ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 16 Symmetry Reflection and Rotation

Question 1.
Draw the line or lines of symmetry, if any, of the following shapes and count their number :
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 16 Symmetry Reflection and Rotation Q1.1
Solution:
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 16 Symmetry Reflection and Rotation Q1.2

Question 2.
For each of the given shape in question 1, find the order of the rotational symmetry (if any).
Solution:
(i) None
(ii) None
(iii) Two
(iv) Four
(v) Three
(vi) Four

Question 3.
Construct a rectangle ABCD such that AB = 4.5 cm and BC = 3 cm. Draw its line (or lines) of symmetry.
(i) Draw a line AB = 4.5 cm.
(ii) Draw a line BQ from point B making an angle of 90°.
(iii) Taking B as centre and radius = 3 cm,
mark an arc on BQ, name it as C.
(iv) As we know, opposite sides of rectangle are equal.
Therefore from point C. As a centre and radius = 4.5 cm,
draw an arc and with A as centre and 3 cm as radius,
make another as C, cutting the previous arc at point D.
(v) Join DC and DA.
(vi) ABCD is a required rectangle.
Lines of symmetry:
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 16 Symmetry Reflection and Rotation Q3.1
It has 2 lines of symmetry,
the lines joining the midpoints of opposite sides.

Question 4.
Construct a rhombus ABCD with AB = 5.3 cm and ∠A = 60°. Draw its line (or lines) of symmetry.
Solution:
(i) Draw line segment AB = 5.3 cm.
(ii) Construct ∠BAX = 60°.
(iii) With A as centre, radius = 5.3 cm draw an arc on AX.
(iv) Mark the point of intersection = D.
(v) With D as the centre and radius = 5.3 cm, draw an arc.
(vi) With B as centre and same radius,
draw another arc, such that it intersects the previous at C.
(vii) Join CD and CB.
ABCD is a required rhombus.
ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 16 Symmetry Reflection and Rotation Q4.1
Lines of symmetry in rhombus = 2,
the diagonals of the rhombus.

ML Aggarwal Class 8 Solutions for ICSE Maths

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