A shape is drawn on a centimetre grid. Write down the order of rotational symmetry of the shape.

A shape is drawn on a centimetre grid.
Write down the order of rotational symmetry of the shape.

Answer

The shape shown on the centimetre grid is an isosceles triangle. Rotational symmetry refers to the number of times a shape looks exactly the same when it is rotated around a central point, by an angle less than 360 degrees. The 'order' of rotational symmetry is this number. For an isosceles triangle: 1. If we rotate it by any angle less than 360 degrees, it will only look the same as its original position once it has completed a full 360-degree rotation. 2. This means that an isosceles triangle does not map onto itself during a rotation unless it is rotated by 360 degrees (which is always counted as 1 for any shape, as it returns to its original position). Therefore, the order of rotational symmetry for an isosceles triangle (and generally for any shape that doesn't have multiple rotational matches within 360 degrees, like a general quadrilateral or an unequilateral triangle) is 1. Answer: 1