A Quadrigon is a polygon of 4 points (no 3 of which are collinear) and 4 lines spanned between the 4 points in such a way that each line connects only 2 of the 4 points and each point is the intersection of just 2 of the 4 lines. This figure is also sometimes called a Tetragon.
See: http://chrisvantienhoven.nl/quadrigon-objects.html.
momogon digon bigon trigon tragon tetragon quadrigon pentagon quintagon hexagon sexagon heptagon septagon octagon octigon nonagon enneagon decagon hendecagon duodecagon tredecagon quattuordecagon quindecagon sexdecagon septendecagon octodecagon novemdecagon vigintagon trigintagon centagon millagon micrigon nanigon picigon femtigon attigon zeptigon yoctigon xonigon vecigon icosigon triacontigon googoligon googolplexigon
It is a question of definition. In general language the word quadrilateral has different meanings. In general it is good to discern 3 options: 1. a figure consisting of 4 points is often called (complete) quadrangle, 2. a figure consisting of 4 lines is often called (complete) quadrilateral, 3. a figure consisting of 4 points consecutively and cyclically connected by 4 lines is best called tetragon or quadrigon.