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