Dilation and Coordinate Transformations

The video tutorial explains how to perform dilations on a coordinate plane using fractional scale factors. It begins with an introduction to the concept of dilation, emphasizing that a fractional scale factor results in a smaller shape. The tutorial then provides step-by-step instructions for dilating triangle ABC using a scale factor of 2/3, with Point D as the center of dilation. Each point of the triangle is recalculated based on the scale factor, and the new positions are plotted. A second example is provided using a scale factor of 1/2, demonstrating the process again. The video concludes with observations on how each new point is proportionally closer to the center of dilation.

What is the scale factor used to dilate triangle ABC in the first example?

• 2/3

• 3/4

• 1/3

• 1/2

Which point is used as the center of dilation in both examples?

• Point D

• Point C

• Point A

• Point B

How many units does Point A move in the x-direction after dilation in the first example?

• 1 unit

• 4 units

• 3 units

• 2 units

What is the new y-coordinate of Point A after dilation in the first example?

• 12

• 9

• 6

• 3

How many units does Point B move to the right after dilation in the first example?

• 2 units

• 3 units

• 4 units

• 5 units

What is the new y-coordinate of Point B after dilation in the first example?

• 6

• 3

• 9

• 12

How many units does Point C move to the right after dilation in the first example?

• 5 units

• 2 units

• 3 units

• 4 units

What is the new y-coordinate of Point C after dilation in the first example?

• 2

• 3

• 1

• 4

What is the scale factor used in the second example?

• 3/4

• 1/2

• 2/3

• 1/3

How many units does Point A move to the right after dilation in the second example?

• 3 units

• 2.5 units

• 4 units

• 1 unit