Geo A_HW_Similar Figures with Ratios & Proportions

Front

What is the definition of similar figures?

Back

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

Front

What does the term 'ratio' mean in mathematics?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second. It is often expressed as 'a:b'.

Front

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

Back

The corresponding angles of similar figures are equal.

Front

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

Back

The scale factor is found by dividing the length of a side of one figure by the length of the corresponding side of the other figure.

Front

In a ratio of 3:5, if there are 15 red fish, how many blue fish are there?

Back

25 blue fish.

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of the corresponding sides of similar triangles are in proportion.

Front

If triangle ABC is similar to triangle DEF, and AB = 6, DE = 9, what is the ratio of AB to DE?

Back

The ratio of AB to DE is 2:3.

Front

What is a proportion?

Back

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

Front

If the ratio of two quantities is 4:7 and the total quantity is 88, what is the value of the first quantity?

Back

The first quantity is 32.

Front

How do you set up a proportion to solve for an unknown?

Back

You can set up a proportion by creating a fraction for each ratio and then cross-multiplying to solve for the unknown.