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 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, meaning their corresponding angles are equal and their corresponding sides are in proportion.

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding sides?

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.

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.

Front

How do you find a missing side in similar figures?

Back

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

Front

What is the formula for finding the area of similar figures?

Back

The area of similar figures is proportional to the square of the scale factor.

Front

If the scale factor of two similar triangles is 3:2, what is the ratio of their areas?

Back

The ratio of their areas is 9:4, since (3^2):(2^2) = 9:4.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

How can proportions be used in real-life situations?

Back

Proportions can be used in various real-life situations such as cooking, map reading, and scaling models.