Question

how to write one to one correspondence in two triangles

Answer 1

Corresponding Parts of Triangles
To prove that two triangles have the same shape, certain parts of one triangle must coincide with certain parts of the other triangle. Specifically, the vertices of each triangle must have a one-to-one correspondence. This phrase means that the measure of each side and angle of each triangle corresponds to a side or angle of the other triangle. As we will see, triangles don't necessarily have to be congruent to have a one-to-one correspondence; but when they are congruent, it is necessary to know the correspondence of the triangles to know exactly which sides and which angles are congruent.

Answer 2

let triangle ABC and triangle PQR be two cogruent triangles
so AB/PQ = BC/ QR = AC / PR = 1