Understanding Dilations in Geometry

The video tutorial introduces the concept of dilations, explaining how they change the size of figures based on scale factors. It covers the difference between enlargements and reductions, provides examples, and demonstrates how to calculate scale factors. The tutorial also explains how dilations apply to coordinates in a plane and how to graph dilated figures.

What is the primary concept of dilation in geometry?

• Changing the color of a figure

• Changing the position of a figure

• Changing the size of a figure

• Changing the shape of a figure

If a scale factor is greater than 1, what type of dilation occurs?

• Translation

• Reflection

• Enlargement

• Reduction

What happens when the scale factor is between 0 and 1?

• The figure is rotated

• The figure is reduced

• The figure is unchanged

• The figure is enlarged

In a dilation example, if the original length is 8 and the new length is 12, what is the scale factor?

• 2/3

• 1/2

• 3/2

• 4/3

How do you determine if a dilation is a reduction?

• The scale factor is greater than 1

• The scale factor is less than 1

• The scale factor is negative

• The scale factor is equal to 1

When applying a scale factor in a coordinate plane, what happens to the coordinates?

• They are added to the scale factor

• They are divided by the scale factor

• They are multiplied by the scale factor

• They remain unchanged

If a point (2, 1) is dilated with a scale factor of 2, what are the new coordinates?

• (0, 0)

• (2, 2)

• (4, 2)

• (1, 0.5)

What is the result of applying a scale factor of 1/3 to the point (3, 6)?

• (9, 18)

• (3, 6)

• (0, 0)

• (1, 2)

Which of the following is true about dilations?

• They change the size but not the shape

• They change the shape of the figure

• They change the color of the figure

• They change the orientation of the figure

What is the scale factor if a dilation results in a figure that is three-fifths the size of the original?

• 1/3

• 3/5

• 3/2

• 5/3