Selina solutions concise mathematica class 7 icse Solutions for Chapter 17 symmetry including reflection and rotation

Q1) For each figure given below draw the lines of symmetry if possible :

Q2) Write capital letters A to Z of English alphabet; and in each case if possible draw the largest number of lines of symmetry.

Q3) By drawing a freehand sketch of each of the following, draw in each case, the line (s) of symmetry if any:

(i) a scalene triangle

(ii) an isosceles right-angled triangle

(iii) a rhombus

(iv) a kite-shaped figure triangle.

(v) a rectangle

(vi) a square

(vii) an isosceles

Q4) Draw a triangle with

(i) no line of symmetry,

(ii) only one line of symmetry,

(iii) exactly two lines of symmetry,

(iv) exactly three lines of symmetry,

(v) more than three lines of symmetry.

In each case, if possible, represent the line/ lines of symmetry by dotted lines. Also, write the special name of the triangle drawn.

Q5) Draw a quadrilateral with :

(i) no line of symmetry.

(ii) only one line of symmetry.

(iii) exactly two lines of symmetry.

(iv) exactly three lines of symmetry.

(v) exactly four lines of symmetry.

(vi) more than four lines of symmetry.

In each case, if possible, represent the line/ lines of symmetry by dotted lines. Also, write the special name of the quadrilateral drawn.

Q6) Construct an equilateral triangle with each side 6 cm. In the triangle drawn, draw all the possible lines of symmetry.

Q7) Construct a triangle ABC in which AB = AC = 5cin and BC = 5.6 cm. If possible, draw its lines of symmetry.

Q8) Construct a triangle PQR such that PQ = QR = 5 .5 cm and angle PQR = 90°. If possible, draw its lines of symmetry.

Q9) If possible, draw a rough sketch of a quadrilateral that has exactly two lines of symmetry.

Q10) A quadrilateral ABCD is symmetric about its diagonal AC. Name tire sides of this quadrilateral which are equal.

Q1) In each figure, given below, find the image of the point P in the line AB :

Q2) In each figure, given below, find the image of the line segment AB in the line PQ :

Q3) Complete the following table :

Q4) A point P (7,3)|is reflected in x-axis to point P’. The point P’ is further reflected in v-axis to point P” Find :

(i) the co-ordinates of P’

(ii) the co-ordinates of P”

(iii) the image of P (7, 3) in origin.

Q5) A point A (- 5, 4) is reflected in y-axis to point B. The point B is further reflected in origin to point C. find :

(i) the co-ordinates of B

(ii) the co-ordinates of C

(iii) the image of A (- 5, 4) in x-axis.

Q6) The point P (3, – 8) is reflected in origin to point Q. The Point Q is further reflected in x-axis to point R. Find : (i) the co-ordinates of Q (ii) the co-ordinates of R (iii) the image of P (3, – 8) in y-axis.

Q7) Each of the points A (3, 0), B (7, 0), C (- 8, 0), D (- 7, 0) and E (0, 0) is reflected in x-axis to points A’, B’, C’, D’ and E’ respectively. Write the co-ordinates of each of the image points A’, B’, C’, D’ and E’.

Q8) Each of the points A (0, 4), B (0, 10), C (0, – 4), D (0, – 6) and E (0, 0) is reflected in y-axis to points A’, B’, C’, D’ and E’ respectively. Write the co-ordinates of each of the image points A’, B’, C’, D’ and E’.

Q9) Each of the points A (0, 7), B (8. 0), C (0, -5), D (- 7, 0) and E (0, 0) are reflected in origin to points A’, B’, C’, D’ and E’ respectively. Write the co-ordinates of each of the image points A’, B’, C’, D’ and E’.

Q10) Mark points A (4, 5) and B (- 5, 4) on a graph paper. Find A’, the image of A in x-axis and B’, the image of B in x-axis. Mark A’ and B’ also on the same graph paper.

(ii) Join AB and A’ B’ and find if AB = A’ B’ ?

Q11) Mark points A (6, 4) and B (4, – 6) on a graph paper. Find A’, the image of A in y-axis and B’, the image of B in y-axis. Mark A’ and B’ also on the same graph paper.

Q12) Mark points A (- 6, 5) and B (- 4, – 6) on a graph paper. Find A’, the image of A in origin and B’, the image of B in origin. Mark A’ and B’ also on the same graph paper. Join AB and A’ B’. Is AB = A’ B’ ?

Q1) How many lines of symmetry does a rhombus have?

Q2) What is the order of rotational symmetry of a rhombus?

Q3) Show that each of the following figures has two lines of symmetry and a rotational.

Q4) Name a figure that has a line of symmetry but does not have any rotational symmetry.

Q5) In each of the following figures, draw all possible lines of symmetry and also write the order of rotational symmetry: