Understanding Scale Factors

The video tutorial explains how to determine the scale factor between two figures, using examples to illustrate the concept. It begins by identifying figure B as a scaled copy of figure A and demonstrates how to calculate the scale factor by comparing corresponding sides. The tutorial then presents another example where a quadrilateral is scaled by a factor less than one, emphasizing the importance of understanding how scale factors affect the dimensions of geometric figures.

What is the scale factor from figure A to figure B if a side of length 2 in figure A corresponds to a side of length 6 in figure B?

• 5

• 3

• 4

• 2

If a side of length 3 in figure A is scaled to a side of length 9 in figure B, what is the scale factor?

• 1

• 2

• 3

• 4

In the new example, if the original side length is 16 and the scale factor is less than one, which of the following could be a possible length of the scaled side?

• 20

• 18

• 14

• 32

What is the key realization when the scale factor is less than one?

• The side length remains the same

• The side length increases

• The side length doubles

• The side length decreases

Which of the following is NOT a possible length for a side scaled by a factor less than one from an original length of 16?

• 14

• 18

• 12

• 10

If a side of 16 units is scaled by a factor of 0.5, what is the new length?

• 24

• 32

• 16

• 8

Which scale factor would result in a side length of 32 units from an original length of 16 units?

• 0.5

• 1

• 2

• 4

If a side length is scaled by a factor of 4, what happens to the length?

• It is halved

• It remains the same

• It is doubled

• It is quadrupled

What scale factor would result in a side length of 64 units from an original length of 16 units?

• 1

• 4

• 0.25

• 2

Which of the following scale factors is less than one?

• 1.5

• 3

• 2

• 0.75