solving proportions/similar figures

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the variable.

Front

What are corresponding sides in similar figures?

Back

Corresponding sides are the sides of two or more similar figures that are in the same relative position.

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures.

Front

If two figures are similar, what can be said about their angles?

Back

The corresponding angles of similar figures are equal.

Front

How do you find a missing side in similar figures?

Back

Set up a proportion using the lengths of the corresponding sides and solve for the missing side.

Front

What is the relationship between the areas of similar figures?

Back

The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding side lengths.

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.

Front

What is the formula for finding the scale factor?

Back

Scale Factor = Length of a side in the new figure / Length of the corresponding side in the original figure.

Front

If the scale factor is 3:2, what does this mean?

Back

It means that for every 3 units in the new figure, there are 2 units in the original figure.