Spatial Intersections, Parallelism, and Perpendicularity

5 lessons

Goal

Solve spatial relationship problems involving intersections, parallelism, and perpendicularity between lines and planes in multi-view projections.

Constructing and Proving Parallelism Between Lines and Planes

5 lessons

0 of 5 done

Constructing and Proving Parallelism Between Lines and PlanesUp next
Perpendicularity Between Lines and Planes and Monge's TheoremPremiumNot started yet
Determining the Piercing Point of a Line and a PlaneNot started yet
Finding the Line of Intersection Between Two PlanesNot started yet
Visibility Analysis Using Apparent Crossing PointsNot started yet

Standards Covered

Curriculum Framework

5 lessons

Represent points, line segments, and lines across horizontal, vertical, and profile projection planes using Monge's descriptive geometry.

4 lessons

Construct and analyze general and special-position planes, planar traces, and 2D figures embedded in 3D projection spaces.

5 lessons

Construct pictorial and curved-surface spatial representations using isometric, dimetric, trimetric, cylindrical, and spherical projections.

5 lessons

Solve spatial relationship problems involving intersections, parallelism, and perpendicularity between lines and planes in multi-view projections.

7 lessons

Transform general lines and planes into special positions using successive auxiliary reference planes to solve metric and spatial problems.

6 lessons

Apply spatial rotation and rabatment methods to find true metric properties, plane intersections, and planar sections of complex geometric solids.