Dilation and Scale Factor Concepts

The video tutorial reviews the concept of scale factor and dilations in geometry. It explains that the scale factor is a fraction of the new measurement over the original. The tutorial uses examples of rectangles and ordered pairs to demonstrate how to calculate the scale factor. It also covers dilations centered at the origin, showing how to determine the scale factor needed to transform points to their new locations.

What is the scale factor in a dilation?

• The difference between the original and the new

• The sum of the original and the new

• The ratio of the new to the original

• The ratio of the original to the new

How can you calculate the scale factor using side lengths?

• By adding the side lengths of the new and original

• By subtracting the side lengths of the original from the new

• By multiplying the side lengths of the new and original

• By dividing the side length of the new by the original

What is the scale factor if the side length of the new rectangle is 9 and the original is 3?

• 4

• 3

• 2

• 1

How can ordered pairs be used to find the scale factor?

• By adding the x-coordinates of the new and original

• By multiplying the x-coordinates of the new and original

• By subtracting the x-coordinates of the original from the new

• By dividing the x-coordinate of the new by the original

What happens to the coordinates of a rectangle when a scale factor of 3 is applied?

• They are divided by 3

• They are added to 3

• They remain the same

• They are multiplied by 3

What is the center of dilation in eighth-grade problems?

• The endpoint

• The midpoint

• The vertex

• The origin

What is the effect of a dilation centered at the origin on a line segment?

• It shifts the line segment

• It reflects the line segment

• It rotates the line segment

• It scales the line segment

What is the scale factor if a point (8, 3) becomes (12, 4.5) after dilation?

• 1

• 1.5

• 2

• 2.5

Which scale factor would make a shape smaller?

• 2

• 1.5

• 3

• 0.5

What is the result of multiplying a point by a scale factor of 2.5?

• The point is increased by 2.5 times

• The point remains unchanged

• The point is halved

• The point is doubled