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 the proportional relationship between two similar figures.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but may differ in size. Their corresponding angles are congruent, and their corresponding sides are in proportion.

Front

If the scale factor is 2, how does the size of the scaled figure compare to the original?

Back

The scaled figure is twice the size of the original figure.

Front

What is the relationship between corresponding angles in similar figures?

Back

All corresponding angles in similar figures are congruent.

Front

If a rectangle has a length of 10 cm and a scale factor of 3, what is the length of the scaled rectangle?

Back

The length of the scaled rectangle is 30 cm.

Front

If the scale factor is 1, what can we say about the original figure and the scaled figure?

Back

The scaled figure is the same as the original figure.

Front

How do you find the scale factor between two similar figures?

Back

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

Front

If a triangle has sides of lengths 3 cm, 4 cm, and 5 cm, and is scaled by a factor of 2, what are the lengths of the sides of the new triangle?

Back

The lengths of the sides of the new triangle are 6 cm, 8 cm, and 10 cm.

Front

What is the scale factor if a rectangle's width is 5 cm and its scaled width is 15 cm?

Back

The scale factor is 3.

Front

In a scale drawing, if the scale factor is 0.5, how does the size of the drawing compare to the original?

Back

The drawing is half the size of the original.