Dilation Techniques on the Coordinate Plane

This tutorial explains the concept of dilation on a coordinate plane, focusing on how to enlarge or reduce the size of an object using a scale factor. It covers two examples: one where the center of dilation is the origin, and another where it is a different point. The tutorial emphasizes that a scale factor greater than 1 enlarges the object, while a factor less than 1 reduces it. It also highlights that the dilated image remains similar to the original and that corresponding points should align with the center of dilation.

What does it mean to dilate an object on the coordinate plane?

• To rotate the object

• To enlarge or reduce the size of the object

• To move the object to a different location

• To change the color of the object

What does a scale factor greater than 1 indicate?

• The object will increase in size

• The object will decrease in size

• The object will change shape

• The object will remain the same size

Where do all lines connecting corresponding points of the original and dilated figures meet?

• At the edge of the coordinate plane

• At the midpoint of the lines

• At the center of dilation

• At the origin

What is the center of dilation in the first example?

• Point C

• The origin

• Point B

• Point A

How do you find the new coordinates when the center of dilation is the origin and the scale factor is 2?

• Add 2 to each coordinate

• Subtract 2 from each coordinate

• Multiply each coordinate by 2

• Divide each coordinate by 2

What happens to the distances from the origin to the points of the dilated object when the scale factor is 2?

• They are halved

• They remain the same

• They are doubled

• They are tripled

What is the scale factor in the second example?

• 1

• 2

• 1/2

• 3

How do you find the new distance from the center of dilation to a point when the scale factor is 1/2?

• Double the original distance

• Keep the original distance

• Halve the original distance

• Triple the original distance

What is true about the corresponding sides of the original and dilated figures?

• They intersect at the origin

• They are parallel

• They are perpendicular

• They are of different lengths

What should you notice about the lines drawn through corresponding points of the original and dilated figures?

• They should be curved

• They should be parallel

• They should meet at the center of dilation

• They should be perpendicular