Question

what type of symmetry does each figure have? check all of the boxes that apply.
line symmetry
rotational symmetry
no symmetry
done
line symmetry
rotational symmetry
no symmetry
done
line symmetry
rotational symmetry
no symmetry
done

Explanation:

1. Oval: It can be folded along multiple lines (vertical, horizontal, diagonal) to match halves, so it has line symmetry. It also maps to itself when rotated 180° (or any angle less than 360° that divides evenly), so it has rotational symmetry.
2. L-shape: There is no line that can fold the shape to match halves, and rotating it does not map it to itself before 360°, so it has no symmetry.
3. Smiley face: It can be folded along a vertical line through its center to match halves, so it has line symmetry. Rotating it 180° would flip the smile and eye positions, so it does not have rotational symmetry.

Answer:

1. Oval:

line symmetry
rotational symmetry

1. L-shape:

no symmetry

1. Smiley face:

line symmetry