Question

By which rule are these triangles congruent? A) AAS B) ASA C) SAS D) SSS

Answer 1

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.

Answer 2

Answer:

A. AAS

Step-by-step explanation: