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belka [17]
3 years ago
8

Indicate the method you would use to prove the two A's . If no method applies, enter "none".

Mathematics
1 answer:
Natalija [7]3 years ago
8 0

Answer:

The method would use to prove that the two Δs ≅ is AAS ⇒ D

Step-by-step explanation:

Let us revise the cases of congruence:  

  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 and leg of the 1st right Δ ≅ hypotenuse and leg of the 2nd right Δ  

In the given figure

∵ The two triangles have an angle of measure 30°

∵ The two triangles have an angle of measure 70°

∵ The two triangles have a side of length 10

∴ The two triangles have two equal angles and one equal side

→ By using rule 4 above

∴ The two triangles are congruent by the AAS rule

∴ The method would use to prove that the two Δs ≅ is AAS

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