Question

Given: vu=st, sv=tu prove vx=xt

Answer 1

Given an image of a parallelogram

Both pairs of opposite sides are parallel.

Both pairs of opposite sides are congruent.

Diagonals bisect each other, VT= SU (diagonal line)

SU and VT is a bisector line hence the line VX = XT since the diagonal bisect each other

Hence the line VX = XT since the diagonal bisect each other at X