Certificate:

In parallelogram AHBT, BT is parallel to AH.

In parallelogram ACPH, AH is parallel to CP.

In parallelogram CKXP, CP is parallel to XK.

In the parallelogram BKXM, XK is parallel to MB.

In parallelogram AMBE, MB is parallel to EA.

So BT is parallel to EA, that is, the quadrilateral ABTE is a parallelogram.