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VISUAL-DYNAMIC PLANE GEOMETRY LESSONS |
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POINTS AND LINES |
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The Concept of Point in Geometry
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Points on a Line
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Lines Through Three Points
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The Shortest Distance between Two Points
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Line - Ray - Segment
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LINES AND ANGLES |
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The Concept of Angle and its Measurement
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Types of Angles
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Multiples of the Right Angle
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Supplementary Angles
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Vertical Angles
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Shortest Distance from a Point to a Line |
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Parallel and Non-Parallel Lines
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Parallels and Angles
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Proving the Parallelism of Lines
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Parallels and Perpendiculars
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The Angle Bisector and Its Properties
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Bisectors of Supplementary Angles
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The Perpendicular Bisector and Its Properties
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Back to top |
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TRIANGLES |
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General
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The Sum of Angles of a Triangle
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Defining Triangles by Angles
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Defining Triangles by Sides
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The Exterior Angles of a Triangle
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Constructing Isosceles and Equilateral Triangles
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Sides and Angles in a Triangle
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Constructing a Triangle from Three Given Side Lengths
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Altitude of a Triangle
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The Pythagorean Theorem
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The Area of a Triangle
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The Area of Right-Angled Triangle
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The Area of an Acute Triangle
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The Area of an Obtuse Triangle
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The Area of a Triangle - Summary
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Congruent Triangles
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Congruency by Side-Angle-Side
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Congruency by Side-Angle-Side - Graphical Proof
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Congruency by Angle_Side_Angle - Graphical Proof
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Congruency by Side-Side-Side
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Congruency by Side-Side-Side - Graphical Proof
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Congruency by Side-Side-Angle - Graphical Proof
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Congruent Triangles - Summary
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Similar Triangles
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Constructing a Triangle from Three Given Angle Measures |
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Similar Triangles - General
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Parallel Sides in Similar Triangles
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More Examples of Similar Triangles
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The Areas of Similar Triangles
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Inscribed Circles of Similar Triangles
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Circumscribed Circles of Similar Triangles
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Medians of Similar Triangles
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Special Segments
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Angle Bisectors
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Perpendicular Bisectors
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Medians
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Altitudes
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Constructing Special Segments in a Triangle
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Four Special Points in Any Triangle
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Four Special Points in Equilateral Triangle
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The Distances from Inside Point to the Sides
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The Properties of the Midpoints of the Sides of a Triangle
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Back to top |
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POLYGONS |
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Quadrilaterals
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A Rectangle and Its Properties
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A Square and Its Properties
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A Parallelogram and Its Properties
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Transformation: Parallelogram - Rectangle - Square
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A Rhombus and Its Properties
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Transformation: Parallelogram - Rhombus - Square
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A Kite and Its Properties
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The Sum of Angles of Any Quadrilateral
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Other Polygons
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Regular and Non-Regular Polygons
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The Interior Angle of a Regular Polygon
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The Interior Angle of a Regular Polygon - 2
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The Sum of Interior Angles of Any Polygon
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The Exterior Angle of a Regular Polygon
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The Sum of Exterior Angles of Any Polygon
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CIRCLES |
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Angles, Chords, Tangents
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An Inscribed Angle
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A Semicircle Angle
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Chords and Angles
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Intersecting Chords
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The Angle Between a Chord and a Tangent
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A Tangent and a Secant through One Point
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The Angle Between Two Secants
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Common Tangents of Two Circles
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The Line of Centers of Two Intersecting Circles
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Two Circles and Common Tangents
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External Tangents of Non-Intersecting Circles
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Internal Tangents of Non-Intersecting Circles
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Circumscribed and Inscribed Circles
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Constructing a Circle About a Given Triangle
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Inscribing a Circle in a Given Triangle
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Circles and Different Types of Triangles
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A Quadrilateral Inscribed in a Circle
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A Quadrilateral Circumscribed About a Circle
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Circles and Different Types of Quadrilaterals
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CONSTRUCTIONS |
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Basic Constructions
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An Angle Equal to a Given One
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Bisector of an Angle
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Perpendicular Bisector to a Segment |
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Perpendicular to a Line Through an External Point
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Parallel to a Line Through an External point
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Parallel to a Line Through an External Point (2)
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Dividing a Segment into a Given Number of Equal Segments
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Quadrilaterals
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Constructing a Rectangle
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Constructing a Square
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Constructing a Parallelogram by Given Lengths of Two Sides
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Constructing a Parallelogram by Given Lengths of Two Sides and a Diagonal
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Constructing a Parallelogram by Given Lengths of Two Sides and an Altitude
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Circles
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Constructing a Tangent to a Circle
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Constructing a Tangent to a Circle through an External Point
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- visual-dynamic plane geometry
