Quadrilaterals
Quadrilaterals are four-sided shapes whose interior angles always sum to 360 degrees.
▶ Interact
Play with the controls to see the idea in action.
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Quadrilaterals are four-sided shapes whose interior angles always sum to 360 degrees.
- Squares, rectangles and rhombuses are special parallelograms
- A trapezium has one pair of parallel sides
- Kites have two pairs of adjacent equal sides
🧠 Quick quiz
Three questions. Score 2 or more to complete the topic.
What is Quadrilaterals?
Within Mathematics, which covers numbers, algebra, geometry, trigonometry and statistics from first principles to exam level, this topic explains Quadrilaterals. Maths builds step by step, so each topic here gives you a rule, a picture and a quick check you can use on homework and in exams.
Check that you can explain Quadrilaterals in your own words and give one example from everyday life. If you can do that, you have understood the core idea.
Understanding Quadrilaterals gives you a reliable method you will reuse in later maths units, in science lessons and in data work.
Quadrilaterals in detail
A quadrilateral is a four-sided shape whose interior angles add to 360°. Special types include the square, rectangle, parallelogram, rhombus, trapezium and kite, each with its own properties of equal sides, parallel sides, equal angles and diagonals.
For example, a parallelogram has opposite sides parallel and equal and diagonals that bisect each other, a rhombus has four equal sides with diagonals that cross at right angles, and a kite has two pairs of adjacent equal sides. Knowing these properties helps you find missing angles and lengths and classify shapes in proofs.
How the interactive helps you understand Quadrilaterals
Watch the shape transformation in the interactive. Use any sliders or buttons it offers to change the values and see how the shape transformation responds.
Before you change anything, predict the result. Then change one value at a time and check whether your prediction was right. This is a quick way to build a correct mental model of Quadrilaterals.
Real-life uses and examples
- Explain Quadrilaterals to a friend with a simple picture, such as a row of tiles or a bag of sweets.
- Spot Quadrilaterals in exam questions, where it often sits inside a short word problem.
- Check a homework answer about Quadrilaterals by estimating first, then working it out step by step.
Common mistakes to avoid
- Memorising the steps for Quadrilaterals without checking why they work.
- Forgetting units, signs or brackets when you apply Quadrilaterals.
- Learning the definition without testing it. Use the quiz and the interactive to check that you can apply the idea.
Frequently asked questions about Quadrilaterals
What is Quadrilaterals?
Quadrilaterals are four-sided shapes whose interior angles always sum to 360 degrees.
What are the most important points about Quadrilaterals?
The main points are: Squares, rectangles and rhombuses are special parallelograms; A trapezium has one pair of parallel sides; Kites have two pairs of adjacent equal sides.
Why is Quadrilaterals useful?
Understanding Quadrilaterals gives you a reliable method you will reuse in later maths units, in science lessons and in data work.
How can I practise Quadrilaterals?
Open the interactive at the top of this page and change the controls one at a time. Predict the result before each change, then take the three-question quiz. A score of two or more marks the topic as complete on this device.
Which topics are related to Quadrilaterals?
Related topics in Mathematics include Similarity, Area of Trapezium and Parallelogram, Arcs and Sectors.