Graphing Dilations Using Coordinates

This lesson teaches how to graph images after dilation using coordinates. It explains the concept of scale factor, showing how a factor greater than 1 enlarges an image, while a factor between 0 and 1 reduces it. The lesson includes examples of graphing dilations with scale factors of 2 and 3, and a reduction with a scale factor of 1/2. Each example demonstrates the proportionality of dilated figures and emphasizes that the resulting image is similar but not congruent to the pre-image.

What happens to a figure when a scale factor greater than 1 is applied?

• The figure is rotated.

• The figure is reduced in size.

• The figure is enlarged.

• The figure remains the same size.

If a triangle's side lengths are 2 and 3, what will be the new side lengths after applying a scale factor of 2?

• 1 and 1.5

• 8 and 12

• 4 and 6

• 2 and 3

When a scale factor of 2 is applied to the point (2, 0), what are the new coordinates?

• (4, 4)

• (0, 4)

• (2, 2)

• (4, 0)

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

• (-3, 3)

• (-1, 3)

• (-3, 1)

• (3, -3)

How does a scale factor of 1/2 affect the size of a figure?

• It triples the size.

• It doubles the size.

• It reduces the size by half.

• It keeps the size the same.

What are the new coordinates of the point (2, -4) after applying a scale factor of 1/2?

• (1, -2)

• (2, -2)

• (0, 0)

• (4, -8)

Which of the following statements is true about dilated figures?

• They are always congruent to the pre-image.

• They are always larger than the pre-image.

• They are similar but not congruent to the pre-image.

• They are always smaller than the pre-image.