RS Aggarwal Class 7 Solutions Chapter 18 Reflection and Rotational Symmetry Ex 18B

These Solutions are part of RS Aggarwal Solutions Class 7. Here we have given RS Aggarwal Solutions Class 7 Chapter 18 Reflection and Rotational Symmetry Ex 18B.

Other Exercises

Question 1.
Solution:
(a) An equilateral triangle has three lines of symmetry which are the angle bisectors.
(b) It has three order of rotational symmetry.

Question 2.
Solution:
The rectangle should be rotated through 180° and 360° to be in symmetrical position with the original position as given below :
RS Aggarwal Class 7 Solutions Chapter 18 Reflection and Rotational Symmetry Ex 18B 1

Question 3.
Solution:
A square has four orders of rotational symmetry and angles through which the rotational symmetry are 90°, 180°, 270° and 360° as given below:
RS Aggarwal Class 7 Solutions Chapter 18 Reflection and Rotational Symmetry Ex 18B 2
RS Aggarwal Class 7 Solutions Chapter 18 Reflection and Rotational Symmetry Ex 18B 3

Question 4.
Solution:
(i) A rhombus has two lines of symmetry which are its diagonal.
(ii) Order of rotational symmetry of a rhombus is not possible. Therefore it has no rotational symmetry.

Question 5.
Solution:
Three letters of the English Alphabet which have two lines of symmetry and rotational symmetry of order 2 are H, I and N.

Question 6.
Solution:
The figure which has only on line of symmetry but no rotational symmetry order is an isosceles triangle.
RS Aggarwal Class 7 Solutions Chapter 18 Reflection and Rotational Symmetry Ex 18B 4

Question 7.
Solution:
No, only isosceles trapezium has a line of symmetry but not every trapezium.
RS Aggarwal Class 7 Solutions Chapter 18 Reflection and Rotational Symmetry Ex 18B 5

Question 8.
Solution:
The line of symmetry of a semicircle is the perpendicular bisector of the diameter No, it has not any rotational symmetry.
RS Aggarwal Class 7 Solutions Chapter 18 Reflection and Rotational Symmetry Ex 18B 6

Question 9.
Solution:
A scalene triangle has neither any line of symmetry nor a rotational symmetry.
RS Aggarwal Class 7 Solutions Chapter 18 Reflection and Rotational Symmetry Ex 18B 7

Question 10.
Solution:
In the given figure, the line of symmetry has been drawn which is one. There is no rotational symmetry of this figure.
RS Aggarwal Class 7 Solutions Chapter 18 Reflection and Rotational Symmetry Ex 18B 8

Question 11.
Solution:
(i) The given figure has two lines of symmetry which has been drawn.
RS Aggarwal Class 7 Solutions Chapter 18 Reflection and Rotational Symmetry Ex 18B 9
(ii) It has three orders of the rotational symmetry which are 90°, 270° and 360°.

Question 12.
Solution:
There is one letter of the English Alphabet Z which has no line of symmetry but it has order two of rotational symmetry of 180° and 360°.
RS Aggarwal Class 7 Solutions Chapter 18 Reflection and Rotational Symmetry Ex 18B 10

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