State the number of lines of symmetry for the following figures:
(i) An equilateral triangle
(ii) An isosceles triangle
(iii) A scalene triangle
(iv) A rectangle
(v) A rhombus
(vi) A square
(vii) A parallelogram
(viii) A quadrilateral
(ix) A regular pentagon
(x) A regular hexagon
(xi) A circle
(xii) A semicircle

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Solution

(i) An equilateral triangle has 3 lines of symmetry.
(ii) An isosceles triangle has 1 line of symmetry.
(iii) A scalene triangle has no line of symmetry.
(iv) A rectangle has 2 lines of symmetry.
(v) A rhombus has 2 lines of symmetry.
(vi) A square has 4 lines of symmetry.
(vii) A parallelogram has no line of symmetry.
(viii) A quadrilateral has no line of symmetry.
(ix) A regular pentagon has 5 lines of symmetry.
(x) A regular hexagon has 6 lines of symmetry.
(xi) A circle has an infinite number of lines of symmetry all along the diameters.
(xii) A semicircle has only one line of symmetry.

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Similar questions

State the number of lines of symmetry for the following figures:

(a) An equilateral triangle

(b) An isosceles triangle

(d) A square

(e) A rectangle

(f) A rhombus

(g) A parallelogram

(h) A quadrilateral

(i) A regular hexagon

(j) A circle

Q. Complete the following table:

Shapes	Rough Figure	Number of lines of symmetry
(i) Scalene triangle		0
(ii) Isosceles triangle		1
(iii) Equilateral triangle
(iv) Rectangle
(v) Square
(vi) Parallelogram
(vii) Rhombus
(viii) Line
(ix) Line segment
(x) Angle
(xi) Isosceles trepezium
(xii) Kite
(xiii) Arrow-head
(xiv) Semi-circle
(xv) Circle
(xvi) Regular pentagon
(xvii) Regular hexagon

Q. Which of the following has an infinite number of lines of symmetry?
(a) Equilateral triangle
(b) Isosceles triangle
(c) Regular hexagon
(d) Circle

Q. State whether the following statements are true of false:

(i) A right-angled triangle can have at most one line of symmetry.
(ii) An isosceles triangle with more than one line of symmetry must be an equilateral triangle.
(iii) A pentagon with one line of symmetry can be drawn.
(iv) A pentagon with more than one line of symmetry must be regular.
(v) A hexagon with one line of symmetry can be drawn.
(vi) a hexagon with more than two lines of symmetry must be regular.

$l$ Queston 67

Match the following:

$\begin{matrix} Shape & Number of lines symmetry (i) & Isosceles triangle & (a) & 6 (i i) & Square & (b) & 5 (i i i) & Kite & (c) & 4 (i v) & Equilateral triangle & (d) & 3 (v) & Rectangle & (e) & 2 (v i) & Regular hexagon & (f) & 1 (v i i) & Scalene triangle & (g) & 0 \end{matrix}$

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