For the displaying 3D Polygon Animations section of the assignment you don’t need to get to technical. Just research and have a base understanding of how 3D images/animations are displayed on screen.

Useful links:

Microsoft Direct3D: Part of the DirectX package and a competitor to openGL. It is an application programming interface (API) which renders 3D objects. Designed to speed up 3D rendering within Windows. All mainstream graphics cards support it.
Direct X Graphics Pipeline:
Render Engines:
Pixel & Vertex Shaders: Pixel & Vertex