Question

Consider the congruence statement

ΔSUN≅ΔFOG.

Identify the congruent sides.
Identify the congruent angles.

Answer 1

In the congruence statement ΔSUN≅ΔFOG, the congruent sides are SN and OG. The congruent angles are ∠SUN and ∠FOG. This means that the two triangles have matching side lengths and angle measures, making them congruent.

Step-by-step explanation:

In the congruence statement ΔSUN≅ΔFOG, the congruent sides are SN and OG.

The congruent angles are ∠SUN and ∠FOG.

This means that the two triangles have matching side lengths and angle measures, making them congruent.

Answer 2

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