Dilation and Scale Factor Concepts

The video tutorial explains how to perform a dilation on a coordinate plane, focusing on centering the dilation at the point (9, -9) and using a scale factor of 3. It demonstrates the process of calculating new coordinates for points, such as point A, by making them three times further from the center of dilation. The tutorial also verifies the dilation by checking the new positions of points and ensuring they are correctly scaled. The video concludes by mapping other points, like point E, and confirming their new positions relative to the center of dilation.

What is the center of dilation in this example?

• (0, 0)

• (9, -9)

• (3, 3)

• (-9, 9)

What is the scale factor used for the dilation?

• 5

• 3

• 2

• 4

Why is it important to center the dilation tool correctly?

• To keep the shape's color

• To ensure the shape is rotated

• To maintain the correct scale factor

• To change the shape's orientation

What is the original x-coordinate of point A?

• -6

• 9

• 4

• 0

After dilation, what is the new x-coordinate of point A?

• 0

• -6

• 9

• 4

What is the original y-coordinate of point A?

• 9

• -3

• 0

• 6

After dilation, what is the new y-coordinate of point A?

• 9

• 6

• -3

• 0

What is the new position of point E after dilation?

• (-3, -6)

• (-6, -3)

• (3, 6)

• (6, 3)

How much further is point E from the center after dilation?

• 2 times further

• 3 times further

• 5 times further

• 4 times further

What is the significance of the scale factor in dilation?

• It determines the rotation angle

• It defines the distance increase from the center

• It changes the color of the shape

• It affects the shape's orientation