Dilation of Triangle ABC

The video tutorial explains how to perform a dilation on triangle ABC with center P and a scale factor of 1/4. It guides through the process of calculating the new positions of points A, B, and C by reducing their distances from the center P by a factor of 1/4. The tutorial emphasizes understanding the concept of dilation in both x and y dimensions and provides a step-by-step approach to achieve the transformation.

What is the center of dilation for triangle ABC?

• Point A

• Point P

• Point B

• Point C

What is the scale factor used in the dilation of triangle ABC?

• 1/5

• 1/2

• 1/4

• 1/3

How far does point A move in the x-direction after dilation?

• 1 unit to the right

• 3 units to the right

• 2 units to the right

• 4 units to the right

How far does point A move in the y-direction after dilation?

• 1 unit down

• 4 units down

• 2 units down

• 3 units down

How far does point B move in the y-direction after dilation?

• 4 units up

• 3 units up

• 1 unit up

• 2 units up

How far does point B move in the x-direction after dilation?

• 4 units to the left

• 3 units to the left

• 2 units to the left

• 1 unit to the left

How far does point C move in the x-direction after dilation?

• 1 unit to the left

• 2 units to the left

• 3 units to the left

• 4 units to the left

How far does point C move in the y-direction after dilation?

• 3 units up

• 4 units up

• 2 units up

• 1 unit up

What is the final position of point A after dilation?

• 1 right, 1 down

• 2 right, 2 down

• 4 right, 4 down

• 3 right, 3 down

What is the final position of point B after dilation?

• 2 up, 1 left

• 5 up, 4 left

• 4 up, 3 left

• 3 up, 2 left