4-8 Similar Figures and Proportions

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What does it mean for sides to be proportional?

Back

Sides are proportional when the ratios of the lengths of corresponding sides of two figures are equal.

Front

How can you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

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

If two rectangles are similar, what can you say about their corresponding sides?

Back

The ratios of the lengths of their corresponding sides are equal.

Front

What is a proportion in mathematics?

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, you can cross-multiply and then divide to find the unknown value.

Front

If rectangle ABCD is similar to rectangle DEFG, what is the correct proportion?

Back

Front

What is the formula for finding the length of a side in similar figures?

Back

Front

What is the scale factor?

Back

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