Question

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

Solution

Square, rectangle, and rhombus are the quadrilaterals which have both line and rotational symmetry of order more than 1. A square has 4 lines of symmetry and rotational symmetry of order 4. A rectangle has 2 lines of symmetry and rotational symmetry of order 2. A rhombus has 2 lines of symmetry and rotational symmetry of order 2.

Some More Questions From Symmetry Chapter

State the number of lines of symmetry for the following figures:
(a) An equilateral triangle
(b) An isosceles triangle
(c) A scalene triangle
(d) A square
(e) A rectangle
(f) A rhombus
(g) A parallelogram
(h) A quadrilateral
(i) A regular hexagon
(j) A circle

Give three examples of shapes with no line of symmetry.

What other name can you give to the line of symmetry of
(a) an isosceles triangle?
(b)a circle?

Give the order of rotational symmetry for each figure:

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

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.

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

Fill in the blanks:

Shape Centre of Rotation Order of Rotation Angle of Rotation

Square
–

–

–

Rectangle
–

–

–

Rhombus
–

–

–

Equilateral Triangle
–

–

–

Regular Hexagon
–

–

–

Circle
–

–

–

Semi-circle
–

–

–

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Symmetry

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

Some More Questions From Symmetry Chapter

State the number of lines of symmetry for the following figures:
(a) An equilateral triangle
(b) An isosceles triangle
(c) A scalene triangle
(d) A square
(e) A rectangle
(f) A rhombus
(g) A parallelogram
(h) A quadrilateral
(i) A regular hexagon
(j) A circle

Give three examples of shapes with no line of symmetry.

What other name can you give to the line of symmetry of
(a) an isosceles triangle?
(b)a circle?

Give the order of rotational symmetry for each figure:

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

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

Fill in the blanks:

Shape Centre of Rotation Order of Rotation Angle of Rotation

Square
–

–

–

Rectangle
–

–

–

Rhombus
–

–

–

Equilateral Triangle
–

–

–

Regular Hexagon
–

–

–

Circle
–

–

–

Semi-circle
–

–

–

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?

Mock Test Series

NCERT Sample Papers

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Shape	Centre of Rotation	Order of Rotation	Angle of Rotation
Square	–	–	–
Rectangle	–	–	–
Rhombus	–	–	–
Equilateral Triangle	–	–	–
Regular Hexagon	–	–	–
Circle	–	–	–
Semi-circle	–	–	–

For Daily Free Study Material Join wiredfaculty

Symmetry

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

Some More Questions From Symmetry Chapter

State the number of lines of symmetry for the following figures:(a) An equilateral triangle(b) An isosceles triangle(c) A scalene triangle(d) A square(e) A rectangle(f) A rhombus(g) A parallelogram(h) A quadrilateral(i) A regular hexagon(j) A circle

Give three examples of shapes with no line of symmetry.

What other name can you give to the line of symmetry of(a) an isosceles triangle?(b)a circle?

Give the order of rotational symmetry for each figure:

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

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

Fill in the blanks: Shape Centre of Rotation Order of Rotation Angle of Rotation Square – – – Rectangle – – – Rhombus – – – Equilateral Triangle – – – Regular Hexagon – – – Circle – – – Semi-circle – – –

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?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

State the number of lines of symmetry for the following figures:
(a) An equilateral triangle
(b) An isosceles triangle
(c) A scalene triangle
(d) A square
(e) A rectangle
(f) A rhombus
(g) A parallelogram
(h) A quadrilateral
(i) A regular hexagon
(j) A circle

What other name can you give to the line of symmetry of
(a) an isosceles triangle?
(b)a circle?

Fill in the blanks:

Shape Centre of Rotation Order of Rotation Angle of Rotation

Square
–

–

–

Rectangle
–

–

–

Rhombus
–

–

–

Equilateral Triangle
–

–

–

Regular Hexagon
–

–

–

Circle
–

–

–

Semi-circle
–

–

–