Congruent triangles (Edexcel GCSE Maths): Flashcards

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Congruent triangles
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Congruent triangles

Triangles that are exactly the same shape and size

Conditions needed to prove congruence

One of four specific conditions

SSS congruence condition

All three corresponding sides equal

AAS congruence condition

Two angles and one corresponding side equal

SAS congruence condition

Two sides and the included angle between them equal

What must the angle be in SAS?

The included angle between the two sides

RHS congruence condition

Right angle, equal hypotenuses, one other side equal

Which triangles does RHS apply to?

Right-angled triangles only

What is the hypotenuse?

Longest side opposite the right angle (90°90°)

4 steps to prove congruence

Identify → State → Name → Conclude

Common sides in triangles

Shared sides are equal in both triangles

Sum of angles in a triangle

180°180°

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