For each figure state the number of sides of symmetry and all the angles of rotational symmetry. Thank you for your help.

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llltkl | College Teacher | (Level 3) Valedictorian

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The rhombus (figure in the left) has two lines of symmetry, along its two diagnals.

The rectangle (figure in the right) too has two lines of symmetry, along the midpoints of its opposite pair of sides.

Considering rotational symmetry, the rhombus has a two fold rotational axis of symmetry at its centre, thus its angle of rotational symmetry is 360/2=180 degrees.

Every figure is identical to itself. Thus it also has 360 degree rotational angle of symmetry.

The rectangle too has a two fold rotational axis of symmetry, thus its angle of rotational symmetry is 180 degrees, apart from the usual identity operation (i.e. 360 degree rotational angle of symmetry).

Therefore, both the figures have two sides (or lines) of symetry and two angles of rotational symmetry (`180^o ` and `360^o` )

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