Question

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

Explanation:

• For the oval:
• Line symmetry: An oval has at least one line (or more) along which it can be divided into two mirror - image halves.
• Rotational symmetry: When rotated by \(180^{\circ}\) (and in some cases other angles depending on the exact shape of the oval), it looks the same.
• For the “L” - shaped figure:
• There is no line along which it can be divided into mirror - image halves (no line symmetry).
• When rotated by any non - \(360^{\circ}\) angle, it does not look the same (no rotational symmetry).
• For the smiley face:
• There is a vertical line (passing through the center of the eyes and the middle of the smile) along which it can be divided into mirror - image halves (line symmetry).
• When rotated by any non - \(360^{\circ}\) angle, the orientation of the features (eyes, smile) changes, so it does not have rotational symmetry.

Answer:

• First figure (oval): line symmetry, rotational symmetry
• Second figure (“L” - shape): no symmetry
• Third figure (smiley face): line symmetry