The two triangles are congruent by AAS postulate
Step-by-step explanation:
The cases of congruence are:
1. SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ
2. SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and
including angle in the 2nd Δ
3. ASA ⇒ 2 angles and the side whose joining them in the 1st Δ
≅ 2 angles and the side whose joining them in the 2nd Δ
4. AAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles
and one side in the 2nd Δ
5. HL ⇒ hypotenuse leg of the 1st right angle Δ ≅ hypotenuse
leg of the 2nd right angle Δ
In the attached figure The 2 Δs AED and CDE
∵ ∠A ≅ ∠C
∵ ∠E ≅ ∠D ⇒ right angles
∵ ED ≅ DE ⇒ common side
- 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the
2nd Δ
∴ Δ AED ≅ Δ CDE by AAS postulate ⇒ case 4
The two triangles are congruent by AAS postulate
Learn more:
You can learn more about congruence in brainly.com/question/3202836
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