Build a 3D scene of distinctly colored right circular cones with their apexes at the 2D planar vertices, and their axes perpendicular to the plane.

Render a 2D orthographic view from 'above' the apexes.

The z-buffer will preserve pixels from the nearest apex.

(Yes, I now there are shadery ways to do this, but the classic 3D cones demo is trivial to understand and implement).