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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