Question

Determine the number of lines of symmetry for the figure.

The figure has ✓line(s) of symmetry.
Select the angles of rotation, if any, that map the figure onto itself.
O 30°
O 90°
☐ 180°
dh
O 45°
O 120°

Answer 1

• The figure has 4 lines of symmetry.
• Rotating through angles 90° or 180° will map the figure to itself.

Explanation:

You want the number of lines of symmetry of the 4-leaved rose shown in the figure.

Lines of symmetry

The figure is symmetrical about a line through opposite petals. It is also symmetrical about a line through the space between petals. The attachment shows the 4 lines of symmetry.

Rotational symmetry

The petals have the same geometry, but are rotated 90° from each other. That means any rotation that is a multiple of 90° will map the figure to itself. (180° is a multiple of 90°)

The figure maps to itself when rotated 90° or 180°.