Lines and planes: intersecting, perpendicular, parallel
Part I: - Point and line in a plane
- Mutual position of lines in plane
- Mutual position of line and circle
- Mutual position of two circles
Part II: - Mutual position of lines in space
- Mutual position of line and plane
- Mutual position of two (three) lines
- Cross-sections of cube and pyramid
- Intersections of line with cube and pyramid surfaces
Lines and planes: distances and angles
Part I: - Word description of angles in a cube
- Cube – distances of points, lines, planes
- Cube – angles between lines, planes
- Cuboid - distances of points, lines, planes
- Cuboid – angles between lines, planes
Part II: - Word description of angles in a pyramid
- Square pyramid – distances of points, lines, planes
- Square pyramid - angles between lines, planes
- Cone - angles
Part III: - Regular right hexagonal prism - distances and angles
- Hexagonal pyramid – distances and angles
- Tetrahedron - distances and angles
Volume and surface area formulas
Part I: Computation of volumes and surfaces
Part II: Computation of volumes and surfaces
- Cone
- Cylinder
- Sphere
- Three or four sided pyramid
- Right triangular or rectangular prism
Part III: Computation of volumes and surfaces
- Truncated pyramid
- Truncated cone
- Regular right hexagonal prism
- Regular hexagonal pyramid
Symmetry and geometric transformations
Part I: - Point symmetry
- Line symmetry (reflection symmetry)