Exploring Dilations on a Coordinate Plane

The video tutorial covers the concept of dilations on a coordinate plane, explaining how scale factors affect the size of figures. It includes examples of dilating figures with different scale factors, demonstrating both enlargement and reduction. The tutorial also discusses how to find the scale factor using coordinates and compares the properties of preimage and image, such as congruence and orientation.

What happens to a figure when the scale factor is greater than one?

• The figure remains unchanged.

• The figure becomes larger.

• The figure becomes smaller.

• The figure rotates.

How can a scale factor be expressed?

• Only as a fraction.

• Only as a percent.

• Only as a decimal.

• As a fraction, decimal, or percent.

What is the result of dilating a figure by a scale factor of 1/3?

• Translation

• Reduction

• Rotation

• Enlargement

What algebraic rule represents a dilation by a scale factor of 1/3?

• X + Y

• 1/3 + (X, Y)

• 3 * (X, Y)

• 1/3 * (X, Y)

What type of dilation occurs with a scale factor of 3/2?

• Enlargement

• Rotation

• Translation

• Reduction

What remains unchanged during a dilation?

• The figure's color.

• The figure's orientation.

• The figure's perimeter.

• The figure's area.

How do you find the scale factor between two figures?

• By adding their areas.

• By multiplying their perimeters.

• By dividing the new size by the original size.

• By subtracting their volumes.

What does a scale factor of 1/2 indicate?

• The figure increases by half.

• The figure doubles in size.

• The figure remains the same size.

• The figure reduces to half its size.

How can the scale factor be determined using coordinates?

• By multiplying the coordinates.

• By adding the coordinates.

• By dividing the new coordinates by the original coordinates.

• By subtracting the original coordinates from the new coordinates.

What does a scale factor less than 1 result in?

• A reduction

• A translation

• An enlargement

• A rotation