Polygon properties and symmetry

Sample Polygon properties and symmetry questions

A few of the 37 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 11 markGrade 1-2
   A rectangle has all angles equal to 90° but not all sides equal. Is a rectangle (that is not a square) a regular or an irregular polygon?
   Show the worked solution

   A polygon is irregular if its sides and/or angles are not all equal. A rectangle that is not a square has all angles equal to 90°, but its sides are not all equal - so it is an irregular quadrilateral.
2. Question 21 markGrade 2-3
   A polygon with 3 sides is called what?
   Show the worked solution

   A polygon with 3 sides is called a triangle (tri- means three). It is the polygon with the fewest possible sides.
3. Question 31 markGrade 2-3
   Every shape, no matter how irregular, has rotational symmetry of at least what order, simply by turning it a full 360° back to its start?
4. Question 4

What are the common mistakes in Polygon properties and symmetry?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

• Overcounts the required total

  A regular hexagon has 6 lines of symmetry, not 12.

• Confuses the named polygon with a 4-sided polygon (quadrilateral)

  A quadrilateral has 4 sides. A polygon with 3 sides is a triangle.

• Confuses the named polygon with a 6-sided polygon (hexagon)

  A hexagon has 6 sides. A polygon with 5 sides is a pentagon.

Quick answers about Polygon properties and symmetry

How many Polygon properties and symmetry practice questions are there?

There are 37 self-marking GCSE and IGCSE Maths questions on Polygon properties and symmetry, written for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Core tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Polygon properties and symmetry?

No. You can start practising Polygon properties and symmetry straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.