MENU

Chapter 14 Symmetry Ex 14.3 Solutions

Question - 1 : - Name any two figures that have both line symmetry and rotational symmetry.

Answer - 1 : - English alphabet H and O both have 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.

Answer - 2 : -

(i) Equilateral triangle has 3 rotational symmetries.
 
(ii) Not possible.
(iii)  
(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?

Answer - 3 : -


Yes. The above figure has two lines of symmetry and also rotational symmetry of order 2.

Question - 4 : - Fill in the blanks:

Shape

Centre of rotation

Order of rotation

Angle of rotation

Square

Rectangle

Rhombus

Equilateral triangle

Regular hexagon

Circle

Semicircle

Answer - 4 : -

Shape

Centre of rotation

Order of rotation

Angle of rotation

Square

Point of intersection of diagonals

4

90°

Rectangle

Point of intersection of diagonals

4

90°

Rhombus

Point of intersection of diagonals

4

90°

Equilateral triangle

Point of intersection of medians

3

120°

Regular hexagon

Point of intersection of diagonals

6

60°

Circle

Centre

Infinite

Every angle

Semicircle

Centre

4

90°

Question - 5 : - Name the quadrilaterals which have both line and rotational symmetry of order more than 1.

Answer - 5 : - Square, rectangles and rhombus are such quadrilateral which have 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 - 6 : - If a figure is rotated through the angles 120°, 180°, 240°, 300° and 360°, it looks exactly the same.

Question - 7 : -
Can we have a rotational symmetry of order more than 1 whose angle of rotation is
(i) 45°?
(ii) 17°?

Answer - 7 : -

(i) Yes
(ii) No

Free - Previous Years Question Papers
Any questions? Ask us!
NodeJS Interview Questions Answers
ASP.Net Interview Questions Answers
Interview Questions Answers
×