Understanding Scale Factors in Dilation

The video tutorial explains how to graph a polygon with vertices A, B, and C using the origin as the center of dilation and a scale factor of 1/2. It covers plotting the points, understanding the scale factor, calculating the new image, and graphing the new image. The lesson emphasizes that a scale factor less than one results in a reduction, making the new image smaller than the pre-image. The tutorial concludes with a summary of the key concepts discussed.

What is the initial shape of the polygon formed by the vertices A, B, and C?

• Square

• Triangle

• Rectangle

• Pentagon

What is the role of the origin in the dilation process described?

• It is the endpoint of the polygon.

• It is the vertex of the polygon.

• It is the center of dilation.

• It is the midpoint of the polygon.

How does a scale factor of 1/2 affect the size of the image compared to the pre-image?

• The image is the same size as the pre-image.

• The image is three times the size of the pre-image.

• The image is twice as large as the pre-image.

• The image is half the size of the pre-image.

If the pre-image is larger than the image, what can be inferred about the scale factor?

• The scale factor is equal to one.

• The scale factor is less than one.

• The scale factor is negative.

• The scale factor is greater than one.

What is the new position of point A after applying the scale factor?

• (2, -4)

• (0.5, -1)

• (3, -1)

• (1, -2)

How is the new position of point C determined after dilation?

• By doubling the original coordinates.

• By halving the original coordinates.

• By adding 1 to each coordinate.

• By subtracting 1 from each coordinate.

What is the slope used to determine the new position of point B?

• Up 1, left 6

• Up 1, right 6

• Down 1, left 6

• Down 1, right 6

What happens to the polygon when the scale factor is less than one?

• It becomes smaller.

• It becomes larger.

• It remains the same size.

• It disappears.

What is the effect of a scale factor greater than one on the image?

• The image remains the same size.

• The image becomes larger.

• The image becomes smaller.

• The image becomes a different shape.

What is the key takeaway regarding scale factors and image size?

• Scale factors less than one reduce image size.

• Scale factors less than one enlarge image size.

• Scale factors greater than one reduce image size.

• Scale factors do not affect image size.