

The video tutorial introduces the concepts of dilations and scale factors, explaining that a scale factor is a ratio between corresponding parts of similar figures. It details how to find a scale factor by dividing the new side length by the original. The tutorial also covers types of dilations, including reduction and enlargement, and provides examples of finding scale factors for different shapes, such as figures, circles, and squares. It concludes with examples where the scale factor is given, and students must calculate new dimensions.

What does a scale factor represent in similar figures?

• The difference in area between the figures

• The ratio of corresponding sides of similar figures

• The sum of the angles in the figures

• The perimeter of the figures

How is a scale factor calculated?

• New length minus original length

• New length divided by original length

• New length plus original length

• Original length divided by new length

What does a dilation transformation do to a figure?

• Changes the shape of the figure

• Alters the angles of the figure

• Produces a similar figure with proportional sides

• Reduces the number of sides in a figure

What type of dilation occurs when the scale factor is greater than 1?

• Reduction

• Translation

• Rotation

• Enlargement

How do you find the scale factor between two figures?

• Multiply the side lengths of the original figure

• Divide the new figure's side length by the original's

• Add the side lengths of the new figure to the original's

• Subtract the side lengths of the figures

If a figure is dilated with a scale factor of 0.5, what type of dilation is it?

• Enlargement

• Reduction

• Rotation

• Translation

A square with side length 4 inches is dilated to a square with side length 2 inches. What is the scale factor?

• 4

• 1

• 0.5

• 2

If a figure's dimensions after dilation are smaller than the original, what can be said about the scale factor?

• It is equal to 1

• It is greater than 1

• It is less than 1

• It cannot be determined

What are the new dimensions of a figure dilated by a scale factor of 3, if the original dimensions were 7 feet by 3.5 feet?

• 14 feet by 7 feet

• 21 feet by 10.5 feet

• 10 feet by 7 feet

• 7 feet by 3.5 feet

When applying a scale factor of 1/2 to a figure, what happens to the figure's dimensions?

• They double

• They are halved

• They remain the same

• They are quadrupled