The shape that has infinite lines of symmetry and a rotational symmetry of infinite order is a

(1, 15)

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(15, 1)

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(-1, -15)

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(1, -15)

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Solution

The correct option is A
(1, 15)

The shape that has infinite lines of symmetry and a rotational symmetry of infinite order is a circle.

A diameter is the line of symmetry of a circle and infinite number of diameters can be drawn for a circle.

A circle can be rotated with any angle and the shape will remain the same.

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Similar questions

Draw, wherever possible, a rough sketch of

(i) a triangle with both line and rotational symmetries of order more than 1.

(ii) a triangle with only line symmetry and no rotational symmetry of order more than 1.

(iii) a quadrilateral with a rotational symmetry of order more than 1 but not a line symmetry.

(iv) a quadrilateral with line symmetry but not a rotational symmetry of order more than 1.

5

Statement 1: Regular polygons have finite lines of symmetry.

Statement 2: Circle has infinite lines of symmetry.

Statement 3: Circle is a polygon with infinite sides.

Statement 4: Circle is a regular polygon with infinite sides.

Which of the above statements is/are correct?

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