GCSE Maths textbook

GCSE Maths Angles, Polygons and Symmetry: lesson and practice questions

  • Strand Geometry and measures
  • Tier Foundation and Higher
  • Practice 125 questions with step-by-step solutions

Edexcel GCSE (9–1) Mathematics 1MA1, Foundation tier. Content references: G1, G3, G4, G6.

Open Foundation chapter Open Higher chapter

By the end of this chapter you will be able to

  • Use the correct words and notation for points, lines, angles, polygons and triangles
  • Use angles on a line, angles around a point and vertically opposite angles, and give reasons
  • Find missing angles in triangles, including isosceles and equilateral triangles
  • Use alternate, corresponding and co-interior angles on parallel lines
  • Know the properties of the special quadrilaterals and use their angle sums
  • Calculate interior and exterior angles of polygons and regular polygons
  • Find lines of symmetry and the order of rotational symmetry
  • Solve angle problems with algebra and write clear reasons (Higher: geometric proof)

You should already know

  • Measuring and drawing angles with a protractor
  • Solving simple linear equations (Chapter 9)
  • Basic names of 2D shapes

Where this leads

  • Pythagoras and trigonometry (Chapter 20)
  • Congruence and similarity (Chapter 21)
  • Circle theorems (Chapter 26)

Foundation lessons in this chapter

  1. 17.1 Geometry words and notation · Worksheet (PDF) · Answers (PDF)
  2. 17.2 Angles on a line, around a point and vertically opposite · Worksheet (PDF) · Answers (PDF)
  3. 17.3 Angles in triangles · Worksheet (PDF) · Answers (PDF)
  4. 17.4 Parallel lines · Worksheet (PDF) · Answers (PDF)
  5. 17.5 Quadrilaterals · Worksheet (PDF) · Answers (PDF)
  6. 17.6 Interior and exterior angles of polygons · Worksheet (PDF) · Answers (PDF)
  7. Summary and key words

Read the whole Foundation chapter on one page (good for printing).

Higher lessons in this chapter

  1. 17.1 Geometry words and notation · Worksheet (PDF) · Answers (PDF)
  2. 17.2 Angles on a line, around a point and vertically opposite · Worksheet (PDF) · Answers (PDF)
  3. 17.3 Angles in triangles · Worksheet (PDF) · Answers (PDF)
  4. 17.4 Parallel lines · Worksheet (PDF) · Answers (PDF)
  5. 17.5 Quadrilaterals · Worksheet (PDF) · Answers (PDF)
  6. 17.6 Interior and exterior angles of polygons · Worksheet (PDF) · Answers (PDF)
  7. Summary and key words

Read the whole Higher chapter on one page (good for printing).

Practise with real exam questions

Every exam board publishes its past papers and mark schemes free on its own website. We link you straight there, organised by subject.

GCSE Maths past papers