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3 years ago

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:

SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ
SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd Δ
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
AAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the 2nd Δ
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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Step-by-step explanation:

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