Chapter 6.1 Ratios and Proportions 2024

Front

What is a ratio?

Back

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

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

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 and then solve for the unknown variable.

Front

What is the perimeter of a rectangle?

Back

The perimeter of a rectangle is the sum of all its sides, calculated as P = 2(length + width).

Front

If the ratio of length to width of a rectangle is 10:1, what does this mean?

Back

It means that for every 10 units of length, there is 1 unit of width.

Front

How do you find the dimensions of a rectangle given its perimeter and the ratio of its sides?

Back

Set up equations based on the perimeter and the ratio, then solve for the dimensions.

Front

What is the extended ratio?

Back

An extended ratio compares three or more quantities, expressed in the form a:b:c.

Front

How do you find the angles of a triangle given their extended ratio?

Back

Add the parts of the ratio to find the total, then divide 180° by the total to find the value of one part.

Front

What is the greatest common divisor (GCD)?

Back

The GCD is the largest number that divides two or more numbers without leaving a remainder.