Drawing Images of Dilation with Different Centers and Scale Factors

The video tutorial explains the concept of dilation in geometry, focusing on how to draw an image of dilation using a center of dilation and a scale factor. It provides examples with different scale factors and positions of the center of dilation, illustrating how to calculate the new coordinates of the image. The tutorial also clarifies common misunderstandings about the center of dilation, emphasizing that it can be inside, on, or outside the pre-image.

What is the result of multiplying the coordinates of a pre-image by a scale factor of 2?

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

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

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

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

In a dilation, what is the relationship between the center of dilation and the vertices of the pre-image and image?

• They are always concentric.

• They are always collinear.

• They are always perpendicular.

• They are always parallel.

When the center of dilation is inside the pre-image, what is the effect of a scale factor of 1/2?

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

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

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

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

What happens to the length of a segment in a dilation with a scale factor of 1/2?

• It doubles.

• It halves.

• It remains the same.

• It quadruples.

If the center of dilation is on a vertex of the pre-image, what happens to the image when using a scale factor of 2?

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

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

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

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

How do you determine the position of the image when the center of dilation is outside the pre-image?

• By subtracting the scale factor from the coordinates.

• By adding the scale factor to the coordinates.

• By multiplying the coordinates by the scale factor.

• By dividing the coordinates by the scale factor.

What is a common misunderstanding about the center of dilation?

• It is always outside the pre-image.

• It can be inside, on, or outside the pre-image.

• It is always inside the pre-image.

• It is always on the pre-image.