A line of symmetry is an imaginary line that divides a shape into two equal halves, in a way that each half is a mirror image of the other. When a shape is folded along its line of symmetry, the two halves match exactly.
Symmetrical shapes have at least one line of symmetry, whereas asymmetrical shapes have none. Some examples of symmetrical shapes include:
Each of these shapes has a unique number of lines of symmetry. In contrast, shapes like scalene triangles or parallelograms have no lines of reflection symmetry. This is because they cannot be divided into two mirror-image halves.
Rotational symmetry occurs when a shape can be rotated around a central point and still look the same. The number of times a shape can be rotated within a full 360-degree rotation and still appear unchanged is called the order of rotational symmetry. For example:
A square has rotational symmetry of order 4. This is because it can be rotated four times (90°, 180°, 270° and 360°) and still look the same.
An equilateral triangle has rotational symmetry of order 3, as it can be rotated three times (120°, 240° and 360°) and still look the same.
A circle has infinite rotational symmetry, as it looks the same after any rotation.
Shapes like rectangles and scalene triangles do not have rotational symmetry. This is because they cannot be rotated and still appear the same within a full 360-degree rotation.
How many lines of symmetry does an isosceles triangle have?
How many lines of symmetry does a regular pentagon have?
How many lines of symmetry does a regular heptagon have?
How many lines of symmetry does a parallelogram have?