Dilation and Scale Factors in Geometry

This video tutorial teaches how to graph an image after a dilation using coordinates. It explains the concept of scale factor, which is used to enlarge or reduce figures. Examples are provided for dilations with scale factors of two and three, as well as a reduction with a scale factor of one-half. The tutorial demonstrates how to calculate new coordinates for dilated images and emphasizes that dilated images are similar but not congruent to their pre-images.

What is the effect of a scale factor greater than 1 on a figure?

• It reduces the figure.

• It enlarges the figure.

• It keeps the figure the same size.

• It changes the shape of the figure.

If a scale factor is between 0 and 1, what happens to the figure?

• The figure remains unchanged.

• The figure becomes distorted.

• The figure is reduced.

• The figure is enlarged.

How do you calculate the new side lengths of a figure with a scale factor of 2?

• Divide the original side lengths by 2.

• Multiply the original side lengths by 2.

• Add 2 to the original side lengths.

• Subtract 2 from the original side lengths.

What are the new coordinates of point A (0, 0) after a dilation with a scale factor of 2?

• (0, 0)

• (2, 2)

• (4, 4)

• (1, 1)

After a dilation with a scale factor of 2, what are the new coordinates of point B (2, 0)?

• (0, 2)

• (4, 0)

• (2, 0)

• (4, 2)

What is the result of multiplying the coordinates of point C (-1, 1) by a scale factor of 3?

• (-1, 1)

• (-3, 3)

• (-2, 2)

• (-4, 4)

What happens to a figure when a scale factor of 1/2 is applied?

• The figure remains the same size.

• The figure is reduced.

• The figure is enlarged.

• The figure is distorted.

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

• (-2, -2)

• (-4, -4)

• (-8, -8)

• (0, 0)

If point B is at (2, -4), what are its new coordinates after a scale factor of 1/2?

• (0, 0)

• (2, -4)

• (4, -8)

• (1, -2)

What is the relationship between the pre-image and the image after dilation?

• They are completely different.

• They are congruent.

• They are similar but not congruent.

• They are identical.