## RS Aggarwal Class 7 Solutions Chapter 18 Reflection and Rotational Symmetry Ex 18A

These Solutions are part of RS Aggarwal Solutions Class 7. Here we have given RS Aggarwal Solutions Class 7 Chapter 18 Reflection and Rotational Symmetry Ex 18A.

**Other Exercises**

- RS Aggarwal Solutions Class 7 Chapter 18 Reflection and Rotational Symmetry Ex 18A
- RS Aggarwal Solutions Class 7 Chapter 18 Reflection and Rotational Symmetry Ex 18B

**Tick (✓) the correct answer in each of Q.1 to Q.9**

**Question 1.**

**A scalene triangle has**

**(a) no line of symmetry**

**(b) one line of symmetry**

**(c) two lines of symmetry**

**(d) three lines of symmetry**

**Solution:**

(a) A scalene triangle has no line of symmetry

**Question 2.**

**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**

**Solution:**

(c) A rectangle has two lines of symmetry which are the lines joining the mid points of opposite sides.

**Question 3.**

**A square has**

**(a) one line of symmetry**

**(b) two lines of symmetry**

**(c) three lines of symmetry**

**(d) four lines of symmetry**

**Solution:**

(d) A square has four lines of symmetry which are two diagonal and two the lines joining the mid points of opposite sides.

**Question 4.**

**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**

**Solution:**

(b) A rhombus has two lines of symmetry which are the diagonals.

**Question 5.**

**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**

**Solution:**

(d) A circle has an unlimited number of lines of symmetry as its lines of symmetry is its diameter which are infinite in number.

**Question 6.**

**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**

**Solution:**

(a) ∆ABC in which AB = AC, is an isosceles triangle and AD ⊥ BC.

AD is the line of symmetry

**Question 7.**

**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**

**Solution:**

(a) ABCD is a kite in which AB = AD and BC = DC

Its line of symmetry will be one diagonal AC.

**Question 8.**

**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**

**Solution:**

(c) The letter O of the English Alphabet has two lines of symmetry as shown here in the figure.

**Question 9.**

**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**

**Solution:**

(a) The letter Z of the English Alphabet has no line of symmetry.

**Question 10.**

**Draw the line (or lines) of symmetry of each of the following figures.**

**Solution:**

The line/lines of symmetry have been drawn as given below :

**Question 11.**

**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) 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.**

**Solution:**

(i) True

(ii) True

(iii) True : The bisectors of angles are its lines of symmetry.

(iv) False : A rhombus has two lines of symmetry which are its diagonals.

(v) True : The two diagonals and two perpendicular bisector of its opposite sides are the lines of symmetry.

(vi) True : The perpendicular bisectors of opposite sides are the two lines of symmetry of the rectangle.

(vii) True : Each of the English Alphabet H, I, O and X has two lines of symmetry.

Hope given RS Aggarwal Solutions Class 7 Chapter 18 Reflection and Rotational Symmetry Ex 18A are helpful to complete your math homework.

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