Gujarat Board GSEB Textbook Solutions Class 7 Maths Chapter 14 Symmetry Ex 14.3 Textbook Questions and Answers.

## Gujarat Board Textbook Solutions Class 7 Maths Chapter 14 Symmetry Ex 14.3

Question 1.

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

Solution:

An equilateral triangle and circle have both line symmetry and rotational symmetry.

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.

Solution:

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

(ii) It is not possible to have such a triangle.

(iii) Trapezium

(iv) Not possible.

Question 3.

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

Solution:

Yes.

Question 4.

Fill in the blanks:

Solution:

Question 5.

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

Solution:

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

Solution:

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°?

Solution:

(i) Yes

(ii) No.