7.1 Ratios and Proportions - Geometry

Front

What is a ratio?

Back

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

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 is the scale in a scale drawing?

Back

The scale is the ratio of a distance on the drawing to the actual distance it represents.

Front

If the ratio of boys to girls is 2:3, how do you find the number of boys and girls if the total is known?

Back

Let the total number of parts be 2 + 3 = 5. Divide the total by 5 to find the value of one part, then multiply by 2 for boys and 3 for girls.

Front

What is the formula to find the actual length from a scale drawing?

Back

Actual Length = (Length in Drawing) * (Actual Scale / Drawing Scale).

Front

How do you maintain proportions when adjusting a recipe?

Back

To maintain proportions, multiply or divide all ingredients by the same factor.

Front

What does it mean if a proportion is undefined?

Back

A proportion is undefined when the denominator equals zero, making it impossible to solve.

Front

How do you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms by their greatest common divisor.

Front

What is the relationship between ratios and fractions?

Back

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