Dilation and Scale Factor Concepts

This video tutorial covers the concept of dilations in geometry, explaining how they change the size of objects using a scale factor. It provides examples of enlarging and reducing shapes with specific scale factors and demonstrates how to calculate the scale factor from given shapes.

What is the primary purpose of a dilation in geometry?

• To change the shape of an object

• To change the size of an object

• To change the position of an object

• To change the color of an object

What is a scale factor in the context of dilations?

• A number that changes the color of an object

• A number that changes the position of an object

• A number that changes the shape of an object

• A number that changes the size of an object

If a shape is dilated with a scale factor of 2, what happens to its size?

• It remains the same size

• It becomes half its original size

• It becomes twice its original size

• It becomes three times its original size

What is the new coordinate of point A (0, 3) after a dilation with a scale factor of 2?

• (6, 0)

• (3, 0)

• (0, 6)

• (0, 3)

How do you calculate the new coordinates after a dilation?

• Divide each coordinate by the scale factor

• Multiply each coordinate by the scale factor

• Subtract the scale factor from each coordinate

• Add the scale factor to each coordinate

What happens to an object when it is dilated with a scale factor less than 1?

• It becomes larger

• It changes color

• It becomes smaller

• It changes shape

What is the result of multiplying a coordinate by a scale factor of 1/3?

• The coordinate is divided by 3

• The coordinate is multiplied by 3

• The coordinate remains the same

• The coordinate is added to 3

What is the new coordinate of point B (3, 6) after a dilation with a scale factor of 1/3?

• (1, 2)

• (3, 6)

• (9, 18)

• (2, 1)

How do you find the scale factor when given the original and dilated shapes?

• Add the coordinates of the original shape

• Multiply the coordinates of the original shape by the dilated shape

• Divide the coordinates of the dilated shape by the original shape

• Subtract the coordinates of the dilated shape

If the original coordinate is (6, 4) and the dilated coordinate is (3, 2), what is the scale factor?

• 1/3

• 1/2

• 2

• 3