Dilation of Figures and Coordinates

The video tutorial explains the concept of dilation on a coordinate plane, assuming the center is at the origin (0,0). It demonstrates how to dilate points by multiplying their coordinates by a given K factor. The tutorial uses points A, B, and C as examples, showing how to calculate their new positions after dilation. It also discusses how the resulting figures are similar in shape but differ in size, depending on the K factor used.

What is assumed to be the center of dilation in this tutorial?

• Point (-1,-1)

• Point (2,2)

• Point (0,0)

• Point (1,1)

How do you apply a dilation factor to a coordinate?

• Add the factor to each coordinate

• Divide each coordinate by the factor

• Subtract the factor from each coordinate

• Multiply each coordinate by the factor

What is the new coordinate of point A (2,3) after dilation with a factor of 2?

• (4,6)

• (1,1.5)

• (6,9)

• (0,0)

What is the new x-coordinate of point B (-3,2) after dilation with a factor of 2?

• -1.5

• -6

• 0

• 3

After dilating point C (-2,4) with a factor of 2, what is the new y-coordinate?

• 8

• 2

• 4

• 0

What remains unchanged in figures after dilation?

• The color of the figure

• The size of the figure

• The angles of the figure

• The coordinates of the figure

What happens to a figure when it is dilated by a fractional factor?

• It changes shape

• It remains the same size

• It becomes larger

• It becomes smaller