Geometry
     Sets of Points in a Plane
      Line, a half-line and line segment
      The line segment bisector
      Angle, measurement of angles
      Complementary, supplementary, alternate and vertically opposite angles
      Angle bisector
      Construction of angles; 60°, 30°, 90° and 45° (degrees)
 
     Points, Lines and Planes in Three-Dimensional (3D) Space
      Position of two lines in a three-dimensional space
         Coplanar lines and skew lines
      Line and plane in a three-dimensional space
      Two planes in a three-dimensional space
         The line of intersection of two planes
      Orthogonality of line and plane
      Orthogonality of two planes
      Orthogonal projection of a point onto a plane
         The distance from a point to a plane
      Angle between a line and a plane, and angle between two planes
 
Plane Geometry – Plane Figures
     Triangles
      Types of triangles
      Main properties of triangles
      Congruence of triangles
         Theorems about congruence
      Similarity of triangles, division of a line segment in a given ratio
         Similarity criteria of triangles
      Area of a triangle
     Right-angled Triangle - The Pythagorean Theorem
      The Pythagorean theorem
      Trigonometric functions of an acute angle defined in a right triangle
      Solving the right triangle
     Equilateral and Isosceles Triangle
      Equilateral triangle
      Isosceles triangle
     Oblique or Scalene Triangle
      Properties and rules of a triangle
      Perpendicular bisectors, triangles circumcenter
      Angle bisectors, the center of the triangle’s incircle
      The median, the centroid of a triangle
      The altitude of a triangle, orthocenter
      Triangle formulas
      Similarity and congruence of triangles use
         Congruence
      The sine law (or the sine rule) and the cosine law
         The sine law
         The sine law examples
         The cosine law
         The cosine law examples
         Calculating angles of an oblique triangle
         Solving the oblique triangle - use of the sine law and the cosine law
     Triangle problems and solutions
      Triangle solved problems, examples
         Triangle solved problems - A
         Triangle solved problems - B
         Triangle solved problems - C
         Triangle solved problems - D
         Triangle solved problems - E
         Triangle solved problems - F
     Quadrilaterals
      Square
      Rhombus
      Rectangle
      Parallelogram
      Kite or deltoid
      Trapezium or trapezoid
         Isosceles trapezoid
      Cyclic quadrilateral
      Tangential quadrilateral
 
     Polygons
     Regular polygons
     Circle
      Central angle, inscribed angle
         Construction of a tangent from a point
      Circumference, length of an arc
      Circle and circular sector
         Circular segment
      Annulus and annulus segment
     Plane figures solved problems, examples
      Plane figures solved problems, examples
         Plane figures solved problems, examples - A
         Plane figures solved problems, examples - B
         Plane figures solved problems, examples - C
         Plane figures solved problems, examples - D
         
 
 
 
 
 
 
 
 
 
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