NCERT Solution For Class 7 Maths – Symmetry

NCERT Solutions is known as an extremely helpful resource for preparing for the exam. Takshila Learning provides its learners with access to a wealth of NCERT problems and their solutions. CBSE Class 7 Science NCERT Solutions are built by subject matter experts, so be sure to train learners for a good grade. The questions set out in the NCERT

NCERT Solution For Class 7 Maths – Integers provides us with all-inclusive information on all concepts. As students would have to learn the basics about the subject in class 7, this curriculum for class 7 is comprehensive study material, which explains the concepts in a great way.

Questions Covered : 

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

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

Question 3 : In the following figures, the mirror line (i.e., the line of symmetry) is given as 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 the mirror for the image). Are you able to recall the name of the figure you complete?

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:

Question 5 : Copy the figure given here.
Take any one diagonal 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?

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

Question 7 : State the number of lines of symmetry for the following figures:
(а) An equilateral triangle
(b) An isosceles triangle
(c) A scalene triangle
(d) A square
(e) A rectangle
(f) A rhombus
(g) A parallelogram
(h) A quadrilateral
(i) A regular hexagon
(j) A circle

Question 8 : What letters of the English alphabet have reflectional symmetry (i.e. symmetry related to mirror reflection) about
(а) a vertical mirror
(b) a horizontal mirror
(c) both horizontal and vertical mirrors.

Question 9 : Give three examples of shapes with no line of symmetry.

Question 10 : What other name can you give of the line of symmetry of
(a) an isosceles triangle?
(b) a circle?

Question 11 : Which of the following figures have rotational symmetry of order more than 1:

Question 12 : Give the order of rotational symmetry for each figure:

Question 13 : Name any two figures that have both line symmetry and rotational symmetry.

Question 14 : Draw, wherever possible, a rough sketch of
(i) a triangle with both line and rotational symmetries of order more than 1.
(ii) a triangle with only line symmetry and no rotational symmetry of order more than 1.
(iii) a quadrilateral with a rotational symmetry of order more than 1 but not a line symmetry.
(iv) a quadrilateral with line symmetry but not a rotational symmetry of order more than 1.

Question 15 : If a figure has two or more lines of symmetry, should it have rotational symmetry of order more than 1?

Question 16 : Fill in the blanks:
Shape Centre of rotation Order of rotation Angle of rotation
Square
Rectangle
Rhombus
Equilateral triangle
Regular hexagon
Circle
Semicircle

Question 17 : Name the quadrilaterals which have both line and rotational symmetry of order more than 1.

Question 18 : After rotating by 60° about a centre, a figure looks exactly the same as its original position. At what other angles will this happen for the figure?

Question 19 : Can we have a rotational symmetry of order more than 1 whose angle of rotation is
(i) 45°?
(ii) 17°?