Ratios and Proportions - SHS

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

Front

How do you simplify a ratio?

Back

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

Front

What does it mean if two ratios are equivalent?

Back

Two ratios are equivalent if they represent the same relationship between numbers, meaning they can be simplified to the same form.

Front

If the ratio of oranges to apples is 2:3, how many apples are there if there are 10 oranges?

Back

There are 15 apples.

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 divide to find the unknown value.

Front

What is the cross-multiplication method?

Back

The cross-multiplication method involves multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If 4:5 = x:20, what is the value of x?

Back

x = 16.

Front

What is the relationship between the angles in a triangle?

Back

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

Front

If the ratio of the angles in a triangle is 3:4:5, what are the measures of the angles?

Back

The measures of the angles are 45 degrees, 60 degrees, and 75 degrees.