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Year 8 - Maths

Constructing rhombi

Constructions

Unit Summary

In this unit we develop skills in using a pair of compasses and ruler to construct various accurate shapes and angles including triangles, rhombi, perpendicular lines and angle bisectors.

Lesson Summary

You will learn to use intersecting circles to construct rhombi from given lengths.

Key Notes

  • A rhombus can be created from two isosceles triangles.
  • An isosceles triangle can be constructed from a given base and side lengths using intersecting circles.
  • A rhombus can be constructed from intersecting circles using triangles.

Vocabulary To Learn

  • Rhombus: A rhombus is a parallelogram where all sides are the same length.
  • Rhombi: The plural of rhombus can be referred to as rhombi.

Common Mistakes To Avoid

  • Pupils may avoid using the pair of compasses and opt for a ruler instead.

3 Quick Questions (With Answers)

1. Solve this in steps: explain the method from this lesson and why each step matters.

A rhombus can be created from two isosceles triangles. An isosceles triangle can be constructed from a given base and side lengths using intersecting circles.

2. Use this key word in a maths sentence and explain it clearly. 'Rhombus'

A rhombus is a parallelogram where all sides are the same length. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: Pupils may avoid using the pair of compasses and opt for a ruler instead. Correction: Emphasise the efficiency and accuracy of using compasses instead of a ruler in the construction of their triangles.

More Lessons In This Unit

Browse all guides in the Year 8 Maths guide library.