Writing Rules for Dilation in Geometry

The video tutorial explains how to write a rule for a dilation centered at the origin with a scale factor of 2/3. It demonstrates the process by comparing the original and dilated figures, showing how to apply the dilation rule by multiplying coordinates by the scale factor. The tutorial concludes with a general rule for dilation, emphasizing that the rule varies with different scale factors.

What is the main task described in the problem?

• To find the area of a triangle

• To determine the volume of a shape

• To write a rule that describes a dilation

• To calculate the perimeter of a figure

What are the names of the figures involved in the dilation?

• P, Q, R and P', Q', R'

• X, Y, Z and X', Y', Z'

• A, B, C and A', B', C'

• L, M, N and L', M', N'

What is the scale factor of the dilation?

• 1/3

• 2/3

• 3/4

• 1/2

What are the coordinates of point A before and after dilation?

• (1, 2) and (2, 3)

• (3, 6) and (2, 4)

• (6, -9) and (4, -6)

• (-12, -3) and (-8, -2)

How do you determine the new coordinates after dilation?

• Add the scale factor to the coordinates

• Subtract the scale factor from the coordinates

• Multiply the coordinates by the scale factor

• Divide the coordinates by the scale factor

What is the new coordinate of point B after dilation?

• (-8, -2)

• (4, -6)

• (3, 6)

• (2, 4)

What is the general form of the rule for dilation centered at the origin?

• Divide the coordinates by the scale factor

• Subtract the coordinates from the scale factor

• Add the coordinates to the scale factor

• Multiply the coordinates by the scale factor

What happens to the coordinates when the scale factor is 2/3?

• They are multiplied by 2/3

• They are subtracted by 2/3

• They are divided by 2/3

• They are added to 2/3

What is the new coordinate of point C after dilation?

• (2, 4)

• (3, 6)

• (-8, -2)

• (4, -6)