## Selina Concise Mathematics Class 7 ICSE Solutions Chapter 17 Symmetry (Including Reflection and Rotation)

**Selina Publishers Concise Mathematics Class 7 ICSE Solutions Chapter 17 Symmetry (Including Reflection and Rotation)**

### Symmetry Exercise 17A – Selina Concise Mathematics Class 7 ICSE Solutions

**Question 1.**

**For each figure, given below, draw the line (s) of symmetry, if possible :**

**Solution:**

**Question 2.**

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

**Solution:
**

**Question 3.
**

**By drawing a free hand 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**

**Solution:**

**Question 4.**

**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.
**

**Solution:**

**Question 5.
**

**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.**

**Solution:**

**Question 6.**

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

**Solution:**

**Question 7.
**

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

**Solution:**

**Question 8.
**

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

**Solution:**

**Question 9.
**

**If possible, draw a rough sketch of a quadrilateral which has exactly two lines of symmetry.**

**Solution:**

**Question 10.
**

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

**Solution:**

### Symmetry Exercise 17B – Selina Concise Mathematics Class 7 ICSE Solutions

**Question 1.**

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

**Solution:
**

**Question 2.
**

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

**Solution:**

**Question 3.**

**Complete the following table :**

**Solution:**

**Question 4.**

**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.
**

**Solution:**

**Question 5.
**

**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.**

**Solution:**

**Question 6.
**

**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.**

**Solution:**

**Question 7.
**

**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’.**

**Solution:**

**Question 8.
**

**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’.**

**Solution:**

**Question 9.
**

**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’.**

**Solution:**

**Question 10.
**

**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’ ?**

**Solution:**

**Question 11.
**

**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.**

**Solution:**

**Question 12.
**

**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’ ?**

**Solution:**

### Symmetry Exercise 17C – Selina Concise Mathematics Class 7 ICSE Solutions

**Question 1.**

**How many lines of symmetry does a rhombus have?
**

**Solution:**

**Question 2.**

**What is the order of rotational symmetry of a rhombus?**

**Solution:**

**Question 3.**

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

**Solution:**

**Question 4.**

**Name a figure that has a line of symmetry but does not have any roational symmetry.
**

**Solution:**

**Question 5.
**

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

**Solution:**

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