Understanding Scale Factors in Geometry

The video tutorial explains how to determine the scale factor between two figures and use it to find unknown side lengths. It provides two examples: one with a scale factor of 1.25 and another with a scale factor of 5/2. The instructor guides through the process of identifying corresponding sides and applying the scale factor to solve for x.

What does it mean when figure A is a scaled copy of figure B?

• Figure A is unrelated to figure B.

• Figure A has different angles than figure B.

• Figure A is a larger or smaller version of figure B.

• Figure A is identical to figure B.

If figure B is a scaled copy of figure A, what can be said about their relationship?

• They have different shapes.

• They have a common scale factor.

• They are identical in size.

• They have no common scale factor.

How do you find the scale factor between two corresponding sides of figures?

• By adding the lengths of the sides.

• By multiplying the lengths of the sides.

• By dividing the length of one side by the other.

• By subtracting the lengths of the sides.

In the first example, what is the scale factor used to go from 10 to 12.5?

• 1.25

• 1.5

• 2.0

• 0.75

What is the length of the side corresponding to 16 in figure B using the scale factor 1.25?

• 18

• 20

• 22

• 24

In the second example, what scale factor is used to create figure A from figure B?

• 5/2

• 1/2

• 2/5

• 3/2

What is the value of x when using a scale factor of 5/2 to go from 5 to x?

• 15

• 12.5

• 10

• 25

How can 25/2 be expressed as a decimal?

• 11.5

• 12.5

• 13.5

• 10.5

What is the final length of the side in figure A in the second example?

• 15

• 12.5

• 20

• 10

What is the importance of using a scale factor in geometry?

• To change the shape of a figure.

• To find the area of a figure.

• To determine the color of a figure.

• To create a proportional copy of a figure.