Question

1. understand what does it mean for a figure to have reflectional symmetry? rotational symmetry?

Explanation:

Reflectional symmetry means a figure can be divided by a line (axis of symmetry) into two mirror - image halves. Rotational symmetry means a figure looks the same after a rotation (less than \(360^{\circ}\)) around a center point.

Answer:

Reflectional symmetry: A figure has reflectional symmetry if there exists a line (axis of symmetry) such that when the figure is folded along that line, the two halves match exactly. Rotational symmetry: A figure has rotational symmetry if it can be rotated by an angle \(\theta\) (\(0^{\circ}<\theta < 360^{\circ}\)) around a fixed point (center of rotation) and the rotated figure coincides with the original figure.