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

If two figures are similar, what does that imply about their corresponding angles?

Back

The corresponding angles of similar figures are congruent.

Front

If ABCDE ∼ GHJDF, then which angles are congruent?

Back

∠B is congruent to ∠H.

Front

How do you simplify the ratio of boys to girls in a class with 15 boys and 20 girls?

Back

The boy:girl ratio in simplest form is 3:4.

Front

What is the cross-multiplication method used for in proportions?

Back

Cross-multiplication is used to solve proportions by multiplying the means and extremes.

Front

Back

x = 6.

Front

What is the missing side in similar figures if the ratio of corresponding sides is 1:3?

Back

If the ratio is 1:3, the missing side can be found using the scale factor.

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 (GCD).

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities.