From the graph the vertices are
.
Find the distance of each length using distance formula.
\The distance formula is
.
(Write the distance formula)
(Substitute
)
(Simplify)
(Substitute
)
(Simplify)
(Substitute
)
(Simplify)
(Substitute
)
(Simplify)
(Substitute
)
(Simplify)
(Substitute
)
(Simplify)
By the definition of congruence,
.
The corresponding sides of the triangle are congruent and
So,
.
The triangles are congrueent,
.
The congruence transformation is flip or rotation.