Subjects geometry

Lines Of Symmetry B6D715

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. Let's analyze the lines of symmetry (LoS) for each shape based on their properties and descriptions. 2. **Square:** Has 4 equal sides and right angles. It has symmetry lines through midpoints of opposite sides and diagonals. - LoS = 4 3. **Rectangle:** Opposite sides equal and right angles. Symmetry lines through vertical and horizontal midpoints. - LoS = 2 4. **Rhombus:** All sides equal but no right angles. Symmetry lines along the diagonals. - LoS = 2 5. **Parallelogram:** Opposite sides parallel and equal, no right angles. Symmetry lines through midpoints along slanting axes. - LoS = 0 (parallelograms generally have no lines of symmetry unless they are rectangles or rhombuses) 6. **Trapezoid:** One pair of parallel sides, vertical symmetry line. - LoS = 1 7. **Trapezium (US):** Irregular with no symmetry lines. - LoS = 0 Final answers: - Square LoS: 4 - Rectangle LoS: 2 - Rhombus LoS: 2 - Parallelogram LoS: 0 - Trapezoid LoS: 1 - Trapezium LoS: 0