RBSE Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1

Rajasthan Board RBSE Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1 Textbook Exercise Questions and Answers.

RBSE Class 7 Maths Solutions Chapter 14 Symmetry Ex 14.1

Question 1.
Copy the figures with punched holes and find the axis of symmetry for the following:

Answer:
Dotted lines show axes of symmetry in the following figures:

Question 2.
Given the line(s) of symmetry, find the other hole(s):

Answer:
The figures with other holes are given below:

Question 3.
In the following figures, the mirror line (i.e. the line of symmetry) is given as a dotted line. Complete each figure performing reflection in the dotted (mirror) line. (You might perhaps place a mirror along the dotted line and look into mirror for the image.) Are you able to recall the name of the figure you complete?

Answer:
Completed figure and name of figure are as follows:

Question 4.
The following figures have more than one line of symmetry. Such figures are said to have multiple lines' of symmetry:

Identify multiple lines of symmetry, if any in each of the following figures:

Answer:
Dotted lines show multiple lines of symmetry:

Question 5.
Copy the figure given here. Take any one diagram as a line of symmetry and shade a few more squares to make the figure symmetric about a diagonal. Is there more than one way to do that? Will the figure be symmetric about both the diagonals?

Answer:
Draw diagonal AC and shade the squares as shown in the figure is symmetric about EF and GH also. Thus there are more than one way to make it symmetric. The figure is symmetric about the diagonal BD also. The figure is symmetric about both the diagonals.

Question 6.
Copy the diagram and complete each shape to be symmetric about the mirror line(s):

Answer:
The complete figures are given below:

Question 7.
State the number of lines of symmetry for the following figures:
(a) An equilateral triangle
Answer:
3

(b) An isosceles triangle
Answer:
1

(c) A scalene triangle
Answer:
No line of symmetry

(d) A square
Answer:
4

(e) A rectangle
Answer:
2

(f) A rhombus
Answer:
2

(g) A parallelogram
Answer:
No line of symmetry

(h) A quadrilateral
Answer:
No line of symmetry

(i) A regular hexagon
Answer:
6

(j) A circle
Answer:
Infinitely many lines of symmetry

Question 8.
What letters of the English alphabet have reflectional symmetry (i.e. symmetry related to mirror reflection) about:
(a) a vertical mirror?
Answer:
A, H, I, M, O, T, U, V, W, X and Y have reflectional symmetry about a vertical mirror.

(b) a horizontal mirror?
Answer:
B, C, D, E, H, I, O and X have reflectional symmetry about a horizontal mirror.

(c) both horizontal and vertical mirrors?
Answer:
O, X, I and H have both horizontal and vertical reflectional symmetry.

Question 9.
Give three examples of shapes with no line of symmetry.
Answer:
A scalene triangle, a parallelogram and a quadrilateral.

Question 10.
What other name can you give to the line of symmetry of: 
(a) an isosceles triangle?
(b) a circle?
Answer:
(a) Median or altitude,
(b) Diameter.