Help your students prepare for their Maths GCSE with this free congruent shapes worksheet of 44 questions and answers
Congruent shapes are 2d shapes which are exactly the same shape and size. In order to identify pairs of congruent shapes each of the corresponding sides of the shapes must be the same and each of the corresponding angles of the shapes must be the same (although they may be flipped or rotated).
Whilst congruent figures can be any 2d shape including triangles, quadrilaterals and polygons, there are some special rules which help us identify congruent triangles.
In pairs of triangles, congruence can be proved if any of the following criteria can be met: SSS (all three sides of the two triangles are equal), ASA (two angles and the side between them are equal), SAS (two sides and the angle between them are equal), RHS (The triangles both have right angles, the hypotenuses are equal and one other side is equal).
Congruence differs from mathematical similarity in that we define similar shapes as shapes which are the same shape but not necessarily the same size whereas congruent shapes are exactly the same shape and size.
Looking forward, students can then progress to additional geometry worksheets, for example a 3D shapes worksheet or an area of compound shapes worksheet.
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