Dilation and Coordinate Transformations

The video tutorial covers the concept of dilations in geometry, explaining how scale factors greater than one result in enlargements, while those less than one lead to reductions. Two examples are provided: one with a scale factor of 3, enlarging a figure, and another with a scale factor of 1/3, reducing a figure. The tutorial includes step-by-step graphing instructions and algebraic rules for each example.

What happens to a figure when it undergoes a dilation with a scale factor greater than one?

• It becomes larger.

• It remains the same size.

• It becomes smaller.

• It changes shape.

If a figure is dilated with a scale factor of 1/5, what is the result?

• The figure becomes five times larger.

• The figure becomes five times smaller.

• The figure remains unchanged.

• The figure changes shape.

In Example 1, what is the new coordinate of point A after dilation with a scale factor of 3?

• (3, 3)

• (3, 9)

• (1, 1)

• (9, 3)

What is the new coordinate of point B in Example 1 after dilation?

• (3, 1)

• (1, 3)

• (9, 3)

• (3, 9)

How does the graph of triangle ABC change after dilation with a scale factor of 3?

• It remains the same size.

• It changes shape.

• It becomes larger.

• It becomes smaller.

In Example 2, what is the new coordinate of point X after dilation with a scale factor of 1/3?

• (1, 1)

• (9, 9)

• (3, 3)

• (1, 3)

What is the new coordinate of point Y in Example 2 after dilation?

• (3, 3)

• (9, 9)

• (1, 1)

• (1, 3)

How does the graph of triangle XYZ change after dilation with a scale factor of 1/3?

• It becomes larger.

• It remains the same size.

• It becomes smaller.

• It changes shape.

What is the algebraic rule for a dilation with a scale factor of 1/3?

• Add 3 to each coordinate.

• Subtract 1/3 from each coordinate.

• Multiply each coordinate by 1/3.

• Multiply each coordinate by 3.

What is the new coordinate of point Z in Example 2 after dilation?

• (3, 3)

• (1, 1)

• (1, 3)

• (3, 9)