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(a) Write down the number of lines of symmetry of this hexagon - OCR - GCSE Maths - Question 2 - 2017 - Paper 1
Question 2
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(a) Write down the number of lines of symmetry of this hexagon.
(b) Write down the order of rotation symmetry of this shape.
(c) A t... show full transcript
Worked Solution & Example Answer:2
(a) Write down the number of lines of symmetry of this hexagon - OCR - GCSE Maths - Question 2 - 2017 - Paper 1
Step 1
Write down the number of lines of symmetry of this hexagon.
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Answer
A regular hexagon has 6 lines of symmetry. Each line can be drawn through a vertex and the opposite side, or through the midpoints of opposite sides.
Step 2
Write down the order of rotation symmetry of this shape.
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Answer
The order of rotation symmetry for this shape (a regular plus sign) is 4, as it can be rotated 90°, 180°, 270°, and back to the original position.
Step 3
Write down the mathematical name of this type of triangle.
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Answer
The type of triangle that has just one line of symmetry is called an isosceles triangle.
Step 4
Explain why Sara is not correct.
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Answer
Sara is incorrect because not all parallelograms have 2 lines of symmetry. For example, rectangles have 2 lines of symmetry, while rhombuses only have 2 lines of symmetry as well, but they do not all share the same rotational symmetry. Additionally, parallelograms like rhombuses can have different lines of symmetry depending on their angles.
