Draw a shape that exhibits rotational symmetry of order 3 and 1 line of symmetry
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Answer:
An example of a shape that exhibits a rotational symmetry of order 3 is a triangle
Step-by-step explanation:
The order of symmetry of a geometric shape can be defined as the number of times a figure, when rotated, looks exactly the same as its original shape. The rotation is done only up to 360 degrees.
First order symmetry means that the figure needs to be rotated up to 360 degrees to come back to the original figure. Example is the image of an arrow
Second order symmetry means that a figure can achieve its original two times when rotated through a 360 degree turn. An example is a rectangle. The shape always return to original position after 180 degree turns.
Third order symmetry means that the figure retains the original shape three times, through a 360 degree turn. An example is a triangle. The shape will return to original shape after 120 degree turns.
The order of symmetry follows the same principal as the above for all orders; fourth, fifth, sixth and so on
Check out the attached image for rotational symmetry of order 3