How do you prove to lines inside a parallelogram are congruent?

Question

there is a parallelogram RSTU and a line from point R to point T forming two triangles in both triangles there is one line from angle U and S to a point in the line RT these lines are SV and UW they are also parallel to each other. that is all that is given and i dont know how to prove SV and UW are congruent

Answer 1

assuming yer nomenklachuer av RSTU go around rim av parallelogran in order

(klok wise or kounter klokwise), a line fro R tu T is the diagonal.

(Also hav other triangel tween 2 other points)

Eether diagonal split parallelogram intu 2 identikal triangels

Both hav 2 equal sides: 1 side is the base, other is the angeled side at the end

Other side is the diagonal yu just drawd...it is kommon side tu both triangels.

3 sides the same pruev 2 trianges identikal.