xxchloekai
22.03.2020 •
Mathematics
The congruence theorem that can be used to prove ALON
ALMN is
SSS
OASA
OSAS
O HLI
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Ответ:
SSS is the congruence theorem that can be used to prove Δ LON is congruent to Δ LMN ⇒ 1st answer
Step-by-step explanation:
Let us revise the cases of congruence
SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd ΔSAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd ΔASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd ΔAAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the 2nd ΔHL ⇒ hypotenuse leg of the 1st right Δ ≅ hypotenuse leg of the 2nd right ΔIn triangles LON and LMN
∵ LO ≅ LM ⇒ given
∵ NO ≅ NM ⇒ given
∵ LN is a common side in the two triangles
- That means the 3 sides of Δ LON are congruent to the 3 sides
of Δ LMN
∴ Δ LON ≅ LMN ⇒ by using SSS theorem of congruence
SSS is the congruence theorem that can be used to prove Δ LON is congruent to Δ LMN
Ответ: