Ratios and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as 'a:b' or 'a/b'.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal, expressed as 'a/b = c/d'.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply and then divide to find the unknown value.

Front

What is the sum of the angles in a triangle?

Back

The sum of the angles in a triangle is always 180 degrees.

Front

If the angles of a triangle are in the ratio 1:2:3, what are the measures of the angles?

Back

30°, 60°, and 90°.

Front

If the angles of a triangle are in the ratio 3:4:11, what are the measures of the angles?

Back

30°, 40°, and 110°.

Front

What are equivalent ratios?

Back

Equivalent ratios are two or more ratios that express the same relationship between quantities.

Front

How do you find missing values in equivalent ratios?

Back

To find missing values, set up a proportion using the known values and solve for the unknown.

Front

What is the extended ratio?

Back

An extended ratio compares three or more quantities, expressed as 'a:b:c'.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second is the denominator.