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
