Choose exam board for KS4 Computer Science (GCSE)
Choose exam board for KS4 English
Choose exam board for KS4 French
Choose exam board for KS4 Geography
Choose exam board for KS4 German
Choose exam board for KS4 History
Choose tier for KS4 Maths
Choose exam board for KS4 Music
Choose exam board for KS4 Physical education (GCSE)
Choose exam board for KS4 Religious education (GCSE)
Choose exam board for KS4 Spanish

      Construct quadrilaterals with and without parallel and perpendicular sides

      Lesson details

      Learning outcome

      I can use equipment to construct and compare quadrilaterals with and without parallel and perpendicular sides.

      Key learning points

      1. Construction strips allow you to create different polygons.
      2. Lines are perpendicular when they are at right angles to each other.
      3. Lines are parallel because they are always the same distance apart.

      Keywords

      • Polygon - A polygon is a 2D shape made up of three or more straight lines.

      • Perpendicular - Two lines which meet at a right angle are perpendicular.

      • Parallel - Parallel lines are straight lines that are always the same distance apart. They never get closer together or further apart.

      Common misconception

      Pupils may find it challenging to identify specific quadrilaterals e.g. trapeziums when making them out of construction sticks as it can be harder to see the properties.

      Using a ruler to draw the shape, using the inside of the construction sticks, can support pupils in seeing and identifying the key properties to help them classify a quadrilateral.

      Teacher tip

      It is important that children construct polygons before they draw them. Construction materials are ideal however number rods or strips of paper can also be used to similar effect. See Additional Materials.

      Licence

      This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0
      except where otherwise stated. See Oak's terms & conditions
      (Collection 2).

      Lesson video

      Loading...

      Prior knowledge starter quiz

      6 Questions

      Q1.
      Select the triangles.

      An image in a quiz
      An image in a quiz
      Correct Answer: An image in a quiz
      An image in a quiz
      Correct Answer: An image in a quiz
      An image in a quiz

      Q2.
      How many pairs of parallel sides do these shapes have? Match the shape with the correct number of pairs of parallel sides.

      An image in a quiz
      Correct Answer:A,1

      1

      Correct Answer:B,0

      0

      Correct Answer:C,2

      2

      Correct Answer:D,3

      3

      Q3.
      How many pairs of perpendicular sides do these shapes have? Match the shape with the correct number of pairs of perpendicular sides.

      An image in a quiz
      Correct Answer:A,1

      1

      Correct Answer:B,2

      2

      Correct Answer:C,3

      3

      Q4.
      Look at this polygon. Match the different properties to the correct number.

      An image in a quiz
      Correct Answer:5,is the number of sides.

      is the number of sides.

      Correct Answer:2,is the number of pairs of parallel sides.

      is the number of pairs of parallel sides.

      Correct Answer:3,is the number of pairs of perpendicular sides.

      is the number of pairs of perpendicular sides.

      Q5.
      How many pairs of parallel sides does this polygon have? pairs of parallel sides.

      An image in a quiz
      Correct Answer: 2, two

      Q6.
      How many pairs of perpendicular sides does this polygon have? pairs of perpendicular sides.

      An image in a quiz
      Correct Answer: 3

      6 Questions

      Q1.
      Match the start and end of the statements correctly.

      Correct Answer:Perpendicular sides,meet at a right angle.

      meet at a right angle.

      Correct Answer:Parallel sides,always stay the same distance apart.

      always stay the same distance apart.

      Q2.
      This quadrilateral has one right angle. What else do you know?

      An image in a quiz
      It has one pair of parallel sides.
      Correct answer: It has one pair of perpendicular sides.

      Q3.
      Which statements about this polygon are true?

      An image in a quiz
      Correct answer: It is a pentagon.
      Correct answer: It has two pairs of parallel sides.
      It has no pairs of parallel sides.
      Correct answer: It has 3 pairs of perpendicular sides.

      Q4.
      Look at this quadrilateral. Match the properties with the correct numbers

      An image in a quiz
      Correct Answer:4,is the number of right angles.

      is the number of right angles.

      Correct Answer:2,is the number of pairs of parallel sides.

      is the number of pairs of parallel sides.

      Correct Answer:4,is the number of pairs of perpendicular sides.

      is the number of pairs of perpendicular sides.

      Q5.
      Look at the polygons. Which statements are true?

      An image in a quiz
      Correct answer: Both polygons are trapeziums.
      Correct answer: Both polygons have one pair of parallel sides.
      Both polygons have one pair of perpendicular sides
      Correct answer: Both polygons are quadrilaterals

      Q6.
      Look at the polygons. Which statements are true?

      An image in a quiz
      Both polygons are rectangles.
      Correct answer: Both polygons have two pairs of parallel sides.
      Both polygons have two pairs of perpendicular sides.
      Correct answer: Both polygons are parallelograms.

      To help you plan your 3 maths lesson on: Construct quadrilaterals with and without parallel and perpendicular sides, download all teaching resources for free and adapt to suit your pupils' needs...