A shape is drawn on a one-centimetre grid - OCR - GCSE Maths - Question 5 - 2018 - Paper 1
Question 5
A shape is drawn on a one-centimetre grid.
(a) Ring the mathematical name of the shape.
Pentagon Square Octagon Rhombus
(b) How many lines of symmetry does the... show full transcript
Worked Solution & Example Answer:A shape is drawn on a one-centimetre grid - OCR - GCSE Maths - Question 5 - 2018 - Paper 1
Step 1
Ring the mathematical name of the shape.
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Answer
The mathematical name of the shape is a Rhombus. This can be identified as a quadrilateral with all sides of equal length and opposite angles that are equal.
Step 2
How many lines of symmetry does the shape have?
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Answer
The shape has 2 lines of symmetry. These lines can be drawn diagonally through the midpoints of opposite angles.
Step 3
Work out the area of the shape.
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Answer
To find the area of a rhombus, we can use the formula:
ext{Area} = rac{1}{2} imes d_1 imes d_2
Where d1 and d2 are the lengths of the diagonals. For the rhombus drawn on a one-centimetre grid, the diagonals can be identified as:
