Which statement is true? Seven diagonals can be drawn from each vertex of a nonagon. Two diagonals can be drawn from each vertex of a quadrilateral. Two diagonals can be drawn from each vertex of a pentagon.

Let's analyze each statement based on the properties of polygons and their diagonals. 1. **Seven diagonals from each vertex of a nonagon:** - A **nonagon** is a 9-sided polygon. - The number of diagonals from each vertex of an *n*-gon is given by **n - 3** (since you cannot draw a diagonal to itself or its two adjacent vertices). - For a nonagon: 9 - 3 = **6 diagonals** per vertex. - **This statement is false.** 2. **Two diagonals from each vertex of a quadrilateral:** - A **quadrilateral** is a 4-sided polygon. - Using the formula: 4 - 3 = **1 diagonal** per vertex. - **This statement is false.** 3. **Two diagonals from each vertex of a pentagon:** - A **pentagon** is a 5-sided polygon. - Using the formula: 5 - 3 = **2 diagonals** per vertex. - **This statement is true.** **Answer:** Only the third statement about the pentagon is true.