## Key Concepts

**Property of Similar Triangles**- If \(\text{Δ}ABC\) is similar to \(\text{Δ}XYZ\), then their corresponding angle measures are equal and their corresponding sides are in the same ratio.

**Problem Solving Strategy for Geometry Applications****Read**the problem and make sure all the words and ideas are understood. Draw the figure and label it with the given information.**Identify**what we are looking for.**Name**what we are looking for by choosing a variable to represent it.**Translate**into an equation by writing the appropriate formula or model for the situation. Substitute in the given information.**Solve the equation**using good algebra techniques.**Check**the answer in the problem and make sure it makes sense.**Answer**the question with a complete sentence.

## Glossary

### proportion

A proportion is an equation of the form \(\frac{a}{b}=\frac{c}{d}\), where \(b\ne 0,d\ne 0.\) The proportion is read “\(a\) is to \(b\), as \(c\) is to \(d\text{.}\)”

### similar figures

Two figures are similar if the measures of their corresponding angles are equal and their corresponding sides are in the same ratio.