Dilation Scale Factor Examples Explained

The video tutorial explains the concept of dilation in geometry, focusing on how to determine the scale factor. It uses examples involving pentagons and triangles to illustrate how distances between corresponding points change according to the scale factor. The tutorial also covers how to solve problems when the center of dilation is not provided and when diagrams are missing, emphasizing the relationship between original and image lengths.

What is the scale factor of the dilation if the length changes from 6 to 2?

• 2/3

• 1/2

• 1/3

• 3/2

What happens to the distance between corresponding points during a dilation?

• It doubles

• It remains the same

• It changes according to the scale factor

• It halves

What is the scale factor if the original length is 6 and the new length is 2?

• 2/3

• 1/3

• 3/2

• 1/2

If the change in y is -3 and the change in x is 3, what is the scale factor if the new changes are -1 and 1 respectively?

• 3/2

• 2/3

• 1/2

• 1/3

How do changes in y and x scale during a dilation?

• They remain the same

• They scale differently

• They become zero

• They scale according to the scale factor

If the change in y is -3 and the change in x is 3, what is the new change in y if the scale factor is 1/3?

• -3

• -1

• 1

• 3

Given a scale factor of 5/2, what is the new length of a segment originally 2 units long?

• 2 units

• 4 units

• 5 units

• 10 units

What is the length of segment AE if the scale factor is 5/2 and the length of A'E' is 5?

• 10

• 4

• 2

• 5

If the scale factor is 2 and the length of the image segment is 8, what is the length of the original segment?

• 4

• 8

• 6

• 2

If the length of segment A'B' is 8 and the scale factor is 2, what is the length of segment AB?

• 2

• 4

• 8

• 6