11. Suppose Melissa redrew the shape by turning it on its side. Would this change the names of the quadrilaterals she used? Explain.

To determine whether turning a quadrilateral on its side changes its name, we need to consider the properties that define different types of quadrilaterals. 1. **Types of Quadrilaterals**: The main types of quadrilaterals include: - Square - Rectangle - Rhombus - Parallelogram - Trapezoid (or trapezium) - Kite 2. **Properties**: Each type of quadrilateral has specific properties: - A **square** has four equal sides and four right angles. - A **rectangle** has opposite sides equal and four right angles. - A **rhombus** has four equal sides but does not necessarily have right angles. - A **parallelogram** has opposite sides that are equal and parallel. - A **trapezoid** has at least one pair of parallel sides. - A **kite** has two pairs of adjacent sides that are equal. 3. **Effect of Rotation**: When a quadrilateral is turned on its side (rotated), its shape and the lengths of its sides do not change. Therefore, the properties that define the type of quadrilateral remain the same. 4. **Conclusion**: Since the defining properties of the quadrilateral do not change when it is rotated, the name of the quadrilateral remains the same. For example, a rectangle turned on its side is still a rectangle, and a square turned on its side is still a square. In summary, turning a quadrilateral on its side does not change its name because the fundamental properties that define the type of quadrilateral remain unchanged.