Dilation and Scale Factor Concepts

The video tutorial explains how to perform dilations in geometry from a center that is not the origin. It uses an example of dilating triangle ABC with a scale factor of 3 from a new center at (2,-2). The process involves plotting the original figure, identifying the new center of dilation, and using a graphical approach to find the coordinates of the dilated image. The tutorial emphasizes that unlike dilations from the origin, this method requires a visual approach rather than a straightforward calculation.

What is the main focus of this video tutorial?

• Reflections over the x-axis

• Translations of shapes

• Dilations from the origin

• Dilations from a non-origin center

In the example discussed, which shape is being dilated?

• Triangle

• Circle

• Rectangle

• Square

What is the scale factor used in the example?

• 2

• 3

• 5

• 4

Where is the center of dilation located in the example?

• (3,3)

• (2,-2)

• (1,1)

• (0,0)

Why can't we use a simple multiplication algorithm for this dilation?

• The scale factor is too large

• The center of dilation is not the origin

• The shape is irregular

• The graph is not visible

What is the first step in determining the new coordinates from the graph?

• Identify the center of dilation

• Plot the original shape

• Calculate the distance from the origin

• Multiply coordinates by the scale factor

What is the initial movement from the center of dilation to point A?

• Down two and over two

• Up one and over one

• Up two and over two

• Down one and over one