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Congruent Triangles Flashcards
GCSE Mathematics (Edexcel) 1MA1
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Congruent triangles
Triangles that are exactly the same in size and shape, with corresponding sides and angles equal.
SSS (Side-Side-Side) Congruence
Two triangles are congruent if all three sides of one triangle are equal to the corresponding sides of the other triangle.
SAS (Side-Angle-Side) Congruence
Two triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding parts of the other triangle.
ASA (Angle-Side-Angle) Congruence
Two triangles are congruent if two angles and the included side of one triangle are equal to the corresponding parts of the other triangle.
AAS (Angle-Angle-Side) Congruence
Two triangles are congruent if two angles and a non-included side of one triangle are equal to the corresponding parts of the other triangle.
RHS (Right-Angle-Hypotenuse-Side) Congruence
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.
Included angle
The angle formed between two given sides of a triangle.
Corresponding sides
Sides in the same relative position in two triangles being compared for congruence.
Corresponding angles
Angles in the same relative position in two triangles being compared for congruence.
Proving congruence
To prove two triangles are congruent, use one of the criteria: SSS, SAS, ASA, AAS, or RHS.
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