A quadrilateral is drawn on a square grid. O is the dot marked on one vertex of the quadrilateral. Draw three more congruent quadrilaterals around O so that the complete figure has rotation symmetry of order four.

Given, Rotational symmetry is defined as a type of symmetry in which the image of a given shape is exactly identical to the original shape or image in a complete turn or a full angle rotation or 360 ° rotation. By drawing three more congruent quadrilaterals from the reference point O , the figure will be Hence, the required answer is obtained.

Here is a picture of a car wheel. What is the order of rotational symmetry for this wheel?

Given, Rotational symmetry is defined as a type of symmetry in which the image of a given shape is exactly identical to the original shape or image in a complete turn or a full angle rotation or 360 ° rotation. When an object is rotated in a particular direction, around a point, then it is known as rotational symmetry, also known as radial symmetry. Rotational symmetry exists when a shape is turned, and the shape is identical to the origin. In this case there are six positions in which the trim will look exactly the same. These occur when the wheel is rotated through one-sixth of a complete turn, two-sixths of a turn, and so on, to five-sixths of a turn and finally a complete turn (when, of course, the wheel is back in its original position). Therefore, rotational symmetry of order of wheel is 6 Hence, the required answer is obtained.