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.
Ring the mathematical name of the shape.
Pentagon Square Octagon Rhombus
How many lines of symmetry does the shape h... 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 shape illustrated in the diagram is a rhombus. It has equal-length sides and opposite angles that are equal, making its mathematical name a rhombus.
Step 2
How many lines of symmetry does the shape have?
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Answer
A rhombus has 2 lines of symmetry. These lines run diagonally from one vertex to the opposite vertex.
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:
A=21×d1×d2,
where (d_1) and (d_2) are the lengths of the diagonals. In this case, the diagonals of the rhombus are 4 cm and 3 cm. Therefore:
