5. DIG DEEPER Can a trapezoid have two lines of symmetry? Explain.

A trapezoid can have at most one line of symmetry. ### Explanation: 1. **Definition of a Trapezoid**: A trapezoid is a four-sided figure (quadrilateral) with at least one pair of parallel sides. The parallel sides are referred to as the bases of the trapezoid. 2. **Lines of Symmetry**: A line of symmetry is a line that divides a shape into two identical halves that are mirror images of each other. 3. **Types of Trapezoids**: - **Isosceles Trapezoid**: This type of trapezoid has non-parallel sides that are equal in length. An isosceles trapezoid has one line of symmetry that runs vertically through the midpoint of the bases. - **Scalene Trapezoid**: This type has no sides of equal length and does not have any lines of symmetry. 4. **Conclusion**: Since the only type of trapezoid that can have a line of symmetry is the isosceles trapezoid, and it only has one line of symmetry, a trapezoid cannot have two lines of symmetry. Thus, the answer is that a trapezoid cannot have two lines of symmetry.