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What you need to know
What you need to know:
Two shapes are congruent if they are the same shape and the same size. Geometrically, this means that all side lengths and all angles will be identical. You should be able to identify congruent shapes, including being able to use the 4 criteria for determining whether two triangles are congruent. Those criteria tell you what you require two triangles to have in common to ensure that they are congruent. Those requirements for commonality are:
- SAS – side, angle, side – two side lengths and the angle between them;
- ASA – angle, side, angle – two angles and the side length between them;
- SSS – side, side, side – all three side lengths;
- RHS – right-angle, hypotenuse, side – a right-angle, the length of the hypotenuse, and the length of one other side.
You should be able to quote these criteria if a question asks you to explain or show why two triangles are congruent.
Congruent Shapes Revision and Worksheets
If you are looking for congruent shape homework sheets to set your students or you need some inspiration for the new GCSE Maths lessons you are devising then you will find them on this congruent shapes resource page. For a whole host of other topics please visit our specialist GCSE Maths revision page. Whether you are a Maths teacher in London or you tutor GCSE Maths in Harrogate, the resources we supply will be of use.
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