Answer:
yes these triangles are congruent
Step-by-step explanation:
SSS (side side side)
All three corresponding sides are equal in length.
SAS (side angle side)
A pair of corresponding sides and the included angle are equal.
ASA (angle side angle)
A pair of corresponding angles and the included side are equal.
AAS (angle angle side)
A pair of corresponding angles and a non-included side are equal.
HL (hypotenuse leg of a right triangle)
Two right triangles are congruent if the hypotenuse and one leg are equal.
Answer:
Triangles are congruent
Step-by-step explanation:
Taking the angle- side- angle approach (ASA )
If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle , then the triangles are congruent.
The included side is the side between the vertices of the 2 angles.
∠ U = ∠ V ( given )
∠ VWU = ∠ YWX ( vertical angles )
The included sides UW and WY are also congruent ( given )
Thus Δ VUW and Δ XYW are congruent by the ASA postulate
