Scale Factor

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. It is used to determine how much larger or smaller a figure is compared to another figure.

Front

If the scale factor is 2, what does that mean for the dimensions of a shape?

Back

It means that each dimension of the shape is multiplied by 2, making the shape twice as large.

Front

From square A to square B, if the side length of square A is 3 cm and the side length of square B is 6 cm, what is the scale factor?

Back

2

Front

What is the formula to find the scale factor from one figure to another?

Back

Scale Factor = New Length / Original Length

Front

If the scale factor is 1/2, what does that indicate about the size of the new figure compared to the original?

Back

The new figure is half the size of the original figure.

Front

Is Figure B a scaled copy of Figure A if the scale factor is 2?

Back

Yes, Figure B is a scaled copy of Figure A.

Front

If the original shape has a perimeter of 12 cm and the new shape has a perimeter of 24 cm, what is the scale factor?

Back

2

Front

What happens to the area of a shape if the scale factor is 3?

Back

The area of the shape increases by a factor of 3^2, which is 9 times larger.

Front

If a triangle has sides of lengths 2 cm, 3 cm, and 4 cm, and is scaled by a factor of 2, what are the new side lengths?

Back

4 cm, 6 cm, and 8 cm.

Front

What is the scale factor if a rectangle's length is doubled and its width remains the same?

Back

The scale factor is 2 for the length, and 1 for the width.