MEDIUM
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A shape has a rotational symmetry of order 6. By how many degrees should it be rotated to look exactly as in the original position. 

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Important Questions on Symmetry and Reflection

EASY

The following question consists of two sets of figures. There is a definite relationship between the first set of figures. Establish a similar relationship between the second set of figures by selecting a suitable figure from the options.

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MEDIUM

Graph the image of the triangle ABC after a dilation with a scale factor of 13, centered at the origin.

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MEDIUM
Give an example of a figure that has a line of symmetry but does not have rotational symmetry.
MEDIUM
After rotating by 60° about a centre, a figure looks exactly the same as its original position. At what other angles will this happen for the figure?
EASY
A rectangle has rotational symmetry of order
MEDIUM
Shape Centre of Rotation Order of Rotation Angle of Rotation
Square _____ _____ _____
MEDIUM

Give the order of rotational symmetry for the following figure when rotated about the marked point (x):

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MEDIUM

Describe the transformation that has been performed in the diagram and express it using correct arrow notation. 

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MEDIUM

Graph the image of the quadrilateral ABCD after a dilation with a scale factor of 3, centered at the origin.

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MEDIUM

Does the following figure have rotational symmetry of order more than 1?

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HARD
Name any two figures that have both line symmetry and rotational symmetry.  
EASY
The order of rotational symmetry of an equilateral triangle is
HARD
Draw, if possible, a rough sketch of a triangle with both line and rotational symmetries of order more than 1.
MEDIUM
Through what different angles should a rectangle be rotated to be in symmetrical position with the original position?
MEDIUM

Plot the image of the shape on a Cartesian grid:

Rotation 90° anticlockwise about the origin

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MEDIUM

Give the order of rotational symmetry for the figure:

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MEDIUM

Can we have a rotational symmetry of order more than 1 whose angle of rotation is 45°?

MEDIUM

Describe the transformation that have occurred in the diagram:

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MEDIUM

Plot the image of the shape on a Cartesian grid:

Rotation 180° about the origin

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HARD
If a figure has two or more lines of symmetry, should it have rotational symmetry of order more than 1?