Exploring Algebraic Representations of Dilations

This video tutorial covers the concept of dilations using algebraic expressions, focusing on enlargements and reductions with the center of dilation at the origin. It explains how to use scale factors to determine the size change of figures and provides examples of both enlargement and reduction. The tutorial also includes graphing instructions and practice problems to reinforce learning.

What happens when the scale factor is greater than one?

• The scale factor has no effect.

• The figure undergoes an enlargement.

• The figure undergoes a reduction.

• The figure remains unchanged.

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

• The figure undergoes an enlargement.

• The scale factor is invalid.

• The figure remains the same size.

• The figure undergoes a reduction.

How does a scale factor of 1 affect the figure?

• It causes an enlargement.

• It rotates the figure.

• It causes a reduction.

• It leaves the figure unchanged.

What is the effect of a scale factor less than 0 on a figure?

• It causes a reduction.

• It causes a reflection.

• It is not considered in this lesson.

• It causes an enlargement.

How do you perform a dilation with a scale factor of 3 on a point (x, y)?

• Multiply x by 3 and y by 3.

• Add 3 to both x and y.

• Divide x and y by 3.

• Subtract 3 from both x and y.

What is the new coordinate after applying a scale factor of 1/2 to the point (2, -1)?

• (4, -2)

• (0.5, -0.5)

• (1, -1)

• (1, -0.5)

After a dilation with a scale factor of 0.5, what happens to the size of the figure?

• It becomes four times smaller.

• It reduces to half its size.

• It remains the same.

• It doubles in size.

Where is the center of dilation located when performing dilations in this lesson?

• At the origin (0,0)

• At the point (1,1)

• Outside the original image

• It varies depending on the dilation

What is the rule for performing a dilation with a scale factor of 5?

• Add 5 to each coordinate.

• Divide each coordinate by 5.

• Subtract 5 from each coordinate.

• Multiply each coordinate by 5.

What is the new coordinate of point A after a dilation with a scale factor of 1/3?

• (3, 3)

• It remains the same.

• Cannot be determined without the original coordinates.

• (1/3, 1/3)