Answer: A) AAS
Step-by-step explanation:
In the given picture we have two triangles ΔVUW and ΔXUY .
WV ≅ YX
∠UYX≅ ∠UYW
Also, it can be seen that ∠XUY and ∠VUW are vertical angles.
[When two lines intersects then they form two pair of angle known as vertical angles ]
Also, Vertical angles are always congruent.
⇒ ∠XUY ≅ ∠VUW
Now , in ΔXUY and ΔVUW, we have
WV ≅ YX
∠UYX≅ ∠UYW
∠XUY ≅ ∠VUW
So by AAS theorem , we have
ΔVUW ≅ ΔXUY
- AAS theorem says that if two angles and a side of a triangle are congruent to two angles and a side of another triangle then the triangles are said to be congruent.
