Geometry

The topic is divided into the following subtopics:
• Lines and planes: intersecting, perpendicular, parallel
• Lines and planes: distances and angles
• Volume and surface area formulas
• Symmetry and geometric transformations

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
Part III:
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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
• Cube
• Cuboid
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)
Part II:
• Translation
• Rotation
Part III:
• Dilation