RS Aggarwal Solutions: Reflection and Rotational Symmetry | Mathematics (Maths) Class 7 PDF Download

 Page 1


Q u e s t i o n : 1
Tick ( ?) the correct answer
A scalene triangle has
(a) no line of symmetry
(b) one line of symmetry
(c) two lines of symmetry
(d) three lines of symmetry
S o l u t i o n :
(a) no line of symmetry
Q u e s t i o n : 2
Tick ( ?) the correct answer
A rectangle is symmetrical about
(a) each one of its sides
(b) each one of its diagonals
(c) a line joining the midpoints of its opposite sides
(d) none of these
S o l u t i o n :
(c) a line joining the midpoints of its opposite sides
Q u e s t i o n : 3
Tick ( ?) the correct answer
A square has
(a) one line of symmetry
(b) two lines of symmetry
(c) three lines of symmetry
(d) four lines of symmetry
S o l u t i o n :
(d) four lines of symmetry
A square is symmetrical about both of its diagonals and both lines joining the midpoints of its opposite sides.
Q u e s t i o n : 4
Tick ( ?) the correct answer
A rhombus is symmetrical about
Page 2


Q u e s t i o n : 1
Tick ( ?) the correct answer
A scalene triangle has
(a) no line of symmetry
(b) one line of symmetry
(c) two lines of symmetry
(d) three lines of symmetry
S o l u t i o n :
(a) no line of symmetry
Q u e s t i o n : 2
Tick ( ?) the correct answer
A rectangle is symmetrical about
(a) each one of its sides
(b) each one of its diagonals
(c) a line joining the midpoints of its opposite sides
(d) none of these
S o l u t i o n :
(c) a line joining the midpoints of its opposite sides
Q u e s t i o n : 3
Tick ( ?) the correct answer
A square has
(a) one line of symmetry
(b) two lines of symmetry
(c) three lines of symmetry
(d) four lines of symmetry
S o l u t i o n :
(d) four lines of symmetry
A square is symmetrical about both of its diagonals and both lines joining the midpoints of its opposite sides.
Q u e s t i o n : 4
Tick ( ?) the correct answer
A rhombus is symmetrical about
(a) the line joining the midpoints of its opposite sides
(b) each of its diagonals
(c) perpendicular bisector of each of its sides
(d) none of these
S o l u t i o n :
(b) each of its diagonal
Q u e s t i o n : 5
Tick ( ?) the correct answer
A circle has
(a) no line of symmetry
(b) one line of symmetry
(c) two lines of symmetry
(d) an unlimited number of lines of symmetry
S o l u t i o n :
(d) an unlimited number of lines of symmetry
A circle is symmetrical about all its diameters and a circle has unlimited number of diameters.
Therefore, a circle has unlimited number of lines of symmetry.
Q u e s t i o n : 6
Tick ( ?) the correct answer
In ?ABC, AB = AC and AD ? BC, BE ? AC and CF ? AB. Then ?ABC is symmetrical about
(a) AD
(b) BE
(c) CF
(d) none of these
S o l u t i o n :
(a) AD
This triangle is symmetrical only about AD.
Any isosceles triangle is symmetrical about its one altitude, which is drawn from the vertex between the two equal
sides to the unequal side of the triangle.
Page 3


Q u e s t i o n : 1
Tick ( ?) the correct answer
A scalene triangle has
(a) no line of symmetry
(b) one line of symmetry
(c) two lines of symmetry
(d) three lines of symmetry
S o l u t i o n :
(a) no line of symmetry
Q u e s t i o n : 2
Tick ( ?) the correct answer
A rectangle is symmetrical about
(a) each one of its sides
(b) each one of its diagonals
(c) a line joining the midpoints of its opposite sides
(d) none of these
S o l u t i o n :
(c) a line joining the midpoints of its opposite sides
Q u e s t i o n : 3
Tick ( ?) the correct answer
A square has
(a) one line of symmetry
(b) two lines of symmetry
(c) three lines of symmetry
(d) four lines of symmetry
S o l u t i o n :
(d) four lines of symmetry
A square is symmetrical about both of its diagonals and both lines joining the midpoints of its opposite sides.
Q u e s t i o n : 4
Tick ( ?) the correct answer
A rhombus is symmetrical about
(a) the line joining the midpoints of its opposite sides
(b) each of its diagonals
(c) perpendicular bisector of each of its sides
(d) none of these
S o l u t i o n :
(b) each of its diagonal
Q u e s t i o n : 5
Tick ( ?) the correct answer
A circle has
(a) no line of symmetry
(b) one line of symmetry
(c) two lines of symmetry
(d) an unlimited number of lines of symmetry
S o l u t i o n :
(d) an unlimited number of lines of symmetry
A circle is symmetrical about all its diameters and a circle has unlimited number of diameters.
Therefore, a circle has unlimited number of lines of symmetry.
Q u e s t i o n : 6
Tick ( ?) the correct answer
In ?ABC, AB = AC and AD ? BC, BE ? AC and CF ? AB. Then ?ABC is symmetrical about
(a) AD
(b) BE
(c) CF
(d) none of these
S o l u t i o n :
(a) AD
This triangle is symmetrical only about AD.
Any isosceles triangle is symmetrical about its one altitude, which is drawn from the vertex between the two equal
sides to the unequal side of the triangle.
Q u e s t i o n : 7
Tick ( ?) the correct answer
ABCD is a kite in which AB = AD and BC = DC. The kite is symmetrical about
(a) the diagonal AC
(b) the diagonal BD
(c) none of these
S o l u t i o n :
(a) the diagonal AC
Since the part ABC is symmetrical to the part ADC, AC divides the figure into two equal parts.
Q u e s t i o n : 8
Tick ( ?) the correct answer
The letter O of the English alphabet has
(a) no line of symmetry
(b) one line of symmetry
(c) two lines of symmetry
(d) none of these
S o l u t i o n :
(c) two lines of symmetry
The letter O of the English alphabetic system is symmetrical about its horizontal and vertical line.
Page 4


Q u e s t i o n : 1
Tick ( ?) the correct answer
A scalene triangle has
(a) no line of symmetry
(b) one line of symmetry
(c) two lines of symmetry
(d) three lines of symmetry
S o l u t i o n :
(a) no line of symmetry
Q u e s t i o n : 2
Tick ( ?) the correct answer
A rectangle is symmetrical about
(a) each one of its sides
(b) each one of its diagonals
(c) a line joining the midpoints of its opposite sides
(d) none of these
S o l u t i o n :
(c) a line joining the midpoints of its opposite sides
Q u e s t i o n : 3
Tick ( ?) the correct answer
A square has
(a) one line of symmetry
(b) two lines of symmetry
(c) three lines of symmetry
(d) four lines of symmetry
S o l u t i o n :
(d) four lines of symmetry
A square is symmetrical about both of its diagonals and both lines joining the midpoints of its opposite sides.
Q u e s t i o n : 4
Tick ( ?) the correct answer
A rhombus is symmetrical about
(a) the line joining the midpoints of its opposite sides
(b) each of its diagonals
(c) perpendicular bisector of each of its sides
(d) none of these
S o l u t i o n :
(b) each of its diagonal
Q u e s t i o n : 5
Tick ( ?) the correct answer
A circle has
(a) no line of symmetry
(b) one line of symmetry
(c) two lines of symmetry
(d) an unlimited number of lines of symmetry
S o l u t i o n :
(d) an unlimited number of lines of symmetry
A circle is symmetrical about all its diameters and a circle has unlimited number of diameters.
Therefore, a circle has unlimited number of lines of symmetry.
Q u e s t i o n : 6
Tick ( ?) the correct answer
In ?ABC, AB = AC and AD ? BC, BE ? AC and CF ? AB. Then ?ABC is symmetrical about
(a) AD
(b) BE
(c) CF
(d) none of these
S o l u t i o n :
(a) AD
This triangle is symmetrical only about AD.
Any isosceles triangle is symmetrical about its one altitude, which is drawn from the vertex between the two equal
sides to the unequal side of the triangle.
Q u e s t i o n : 7
Tick ( ?) the correct answer
ABCD is a kite in which AB = AD and BC = DC. The kite is symmetrical about
(a) the diagonal AC
(b) the diagonal BD
(c) none of these
S o l u t i o n :
(a) the diagonal AC
Since the part ABC is symmetrical to the part ADC, AC divides the figure into two equal parts.
Q u e s t i o n : 8
Tick ( ?) the correct answer
The letter O of the English alphabet has
(a) no line of symmetry
(b) one line of symmetry
(c) two lines of symmetry
(d) none of these
S o l u t i o n :
(c) two lines of symmetry
The letter O of the English alphabetic system is symmetrical about its horizontal and vertical line.
Q u e s t i o n : 9
Tick ( ?) the correct answer 
the letter Z of the English alphabet has
(a) no line of symmetry
(b) one line of symmetry
(c) two lines of symmetry
(d) none of these
S o l u t i o n :
(a) no line of symmetry
Q u e s t i o n : 1 0
Tick ( ?) the correct answer 
Draw the line (or lines) of symmetry of each of the following figures.
S o l u t i o n :
Lines of symmetry are shown by the dotted lines.
(i)
(ii)
(iii)
(iv)
Q u e s t i o n : 1 1
Tick ( ?) the correct answer 
Which of the following statements are true and which of them are false?
Page 5


Q u e s t i o n : 1
Tick ( ?) the correct answer
A scalene triangle has
(a) no line of symmetry
(b) one line of symmetry
(c) two lines of symmetry
(d) three lines of symmetry
S o l u t i o n :
(a) no line of symmetry
Q u e s t i o n : 2
Tick ( ?) the correct answer
A rectangle is symmetrical about
(a) each one of its sides
(b) each one of its diagonals
(c) a line joining the midpoints of its opposite sides
(d) none of these
S o l u t i o n :
(c) a line joining the midpoints of its opposite sides
Q u e s t i o n : 3
Tick ( ?) the correct answer
A square has
(a) one line of symmetry
(b) two lines of symmetry
(c) three lines of symmetry
(d) four lines of symmetry
S o l u t i o n :
(d) four lines of symmetry
A square is symmetrical about both of its diagonals and both lines joining the midpoints of its opposite sides.
Q u e s t i o n : 4
Tick ( ?) the correct answer
A rhombus is symmetrical about
(a) the line joining the midpoints of its opposite sides
(b) each of its diagonals
(c) perpendicular bisector of each of its sides
(d) none of these
S o l u t i o n :
(b) each of its diagonal
Q u e s t i o n : 5
Tick ( ?) the correct answer
A circle has
(a) no line of symmetry
(b) one line of symmetry
(c) two lines of symmetry
(d) an unlimited number of lines of symmetry
S o l u t i o n :
(d) an unlimited number of lines of symmetry
A circle is symmetrical about all its diameters and a circle has unlimited number of diameters.
Therefore, a circle has unlimited number of lines of symmetry.
Q u e s t i o n : 6
Tick ( ?) the correct answer
In ?ABC, AB = AC and AD ? BC, BE ? AC and CF ? AB. Then ?ABC is symmetrical about
(a) AD
(b) BE
(c) CF
(d) none of these
S o l u t i o n :
(a) AD
This triangle is symmetrical only about AD.
Any isosceles triangle is symmetrical about its one altitude, which is drawn from the vertex between the two equal
sides to the unequal side of the triangle.
Q u e s t i o n : 7
Tick ( ?) the correct answer
ABCD is a kite in which AB = AD and BC = DC. The kite is symmetrical about
(a) the diagonal AC
(b) the diagonal BD
(c) none of these
S o l u t i o n :
(a) the diagonal AC
Since the part ABC is symmetrical to the part ADC, AC divides the figure into two equal parts.
Q u e s t i o n : 8
Tick ( ?) the correct answer
The letter O of the English alphabet has
(a) no line of symmetry
(b) one line of symmetry
(c) two lines of symmetry
(d) none of these
S o l u t i o n :
(c) two lines of symmetry
The letter O of the English alphabetic system is symmetrical about its horizontal and vertical line.
Q u e s t i o n : 9
Tick ( ?) the correct answer 
the letter Z of the English alphabet has
(a) no line of symmetry
(b) one line of symmetry
(c) two lines of symmetry
(d) none of these
S o l u t i o n :
(a) no line of symmetry
Q u e s t i o n : 1 0
Tick ( ?) the correct answer 
Draw the line (or lines) of symmetry of each of the following figures.
S o l u t i o n :
Lines of symmetry are shown by the dotted lines.
(i)
(ii)
(iii)
(iv)
Q u e s t i o n : 1 1
Tick ( ?) the correct answer 
Which of the following statements are true and which of them are false?
(i) A parallelogram has no line of symmetry.
(ii) An angle with equal arms has its bisector as the line of symmetry.
(iii) An equilateral triangle has three lines of symmetry.
(iv) A rhombus has four lines of symmetry.
(v) A square has four lines of symmetry.
(vi) A rectangle has two lines of symmetry.
(vii) Each one of the letters H, I, O, X of the English alphabet has two lines of symmetry.
S o l u t i o n :
(i) True
(ii) True
(iii) True
(iv) False
A rhombus is symmetrical about both of its diagonals.
So, a rhombus has two lines of symmetry.
(v) True
A square is symmetrical about both of its diagonals and both the lines joining the midpoints of its opposite sides.
So, a square has four lines of symmetry.
(vi) True
A rectangle is symmetrical about both the lines joining the midpoints of its opposite sides.
So, a rectangle has two lines of symmetry.
(vii) True
Each one of the letters, H, I, O and X, of the English alphabetic system is symmetrical about its horizontal and
vertical line, in the middle of the letters.
So, all these letters have two lines of symmetry.
Q u e s t i o n : 1 2
(i) How many lines of symmetry does an equilateral triangle have?
(ii) What is the order of rotational symmetry of an equilateral triangle?
S o l u t i o n :
(i) An equilateral triangle has 3 lines of symmetry.