Ratios and Proportions - Geometry

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

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 unknown variable.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but may differ in size, meaning their corresponding angles are equal and their corresponding sides are in proportion.

Front

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

Back

The lengths of their corresponding sides are proportional.

Front

What is the formula for finding the missing side in similar triangles?

Back

If triangle A and triangle B are similar, then (side A1 / side B1) = (side A2 / side B2).

Front

How do you find the number of students per class if there are 88 students in 4 classes?

Back

Divide the total number of students by the number of classes: 88 ÷ 4 = 22 students per class.

Front

What is a similarity statement?

Back

A similarity statement indicates that two figures are similar, using the notation 'ΔABC ~ ΔDEF'.

Front

If x is the missing side in similar triangles, how do you find its value?

Back

Set up a proportion using the known sides and solve for x.

Front

What is the relationship between ratios and fractions?

Back

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