Congruent Triangles
Learn what congruent triangles are and how to identify them using SSS, SAS, ASA, and RHS. Let's get started! 🚀
Video Lesson
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Flashcards
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%20Congruent%20Triangles%20(Angle-Side-Angle).webp)
%20Congruent%20Triangles%20(RHS).webp)
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🛎️ What Are Congruent Triangles?
- Two triangles are congruent if they have the same size and shape.
- This means all corresponding sides and angles are equal.
🛎️ How Can You Recognise Congruent Triangles?
- Congruent triangles can be moved to overlap perfectly.
- This can be done by translating, reflecting, or rotating.
🛎️ SSS (Side-Side-Side)
- Two triangles are congruent if all three corresponding sides are equal.
- The angles do not need to be given.
🛎️ SAS (Side-Angle-Side)
- Two triangles are congruent if two corresponding sides and the included angle are equal.
- The angle must be the included angle.
🛎️ ASA (Angle-Side-Angle)
- Two triangles are congruent if two corresponding angles and the included side are equal.
- The side must be between the two angles.
🛎️ RHS (Right-Angle-Hypotenuse-Side)
- Applies only to right-angled triangles.
- Triangles are congruent if they have the same hypotenuse and one equal side.
🛎️ Common Pitfall
- SSA does NOT guarantee congruence.
- Two equal sides and a non-included angle are not enough to prove congruence.
Practice Questions
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Interactive Activity
Explore the 4 rules of triangle congruence: SSS, SAS, ASA, RHS
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