The complete statements are: 3. ∠A ≅ ∠D; 4. ∠A ≅ ∠AEB; 5. EC ≅ DC; 6. EB ≅ EC.
What is an isosceles triangle?
An isosceles triangle is a type of triangle that has two sides of equal length, and consequently, two angles of equal measure (base angles).
3. If AE ≅ DE, it means triangle AED is isosceles triangle, then ∠A ≅ ∠D.
4. If AB ≅ EB, it means triangle ABE is isosceles triangle, then ∠A ≅ ∠AEB.
5. If ∠D ≅ ∠CED, it means triangle CED is isosceles triangle, then EC ≅ DC.
6. If ∠EBC ≅ ∠ECB, it means triangle EBC is isosceles triangle, then EB ≅ EC.