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Question
Can you draw a triangle which has exactly two lines of symmetry? Sketch a rough figure.
[3 marks]
Can you draw a triangle which has exactly two lines of symmetry? Sketch a rough figure.
[3 marks]
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Solution
An equilateral triangle has three lines of symmetry.
[1 mark]
An isosceles triangle has one line of symmetry.
AB = AC [1 mark]
A scalene triangle has zero lines of symmetry (no line of symmetry). [0.5 mark]
Therefore, no such triangle can be formed that has exactly two lines of symmetry. [0.5 mark]
[1 mark]
An isosceles triangle has one line of symmetry.
AB = AC [1 mark]
A scalene triangle has zero lines of symmetry (no line of symmetry). [0.5 mark]
Therefore, no such triangle can be formed that has exactly two lines of symmetry. [0.5 mark]
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