Draw each of the shapes given below and fill in the blanks. Shape Centre of Rotation (intersection of diagonals/ Intersection of axes of symmetry) Angle of Rotation Order of Rotation Square Rectangle Rhombus Equilateral Triangle Regular Hexagon Circle Semi-circle

We need to draw each shape and find their centre of rotation, angle of rotation and order of rotation. For a square, we know that the centre of rotation is the meeting point of the diagonals. Angle of rotation is the minimum angle rotation of a figure to get exactly the same figure as the original. For a square, we get the same figure when we rotate it from the centre at 90 ° . So, angle of rotation is 90 ° . Order is the number of times a figure is rotated through its angle of symmetry before it comes to its original position. A square need to be rotated 4 times to reach its original position. So, the order of rotation is 4 . For a rectangle, we know that the centre of rotation is the meeting point of the diagonals. For a rectangle, we get the same figure when we rotate it from the centre at 180 ° . So, the angle of rotation is 180 ° . A rectangle need to be rotated 2 times to reach its original position. So, the order of rotation is 2 . For a rhombus, we know that the centre of rotation is the meeting point of the diagonals. For a rhombus, we get the same figure when we rotate it from the centre at 360 ° . So, angle of rotation is 360 ° . A rhombus need to be rotated 1 time to reach its original position. So, the order of rotation is 1 . For an equilateral triangle, we know that the centre of rotation is the meeting point of axes of symmetry. For an equilateral triangle, we get the same figure when we rotate it from the centre at 120 ° . So, angle of rotation is 120 ° . An equilateral triangle need to be rotated 3 times to reach its original position. So, the order of rotation is 3 . For a regular hexagon, we know that the centre of rotation is the meeting point of the diagonals. For a regular hexagon, we get the same figure when we rotate it from the centre at 60 ° . So, the angle of rotation is 60 ° . A regular hexagon need to be rotated 6 times to reach its original position. So, the order of rotation is 6 . For a circle, we know that the centre of rotation is the meeting point of the axes of symmetry. For a circle, we get the same figure when we rotate it from the centre at any angle. So, angle of rotation is infinity. A circle need to be rotated infinite number of times to reach its original position. So, the order of rotation is infinite. For a semi-circle, we know that the centre of rotation is at the mid-point of the diameter. For a semi-circle, we get the same figure when we rotate it from the centre at 360 ° . So, angle of rotation is 360 ° . A semi-circle need to be rotated 1 time to reach its original position. So, the order of rotation is 1 . So, the final table looks like Shape Centre of Rotation (intersection of diagonals/ Intersection of axes of symmetry) Angle of Rotation Order of Rotation Square intersection of diagonals 90 ° 4 Rectangle intersection of diagonals 180 ° 2 Rhombus intersection of diagonals 360 ° 1 Equilateral Triangle Intersection of axes of symmetry 120 ° 3 Regular Hexagon intersection of diagonals 60 ° 6 Circle Intersection of axes of symmetry infinity infinity Semi-circle Mid-point of diameter 360 ° 1

E M B I B E

Mathematics Class 7>Chapter 15 - Symmetry>Exercise - 3>Q 2

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Write the order of rotational symmetry for the following figure.

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Important Questions on Symmetry

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7th Telangana Board

IMPORTANT

Mathematics Class 7>Chapter 15 - Symmetry>Exercise - 3>Q 2

Write the order of rotational symmetry for the following figure.

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7th Telangana Board

IMPORTANT

Mathematics Class 7>Chapter 15 - Symmetry>Exercise - 3>Q 2

Give the order of rotational symmetry for the following figure.

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7th Telangana Board

IMPORTANT

Mathematics Class 7>Chapter 15 - Symmetry>Exercise - 3>Q 2

Write the order of rotational symmetry for the following figure.

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7th Telangana Board

IMPORTANT

Mathematics Class 7>Chapter 15 - Symmetry>Exercise - 3>Q 2

Give the order of rotational symmetry for the following figure.

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Mathematics Class 7>Chapter 15 - Symmetry>Exercise - 3>Q 3

Draw each of the shapes given below and fill in the blanks.

Shape	Centre of Rotation (intersection of diagonals/ Intersection of axes of symmetry)	Angle of Rotation	Order of Rotation
Square
Rectangle
Rhombus
Equilateral Triangle
Regular Hexagon
Circle
Semi-circle

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Mathematics Class 7>Chapter 15 - Symmetry>Exercise - 4>Q 1

Some english alphabets have fascinating symmetrical structures. Which capital letters have only one line of symmetry(like E)? Which capital letters have rotational symmetry of order $2$ (like I)?

Fill the following table, thinking along such lines.