Scale Factor

Front

What is the scale factor?

Back

The scale factor is a number that scales, or multiplies, some quantity. It is the ratio of the dimensions of a scaled figure to the dimensions of the original figure.

Front

How do you find the scale factor from one figure to another?

Back

To find the scale factor, divide the length of a side of the new figure by the length of the corresponding side of the original figure.

Front

If the scale factor is 1/2, what does that mean?

Back

It means that the new figure is half the size of the original figure.

Front

What is the scale factor from ΔDEF to ΔABC if the sides of ΔDEF are half the length of the sides of ΔABC?

Back

1/2

Front

If the scale factor is 3, what is the relationship between the original and the new figure?

Back

The new figure is three times larger than the original figure.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size, and their corresponding sides are in proportion.

Front

If the scale factor is 4, and the original length is 6 m, what is the new length?

Back

24 m (6 m x 4 = 24 m).

Front

What is a scaled copy?

Back

A scaled copy is a figure that is the same shape as another figure but is a different size, created using a scale factor.

Front

If Figure B is a scaled copy of Figure A, what can you say about their angles?

Back

All corresponding angles in similar figures are equal.

Front

What is the scale factor if the original figure has a length of 10 cm and the new figure has a length of 5 cm?

Back

1/2 (5 cm / 10 cm = 1/2).