Q1. Draw and answer the following.
(i) A traingle which has no line of symmetry
(ii) A traingle which has only one line of symmetry
(iii) A traingle which has three lines of symmetry
Ans:
(i) A
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z traingle has
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z line of symmetry
(ii) An
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z traingle has only
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z line of
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z (iii) An
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z triangle has
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z lines of symmetry.
Q2. Find the alphabets in the box which have
(i) No line of symmetry
(ii) Rotational symmetry
(iii) Reflection symmetry
(iv) Reflection and rotational symmetry
sol:
(i) The alphabets which have no line of symmetry are
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z ,
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z ,
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z ,
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z (ii) The alphabets which have Rotational symmetry are
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z (iii) The alphabets which have reflection symmetry are
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z .
(iv) The alphabets which has reflection and rotational symmetry are
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z .
Q3. For the following pictures, find the number of lines of symmetry and also find the
order of rotation.
Sol:
(i) Number of lines of symmetry is
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z ; order of rotation is
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z (ii) Number of lines of symmetry is
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z . Order of rotation is
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z , because it is an
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z triangle.
(iii) Number of lines of symmetry are
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z Order of rotation is
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z (iv) Number of lines of symmetry
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z and order of rotation
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z (v) Number of line of symmetry is
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z and order of rotation
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z Q4. The three digit number 101 has rotational and reflection symmetry, Give nve more examples of three digit numbers which have both rotational and renection symmetry
Sol : The digits
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z have rotational and
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z symmetry.
.:. The three digits numbers
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z ,
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z ,
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z .
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z ,
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z have both
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z and
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z symmetry.
Q5. Draw the following:
Sol:
i) A figure which has
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z symmetry but
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z 0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z symmetry.
(ii) A figure which has
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z symmetry but
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z reflection symmetry.
(iii) A figure which has both
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z and
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z symmetry.
Q6. Find the line of symmetry and the order of rotational symmetry of the given regular polygons and complete the following table and answer the questions given below,
1) A regular polygon of 10 sides will have _______ lines of symmetry.
2) If a regular polygon has 10 lines of symmetry, then its order of rotational symmetry is_____
3) A regular polygon of 'n' sides has________lines of symmetry and the order of rotational symmetry is _____
Sol:
a.
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z b.
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z c.
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z d.
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z e.
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z f.
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z g.
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z h.
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z i.
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z j.
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z 1)
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z 2)
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z 3)
0 0, 1,8 1 10 111 181 2 3 4 5 6 8 808 818 888 A, M, E, D, I, K, O, X, H, U, V, W equilateral I, O, N, X, S, H, Z I, O, X, H isosceles N n,n no one P reflection rotational S scalene symmetry three Z