📚 Main Topics

1. Definition of Congruent Triangles

   • Two triangles are congruent if their corresponding angles and sides are congruent.

2. Identifying Congruent Triangles

   • Importance of the order of vertices when identifying congruent triangles (e.g., triangle ABC is congruent to triangle MNO).

3. Postulates for Proving Triangle Congruence

   • Side-Side-Side (SSS) PostulateIf three sides of one triangle are congruent to three sides of another triangle, the triangles are congruent.
   • Side-Angle-Side (SAS) PostulateIf two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the triangles are congruent.
   • Angle-Side-Angle (ASA) PostulateIf two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the triangles are congruent.
   • Angle-Angle-Side (AAS) PostulateIf two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, the triangles are congruent.

✨ Key Takeaways

• The order of vertices is crucial when identifying congruent triangles.
• Corresponding parts of congruent triangles are congruent (CPC, TC).
• Understanding the four postulates (SSS, SAS, ASA, AAS) is essential for proving triangle congruence.

🧠 Lessons

• Always check the corresponding angles and sides when determining if triangles are congruent.
• Use the appropriate postulate based on the information given about the triangles.
• Practice identifying congruent triangles through diagrams and applying the postulates to reinforce understanding.