# Ex.14.3 Q4 Symmetry - NCERT Maths Class 7

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## Question

Fill in the blanks – Shape; Centre of Rotation; Order of Rotation; Angle of Rotation; for each of the figures respectively.

 Shape Centre of Rotation Order of Rotation Angle of Rotation Square Rectangle Rhombus Equilateral Triangle Regular Hexagon Circle Semi-circle

## Text Solution

What is known?

Shapes

What is unknown?

Centre of rotation, order of rotation and angle of rotation.

Reasoning:

Centre of rotation: In case of polygon centre of rotation is intersecting point of diagonals and in case of circle centre of rotation is centre of the circle.

Order of rotation: In case of regular polygon order of rotation is always equals to the number of sides and in case of circle order of rotation is infinite.

Angle of rotation: In case of regular polygon angle of rotation is always equals to the measurement of one angle and in case of circle angle of rotation is at every point.

Steps:

 Shape Centre of Rotation Order of Rotation Angle of Rotation Square Intersecting points of diagonals $$4$$ 90° Rectangle Intersecting points of diagonals $$2$$ $$180^\circ$$ Rhombus Intersecting points of diagonals $$2$$ $$180^\circ$$ Equilateral Triangle Intersecting points of diagonals $$3$$ $$120^\circ$$ Regular Hexagon Intersecting points of diagonals $$6$$ $$60^\circ$$ Circle Mid- point of diameter Infinite At every point Semi-circle Mid- point of diameter $$1$$ $$360^\circ$$

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