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 set up a proportion for similar figures?

Back

To set up a proportion for similar figures, you compare the lengths of corresponding sides of the figures.

Front

What does the term 'corresponding sides' refer to in similar figures?

Back

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

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are equal.

Front

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

Back

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

Front

How do you find the missing side length in similar figures?

Back

To find the missing side length, set up a proportion using the lengths of the corresponding sides.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

What does it mean for figures to be similar?

Back

Figures are similar if they have the same shape but not necessarily the same size.

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 scale factor in similar figures?

Back

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