EASY
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A parallelogram has rotational symmetry of order 2.

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Important Questions on Geometry

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.
HARD
Draw, if possible, a rough sketch of a triangle with both line and rotational symmetries of order more than 1.
MEDIUM

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

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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

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

MEDIUM
Through what different angles should a rectangle be rotated to be in symmetrical position with the original position?
MEDIUM

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

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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?
MEDIUM

Plot the image of the shape on a Cartesian grid:

Rotation 90° anticlockwise 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?