Answer:
The congruent sides are:
SU ≅ FO , UN ≅ OG , SN ≅ FG
- The congruent angles are:
m∠S ≅ m∠F , m∠U ≅ m∠O , m∠N ≅ m∠G
Step-by-step explanation:
* Lets 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 first triangle ≅ 2 angles
and one side in the 2ndΔ
- HL ⇒ hypotenuse leg of the first right angle triangle ≅ hypotenuse
leg of the 2nd right angle Δ
* From all cases above when the two triangles are congruent, then
the corresponding sides are equal and the corresponding angles
are equal
∵ ΔSUN ≅ ΔFOG
- The corresponding sides are:
# SU and FO
# UN and OG
# SN and FG
- The corresponding angles are:
# ∠S and ∠F
# ∠U and ∠O
# NS and ∠G
- The congruent sides are:
∴ SU ≅ FO
∴ UN ≅ OG
∴ SN ≅ FG
- The congruent angles are:
∴ m∠S ≅ m∠F
∴ m∠U ≅ m∠O
∴ m∠N ≅ m∠G
