If △AED and △CED are both right triangles, what triangle congruence could be used to prove that the two triangles are congruent?

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Today at 11:36 PM
Mathematics

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If △AED and △CED are both right triangles, what triangle congruence could be used to prove that the two triangles are congruent?

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Ashraf82 Ashraf82 · Answer 1 · 2025-03-22T23:42:36-04:00

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

#LearnwithBrainly

kxxlkatzzz kxxlkatzzz · Answer 2 · 2025-03-22T23:42:37-04:00

kxxlkatzzz kxxlkatzzz

Today at 11:42 PM

Answer:

D

Step-by-step explanation:

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