These NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.3 Questions and Answers are prepared by our highly skilled subject experts.

## NCERT Solutions for Class 7 Maths Chapter 14 Symmetry

## Exercise 14.3

Question 1.

Name any two figures that have both line symmetry and rotational symmetry.

Answer:

Question 2.

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 a rotational symmetry of order more than 1.

Answer:

(i) An equilateral triangle has three lines of symmetry and rotational symmetry of order 3.

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

(iii) A parallelogram has no line of symmetry but I has a rotational symmetry of order 2. A

(iv) An isosceles trapezium has one line of symmetry but no rotational symmetry ofordermore than 1.

Question 3.

If a figure has two or more lines of symmetry, should it have rotational symmetry of order more than 1.

Answer:

Yes

Question 4.

Fill in the blanks:

Answer:

Question 5.

Name the quadrilaterals which have both line and rotational symmetry of order more than 1.

Answer:

The square, rectangle and a rhombus are the quadrilaterals having both line and rotational symmetry.

Question 6.

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.

Answer:

The figure will look exactly the same as its original position at 120°, 180°, 240°, 300° and 360°.

Question 7.

Can we have a rotational symmetry of order more than 1 whose angle of rotation is (i) 45° (ii) 17°

Answer:

(i) 45° – yes

(ii) 17° – No