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

Answer

The shape provided is an isosceles triangle. To find the order of rotational symmetry, we need to determine how many times the shape looks exactly the same during a full 360-degree rotation about its center. For a typical isosceles triangle that is not equilateral, it only looks the same at 360 degrees (when it returns to its original position). This means it has an order of rotational symmetry of 1, as it only maps onto itself once in a 360-degree rotation. Place your finger at the center of the base (or the midpoint of the base as a makeshift rotational center due to the lack of a defined center of rotation in the question) and rotate the triangle. You will find that no matter how much you rotate it (less than 360 degrees), it won't look the same as the original orientation. It only matches its original appearance after a full 360-degree turn. Therefore, the order of rotational symmetry is 1.