Geometry Unit 6 Lesson 1 Ratio 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 for a missing value in a proportion?

Back

Cross-multiply the ratios and solve for the unknown value.

Front

What is the formula for finding the ratio of two numbers?

Back

The ratio of two numbers a and b is found using the formula a:b or a/b.

Front

If 2/3 = x/12, what is the value of x?

Back

x = 8, found by cross-multiplying.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, and vice versa, as they both represent a comparison of quantities.

Front

How can you simplify a ratio?

Back

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

Front

What is a scale factor in geometry?

Back

A scale factor is a number that scales, or multiplies, a quantity, often used in similar figures.

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The ratios of the lengths of their corresponding sides are equal.

Front

What is the cross-multiplication method?

Back

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one ratio by the denominator of the other.