Which of the following is NOT a valid way to prove two triangles congruent?
Explanation
📌 Step 1: List all valid congruence theorems
✅ SSS (Side-Side-Side)
✅ SAS (Side-Angle-Side)
✅ ASA (Angle-Side-Angle)
✅ AAS (Angle-Angle-Side)
✅ HL (Hypotenuse-Leg, right triangles only)
📌 Step 2: Why AAA doesn't work
AAA (Angle-Angle-Angle) proves that triangles are similar (same shape), but NOT necessarily congruent (same size). Two triangles can have identical angles but different side lengths.
📌 Answer: AAA is NOT valid for proving congruence.
💡 Example: A 3-4-5 triangle and a 6-8-10 triangle have the same angles but different sizes.