Understanding Scale Factors in Dilations

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 demonstrates how to calculate the scale factor using side lengths and ordered pairs. It also covers dilations centered at the origin and uses a guess-and-check method to find the scale factor for a dilation, emphasizing the importance of understanding these concepts in eighth-grade geometry.

What is the scale factor in a dilation?

• A sum of the new and the original

• A difference between the new and the original

• A fraction of the new over the original

• A ratio of the original over the new

In the problem, which rectangle is considered the 'new' one?

• Rectangle ABCD

• Rectangle XY Prime

• Rectangle ABCD Prime

• Rectangle XY

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 dividing the side length of the new by the original

• By multiplying the side lengths of the new and original

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

• 1

• 4

• 2

• 3

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

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

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

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

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

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

• They are subtracted by 3

• They are multiplied by 3

• They are divided by 3

• They remain the same

What is the center of dilation in the given problem?

• Point C

• Point B

• The origin

• Point A

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

• It translates the segment

• It reflects the segment

• It rotates the segment

• It scales the segment

Which method is used to determine the correct scale factor in the example?

• Elimination

• Guess and check

• Substitution

• Trial and error

What is the correct scale factor to transform the points in the example?

• 1

• 2.5

• 1.5

• 2