Complete the following table: Shape Angle of rotation Order of rotation Rectangle

Given: A rectangle. Since, a rectangle can bring back its identical figure by rotating less than 360 ° , it is a rotational symmetry. We know that, the angle of rotation is the least angle through which a figure is rotated to get the same figure. Here, Angle of rotation = 180 ° . ∴ Order of rotational symmetry = 360 ° 180 ° = 2 . Shape Angle of rotation Order of rotation Rectangle 180 ° 2

Complete the following table: Shape Angle of rotation Order of rotation Rhombus

Given: A rhombus. Since, a rhombus can bring back its identical figure by rotating less than 360 ° , it is a rotational symmetry. We know that, the angle of rotation is the least angle through which a figure is rotated to get the same figure. Here, Angle of rotation = 180 ° . ∴ Order of rotational symmetry = 360 ° 180 ° = 2 . Shape Angle of rotation Order of rotation Rhombus 180 ° 2

Complete the following table: Shape Angle of rotation Order of rotation Equilateral triangle

Given: An equilateral triangle. Since an equilateral triangle can get back to its identical figure by rotating less than 360 ° , it is a rotational symmetry. Angle of rotation is the minimum angle through which a geometric figure or object has to be rotated to obtain the original figure or object. ⇒ Angle of rotation of an equilateral triangle = 120 ° . The order of a rotational symmetry is the number which represents the total number of times a geometric figure will look the same when it is rotated by 360 ° . ∴ Order of rotational symmetry of an equilateral triangle = 360 ° 120 ° = 3 . Shape Angle of rotation Order of rotation Equilateral triangle 120 ° 3

Complete the following table: Shape Angle of rotation Order of rotation Oval

Given shape is an oval. Since, an oval shape figure can be brought back to its identical figure by rotating less than 360 ° . Hence, it is a rotational symmetry. We know that an angle of rotation is the minimum angle through which a geometrical figure or object has to be rotated to obtain the original figure. For an oval shape, let us observe the minimum angle to get into its original shape: ⇒ Angle of rotation for an oval shape = 180 ° . The order of rotational symmetry is the number which represents the total number of times a geometrical figure will look the same when it is rotated by 360 ° . ∴ Order of rotational symmetry for an oval shape = 360 ° 180 ° = 2 . Shape Angle of rotation Order of rotation Oval 180 ° 2

Complete the following table: Shape Angle of rotation Order of rotation Number 8

Given: A number 8 . Since, a number 8 can be brought back to its identical figure by rotating less than 360 ° , it is a rotational symmetry. The angle of rotation is the minimum angle through which a geometric figure has to be rotated to obtain the original figure. ⇒ Angle of rotation of number 8 = 180 ° . The order of rotational symmetry is the number which represents the total number of times a geometric figure will look the same when it is rotated by 360 ° . ∴ Order of rotational symmetry of number 8 = 360 ° 180 ° = 2 . Shape Angle of rotation Order of rotation Number 8 180 ° 2 Note that this case is only possible when we consider both the upper half and lower half circles of the number 8 to be equal. If both the circles are not same then the number 8 will not have the rotational symmetry.

E M B I B E

Active Teach Maths Ace>Chapter 11 - Symmetry>Exercise

Exercise

Author:Alka Tuli & Rajesh Hassija

Alka Tuli Mathematics Solutions for Exercise

Simple step-by-step solutions to Exercise questions of Symmetry from Active Teach Maths Ace. Also get 3D topic explainers, cheat sheets, and unlimited doubts solving on EMBIBE.