NCERT Solutions for Class 7 Maths Exercise 14.1

NCERT Solutions for Class 7 Maths Exercise 14.1 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 7 Maths chapter wise NCERT solution for Maths Book all the chapters can be downloaded from our website and myCBSEguide mobile app for free.

NCERT solutions for Maths Symmetry Download as PDF

NCERT Solutions for Class 7 Maths Symmetry

Class –VII Mathematics (Ex. 14.1)

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

(a)

(b)

(c)

(d)

(e)

(f)

(g)

(h)

(i)

(j)

(k)

(l)

Answer: Sol.

S.No.	Punched holed figures	The axes of symmetry
(a)		(rectangle)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
(i)
(j)
(k)
(l)

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

Answer: Sol.

S.No.	Line(s) of symmetry	Other holes on figures
(a)
(b)
(c)
(d)
(e)

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 the mirror for the image).

Are you able to recall the name of the figure you complete?

Answer: Sol.

S.No.	Question figures	Complete figures	Names of the figure
(a)			Square
(b)			Triangle
(c)			Rhombus
(d)			Circle
(e)			Pentagon
(f)			Octagon

NCERT Solutions for Class 7 Maths Exercise 14.1

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: Sol.

S.No.	Problem Figures	Lines of symmetry
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)

NCERT Solutions for Class 7 Maths Exercise 14.1

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?

Answer: Answer figures are:

Yes, there is more than one way.

Yes, this figure will be symmetric about both the diagonals.

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NCERT Solutions for Class 7 Maths Exercise 14.1

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

Answer: Sol.

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NCERT Solutions for Class 7 Maths Exercise 14.1

Question 7. State the number of lines of symmetry for the following figures:

(a) 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

Answer: Sol.

S.No.	Figure’s name	Diagram with symmetry	Number of lines
(a)	Equilateral triangle		3
(b)	Isosceles triangle		1
(c)	Scalene triangle		0
(d)	Square		4
(e)	Rectangle		2
(f)	Rhombus		2
(g)	Parallelogram		0
(h)	Quadrilateral		0
(i)	Regular Hexagon		6
(j)	Circle		Infinite

NCERT Solutions for Class 7 Maths Exercise 14.1

Question 8. What letters of the English alphabet have reflectional symmetry (i.e., symmetry related to mirror reflection) about:

1. a vertical mirror
2. a horizontal mirror
3. both horizontal and vertical mirrors

1. Answer: (a) Vertical mirror – A, H, I, M, O, T, U, V, W, X and Y

mirror mirror

(b) Horizontal mirror – B, C, D, E, H, I, O and X

(c) Both horizontal and vertical mirror – H, I, O and X

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

Answer: The three examples are:

1. Quadrilateral
2. Scalene triangle
3. Parallelogram

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NCERT Solutions for Class 7 Maths Exercise 14.1

Question 10. What other name can you give to the line of symmetry of:

1. an isosceles triangle?
2. a circle?

Answer: (a) The line of symmetry of an isosceles triangle is median or altitude.

(b) The line of symmetry of a circle is diameter.

NCERT Solutions for Class 7 Maths Exercise 14.1

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