Question
How many lines of symmetry can a rhombus have? How many lines of symmetry can a rhombus that is also a square have?
Answers
GPT-4o mini
A rhombus has 2 lines of symmetry. These lines of symmetry are the diagonals of the rhombus, which bisect each other at right angles.
When a rhombus is also a square, it retains its 2 lines of symmetry (the diagonals) and also has 4 additional lines of symmetry (the vertical and horizontal lines through the midpoints of the opposite sides). Therefore, a square has a total of 8 lines of symmetry. In summary:
- A rhombus has 2 lines of symmetry.
- A rhombus that is also a square has 8 lines of symmetry.
When a rhombus is also a square, it retains its 2 lines of symmetry (the diagonals) and also has 4 additional lines of symmetry (the vertical and horizontal lines through the midpoints of the opposite sides). Therefore, a square has a total of 8 lines of symmetry. In summary:
- A rhombus has 2 lines of symmetry.
- A rhombus that is also a square has 8 lines of symmetry.