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Constructing the Line of Symmetry When Two Fixed Points Are Symmetric with Respect to the Required Line.

Can you draw ...

Question

Can you draw a triangle having:

(i) exactly one line of symmetry.
(ii) exactly two lines of symmetry.
(iii) three lines of symmetry.
(iv) no line of symmetry.

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Solution

(i) Yes; isosceles triangle

(ii) No

(iii) Yes; equilateral triangle

(iv) Yes; scalene triangle

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Similar questions

Q. On a squared paper, sketch the following:

(i) A triangle with a horizontal line of symmetry but no vertical line of symmetry.
(ii) A quadrilateral with both horizontal and vertical lines of symmetry.
(iii) A quadrilateral with a horizontal line of symmetry but no vertical line of symmetry.
(iv) A hexagon with exactly two lines of symmetry.
(v) A hexagon with six lnes of symmetry.

_____ triangle has exactly one line of symmetry.

Question 4(c)

Can you draw a triangle which has exactly three lines of symmetry? Sketch a rough figure.

Q. Name a triangle which has exactly one line of symmetry. Show line of symmetry in figure.

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.

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Constructing the Line of Symmetry When Two Fixed Points Are Symmetric with Respect to the Required Line.

Standard VI Mathematics

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