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# Draw, wherever possible, a rough sketch of:

(i) a triangle with both line and rotational symmetries of order more than 1.

(ii) a triangle with only line symmetry and no rotational symmetry of order more than 1.

(iii) a quadrilateral with a rotational symmetry of order more than 1 but not a line symmetry.

(iv) a quadrilateral with line symmetry but not rotational symmetry of order more than 1.

**Solution:**

(i) An equilateral triangle has both line and rotational symmetry of order more than 1.

(ii) An isosceles triangle has only one-line symmetry and no rotational symmetry of order more than 1.

(iii) A quadrilateral with a line symmetry may have rotational symmetry of order one but not more than one. Hence, it is not possible to draw.

(iv) A trapezium is a quadrilateral that has only one line of symmetry but not rotational symmetry of order more than 1.

**☛ Check: **NCERT Solutions for Class 7 Maths Chapter 14

**Video Solution:**

## Draw, wherever possible, a rough sketch of: (i) a triangle with both line and rotational symmetries of order more than 1. (ii) a triangle with only line symmetry and no rotational symmetry of order more than 1. (iii) a quadrilateral with a rotational symmetry of order more than 1 but not a line symmetry. (iv) a quadrilateral with line symmetry but not rotational symmetry of order more than 1.

Maths NCERT Solutions Class 7 Chapter 14 Exercise 14.3 Question 2

**Summary:**

(i) An equilateral triangle has both line and rotational symmetry of order more than 1, (ii) An isosceles triangle has only one- line symmetry and no rotational symmetry of order more than 1, (iii) A quadrilateral with a line symmetry may have rotational symmetry of order one but not more than one. Hence, it is not possible to draw, (iv) A trapezium is a quadrilateral which has only one line of symmetry but not rotational symmetry of order more than 1.

**☛ Related Questions:**

- If A Figure Has Two Or More Lines Of Symmetry Should It Have Rotational Symmetry Of Order More Than 1
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- Name The Quadrilaterals Which Have Both Line And Rotational Symmetry Of Order More Than 1
- After Rotating By 60 About A Centre A Figure Looks Exactly The Same As Its Original Position At What Other Angles Will This Happen For The Figure

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