Exploring the Center of Dilation

The video tutorial explains how to dilate triangle ABC from a point O with a scale factor of 2. It details the steps to dilate each point of the triangle, starting with point A, followed by points B and C. The tutorial also covers finding the center of dilation and determining the scale factor when the dilated triangle is smaller than the original. The process involves understanding the movement of points and calculating distances to achieve the correct dilation.

What is the initial scale factor used to dilate triangle ABC from point O?

• 1/2

• 2

• 1

• 3

How do you determine the new position of point A after dilation?

• Move it to the right by 2 units

• Move it to the left by 2 units

• Move it up by 2 units

• Move it down by 2 units

What is the new position of point A' after dilation?

• Up 1 unit

• Up 2 units

• Down 1 unit

• Down 2 units

How do you determine the new position of point B after dilation?

• Move down 2 units and over 1 unit

• Move up 2 units and over 1 unit

• Move down 1 unit and over 2 units

• Move up 1 unit and over 2 units

What is the new position of point B' after dilation?

• Up 1 unit and over 1 unit

• Up 2 units and over 2 units

• Up 1 unit and over 2 units

• Up 2 units and over 1 unit

How do you determine the new position of point C after dilation?

• Move down 1 unit and over 2 units

• Move up 2 units and over 1 unit

• Move up 1 unit and over 2 units

• Move down 2 units and over 1 unit

What is the new position of point C' after dilation?

• Down 2 units and over 2 units

• Down 2 units and over 1 unit

• Down 1 unit and over 2 units

• Down 1 unit and over 1 unit

What is the scale factor when triangle ABC is the larger triangle?

• Equal to 0

• Greater than 1

• Equal to 1

• Less than 1

What are the coordinates of the center of dilation?

• (2, 3)

• (3, 2)

• (1, 2)

• (2, 1)

What is the scale factor when the distance from the center to A' is half the distance from the center to A?

• 1

• 1/3

• 2

• 1/2