Students can Download Chapter 14 Symmetry Ex 14.3, Question and Answers, Notes Pdf, KSEEB Solutions for Class 7 Maths, Karnataka State Board Solutions help you to revise complete Syllabus and score more marks in your examinations.

## Karnataka State Syllabus Class 7 Maths Chapter 14 Symmetry Ex 14.3

Question 1.

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

Solution:

The circle and an equilateral triangle 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.

Solution:

An equilateral triangle has 3 lines of symmetry and rotational symmetry of order 3.

ii) a triangle with only symmetry and to rotational symmetry of order more than 1.

Solution:

Isosceles triangle has only one line symmetry but 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.

Solution:

A parallelogram has no line symmetry but has a rotational symmetry of order 2.

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

Solution:

An isosceles trapezium has one line of symmetry of order more than 1.

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 :

Question 5.

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

Solution:

i) Square

ii) Rectangle

Question 6.

After rotating by 600 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 is regular hexagon. The other angles are 120°, 180°, 240°, 300°and 360°.

Question 7.

Can we have a rotational symmetry of order more than 1 whose angle of rotation is

Solution:

i) 45° ?

yes

ii) 17° ?

No, It is possible