5 (a) Write down the mathematical name of each of these shapes - OCR - GCSE Maths - Question 5 - 2020 - Paper 1
Question 5
5 (a) Write down the mathematical name of each of these shapes.
(i) A triangle with 3 equal sides.
(ii) A quadrilateral with 4 equal sides and no right angles.
(b... show full transcript
Worked Solution & Example Answer:5 (a) Write down the mathematical name of each of these shapes - OCR - GCSE Maths - Question 5 - 2020 - Paper 1
Step 1
(a)(i) A triangle with 3 equal sides.
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Answer
The mathematical name for a triangle with three equal sides is an equilateral triangle.
Step 2
(a)(ii) A quadrilateral with 4 equal sides and no right angles.
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Answer
The quadrilateral with 4 equal sides and no right angles is known as a rhombus.
Step 3
(b)(i) On the diagram, draw the rectangle's two lines of symmetry.
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Answer
To draw the rectangle's two lines of symmetry, draw one line vertically down the center and the other line horizontally across the center. These lines divide the rectangle into symmetrical halves.
Step 4
(b)(ii) Amaya says A rectangle is the only quadrilateral that has rotation symmetry of order 2. Is she correct? Show how you decide.
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Answer
Amaya is incorrect. A rectangle does have rotation symmetry of order 2 because it can be rotated 180 degrees and still look the same. However, other quadrilaterals such as squares also have rotation symmetry of order 2, as they can be rotated by both 90 degrees and 180 degrees and remain unchanged in appearance. Therefore, rectangles are not the only quadrilaterals with this property.
