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GCSE Mathematics · key term
Shapes that are exactly the same shape and size; corresponding lengths and angles are equal.
Used by AQA, Edexcel and OCR
Specification G7 · Paper 1, Paper 2, Paper 3
Revise: TransformationsTwo shapes are congruent if they have exactly the same shape and size: corresponding sides and angles match. Two shapes are similar if corresponding angles match and all corresponding sides have the same length ratio.
Specification G5, G6, G7 · Paper 1, Paper 2, Paper 3
Two shapes are congruent if they are exactly the same shape and size, so one can fit exactly on the other after a translation, rotation or reflection.
Revise: Congruence CriteriaIf they fit exactly, they are congruent: they have the same shape and the same size. You may slide, turn or flip a triangle to make it fit. A larger triangle with the same angles has the same shape, but it is not congruent.
Shapes that have the same size and shape, so corresponding sides and angles are equal.
A shape with exactly the same size and shape as another, so that one can fit exactly over the other.
Specification 9.02b · Paper 1 (Foundation), Paper 2 (Foundation), Paper 3 (Foundation), Paper 4 (Higher), Paper 5 (Higher), Paper 6 (Higher)
Two shapes that have exactly the same shape and size, although their positions or orientations may differ.
Revise: Congruence ApplicationsTwo congruent triangles are identical in shape and size. One could be translated, rotated or reflected to fit exactly over the other. Once congruence has been established, every pair of corresponding sides is equal and every pair of corresponding angles is equal.
When using congruent or similar triangles, match corresponding vertices before claiming that sides or angles correspond.
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