Mathematics Specification A - 4MA1 PearsonEdexcel

Symmetry

Akopọ

Symmetry is one of the most visual ideas in mathematics. Butterflies, snowflakes and company logos all use symmetry to create balance, and recognising the type and degree of symmetry in a shape is a key geometry skill.

This topic covers two kinds of symmetry: line symmetry (reflective) and rotational symmetry. You will learn to identify both in common 2D shapes and apply this knowledge to exam questions.

Awọn Afojusun

  1. Identify any lines of symmetry and the order of rotational symmetry of a given two-dimensional figure

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Akọ̀wé Ẹ̀kọ́

Fold a heart shape down the middle and the two halves match perfectly. Spin a recycling symbol 120 degrees and it looks the same. These are the two faces of symmetry, and being able to spot them quickly earns straightforward marks.

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Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.

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  1. How many lines of symmetry does a square have? A) 1 B) 2 C) 4 D) 8 Answer: C
  2. What is the order of rotational symmetry of an equilateral triangle? A) 1 B) 2 C) 3 D) 6 Answer: C
  3. Which shape has no lines of symmetry but has rotational symmetry of order 2? A) Rectangle B) Parallelogram C) Kite D) Trapezium Answer: B
  4. A regular polygon has 10 lines of symmetry. How many sides does it have? A) 5 B) 8 C) 10 D) 20 Answer: C
  5. How many lines of symmetry does a scalene triangle have? A) 0 B) 1 C) 2 D) 3 Answer: A

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