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Congruent Shapes Flashcards
GCSE Mathematics (Edexcel) 1MA1
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Congruent Shapes
Shapes that are identical in size and shape. They have the same angles and side lengths.
Conditions for Congruence
Two shapes are congruent if they can be mapped onto each other using a combination of transformations: reflection, rotation, or translation.
SSS Congruence Rule
Two triangles are congruent if all three sides of one triangle are equal to the corresponding sides of the other triangle.
SAS Congruence Rule
Two triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding sides and angle of the other triangle.
ASA Congruence Rule
Two triangles are congruent if two angles and the included side of one triangle are equal to the corresponding angles and side of the other triangle.
RHS Congruence Rule
Two right-angled triangles are congruent if the hypotenuse and one other side of one triangle are equal to the corresponding parts of the other triangle.
Transformations and Congruence
Congruent shapes can be mapped onto each other using transformations such as reflection, rotation, or translation.
Congruence vs Similarity
Congruent shapes are identical in size and shape, while similar shapes have the same shape but different sizes (proportional).
Proving Congruence
To prove two shapes are congruent, use one of the congruence rules (SSS, SAS, ASA, RHS) and show all corresponding parts are equal.
Real-Life Example of Congruence
Two identical jigsaw puzzle pieces are congruent because they are the same size and shape.

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