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 mathematical name of the shape is Rhombus. A rhombus is a type of quadrilateral where all sides are of equal length, and its opposite angles 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. In a rhombus, one line of symmetry runs diagonally from one vertex to the opposite vertex, and the other line of symmetry runs diagonally across the other two vertices.
Step 3
Work out the area of the shape.
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Answer
To find the area of the rhombus, we can use the formula:
Area=21×d1×d2
where (d_1) and (d_2) are the lengths of the diagonals. Given the rhombus drawn on a 1 cm grid, we can measure its diagonals to be 4 cm and 2 cm. Therefore:
