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      Checking and securing understanding of properties of shapes

      Lesson details

      Learning outcome

      I can identify a shape from its properties and state the properties of a given shape.

      Key learning points

      1. Many shapes have similar properties.
      2. It is not always clear which shape is being described so more details may be needed.
      3. Knowing the properties of shapes can help you solve more complex problems.

      Keywords

      • Parallelogram - A parallelogram is a quadrilateral with two pairs of parallel and equal sides.

      • Rhombus - A rhombus is parallelogram where all the sides are the same length.

      • Trapezium - A trapezium is a quadrilateral with exactly one pair of parallel sides.

      • Equilateral triangle - Equilateral triangles have three equal-sized angles and three edges of equal length. They are regular triangles.

      • Isosceles triangle - Isosceles triangles have two angles that are equal. That is also true for its side lengths: two sides are of equal length.

      Common misconception

      Angles facts cannot be used with shapes as shapes have line segments rather than lines.

      It is the properties of the lines, such as whether they are parallel, that are important, not their length.

      Teacher tip

      -

      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

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      Prior knowledge starter quiz

      6 Questions

      Q1.
      Which angle fact could be used to justify why $$a=130$$ using a single statement?

      An image in a quiz
      Alternate angles in parallel lines are equal.
      Angles that form a straight line are supplementary.
      Co-interior angles in parallel lines are supplementary.
      Corresponding angles in parallel lines are equal.
      Correct answer: Vertically opposite angles are equal.

      Q2.
      Which angle fact could be used to justify why $$b=50$$ using a single statement?

      An image in a quiz
      Alternate angles in parallel lines are equal.
      Correct answer: Angles that form a straight line are supplementary.
      Co-interior angles in parallel lines are supplementary.
      Corresponding angles in parallel lines are equal.
      Vertically opposite angles are equal.

      Q3.
      Which angle fact could be used to justify why $$c=130$$ using a single statement?

      An image in a quiz
      Correct answer: Alternate angles in parallel lines are equal.
      Angles that form a straight line are supplementary.
      Co-interior angles in parallel lines are supplementary.
      Corresponding angles in parallel lines are equal.
      Vertically opposite angles are equal.

      Q4.
      Which angle fact could be used to justify why $$d=130$$ using a single statement?

      An image in a quiz
      Alternate angles in parallel lines are equal.
      Angles that form a straight line are supplementary.
      Co-interior angles in parallel lines are supplementary.
      Correct answer: Corresponding angles in parallel lines are equal.
      Vertically opposite angles are equal.

      Q5.
      Which angle fact could be used to justify why $$e=50$$ using a single statement?

      An image in a quiz
      Alternate angles in parallel lines are equal.
      Angles that form a straight line are supplementary.
      Correct answer: Co-interior angles in parallel lines are supplementary.
      Corresponding angles in parallel lines are equal.
      Vertically opposite angles are equal.

      Q6.
      If the pair of horizontal lines were dragged further apart from each other, what would happen to the values of $$a$$, $$c$$ and $$d$$?

      An image in a quiz
      They would all become greater than 130.
      They would all become less than 130.
      Correct answer: They would all remain equal to 130.
      Some would be greater than 130 and some would be less than 130.

      6 Questions

      Q1.
      Match the triangles with the triangle types.

      An image in a quiz
      Correct Answer:A,equilateral
      Correct Answer:B,isosceles
      Correct Answer:C,scalene

      Q2.
      Match the quadrilaterals with the quadrilateral types.

      An image in a quiz
      Correct Answer:A,square
      Correct Answer:B,rhombus
      Correct Answer:C,trapezium
      Correct Answer:D,rectangle
      Correct Answer:E,parallelogram
      Correct Answer:F,kite

      Q3.
      The size of the angle $$x$$ is °.

      An image in a quiz
      Correct Answer: 88, eighty eight

      Q4.
      The size of the angle $$y$$ is °.

      An image in a quiz
      Correct Answer: 92, ninety two

      Q5.
      Which statements are true about $$z$$?

      An image in a quiz
      $$z = 92$$
      $$z = y$$
      Correct answer: $$z = 180 - y$$
      Correct answer: $$z = x$$
      $$z = 180 - x$$

      Q6.
      The size of the angle $$x$$ is °.

      An image in a quiz
      Correct Answer: 59, fifty nine

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