Mathematics Specification A - 4MA1 PearsonEdexcel

Symmetry

Overview

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.

Objectives

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

Mind map

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Flashcards

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Lesson Note

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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Lesson Evaluation

Congratulations on completing the lesson on Symmetry. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.

You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.

Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.

  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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