Mathematics Specification A - 4MA1 PearsonEdexcel

Symmetry

Muhtasari

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.

Malengo

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

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Maelezo ya Somo

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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Tathmini ya Somo

Hongera kwa kukamilisha somo la Symmetry. Sasa kwa kuwa umechunguza dhana na mawazo muhimu, ni wakati wa kuweka ujuzi wako kwa mtihani. Sehemu hii inatoa mazoezi mbalimbali maswali yaliyoundwa ili kuimarisha uelewaji wako na kukusaidia kupima ufahamu wako wa nyenzo.

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Tumia sehemu hii ya tathmini kama fursa ya kuimarisha uelewa wako wa mada na kubaini maeneo yoyote ambapo unaweza kuhitaji kusoma zaidi. Usikatishwe tamaa na changamoto zozote utakazokutana nazo; badala yake, zitazame kama fursa za kukua na kuboresha.

  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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