Geometry Navigator TM - visual-dynamic plane geometry

 LIST OF LESSONS Printable Version POINTS, LINES AND ANGLES Back to previous page Points and Lines The Concept of a Point in Geometry Lines - Rays - Segments Straight Lines through Three Points The Shortest Path between Two Points Points on a Line Lines and Angles The Concept of an Angle and Its Measurement The Types of Angles Multiples of the Right Angle Adjacent Supplementary Angles Vertical Angles Shortest Distance from a Point to a Line Parallel and Non-Parallel Lines Angles Formed by Two Parallel Lines and a Transversal Checking the Parallelism of Lines Parallels and Perpendiculars The Angle Bisector and Its Properties Bisectors of Adjacent Supplementary Angles The Perpendicular Bisector and Its Properties TRIANGLES General The Sum of Angles of a Triangle Defining Triangles by Their Angles Defining Triangles by Their Sides The Exterior Angles of a Triangle Constructing an Isosceles Triangle and an Equilateral Triangle Relations between Sides and Angles in a Triangle Constructing a Triangle from Three Given Segments The Altitude of a Triangle The Pythagorean Theorem and Its Graphic Representation The Area of a Triangle The Area of a Right-Angled Triangle The Area of an Acute Triangle The Area of an Obtuse Triangle The Area of a Triangle - Summary Congruent Triangles Checking a Congruence - an Example (S.A.S. case) The S.A.S. Congruence Postulate - a Graphical Proof The A.S.A. Congruence Postulate - a Graphical Proof The S.S.S. Congruence Postulate The S.S.S. Congruence Postulate - a Graphical Proof The S.S.A. Congruence Postulate - a Graphical Proof The Congruence Postulates - Summary Similar Triangles Proportional Segments and the Concept of Similarity The Intercept Theorem The A.A.A. Similarity Criteria Parallel Sides in Similar Triangles Creating Similar Triangles with Parallel Lines The S.A.S. Similarity Criteria The S.S.S. Similarity Criteria The Areas of Similar Triangles Angle Bisectors and Inscribed Circles of Similar Triangles Circumscribed Circles of Similar Triangles Medians of Similar Triangles Special Segments Angle Bisectors Perpendicular Bisectors Medians Altitudes Location of the Special Points in Different Triangles Four Special Points in an Equilateral Triangle The Sum of Distances from Inside Point to the Sides Areas of Shapes Formed by Connecting Middle Points POLYGONS Quadrilaterals A Rectangle and Its Properties A Square and Its Properties A Parallelogram and Its Properties Transformation: Parallelogram - Rectangle - Square A Rhombus and Its Properties Transformation: Parallelogram - Rhombus - Square A Kite and Its Properties The Sum of Interior Angles of Any Quadrilateral Other Polygons Regular and Non-Regular Polygons The Interior Angle of a Regular Polygon The Sum of Interior Angles of Any Polygon The Exterior Angle of a Regular Polygon The Sum of Exterior Angles of Any Polygon Similar Polygons CIRCLES Angles, Chords, Tangents An Inscribed Angle Central Angles, arcs and Chords Chords and Angles A Semicircle Angle Chords and Their Relation to the Circle Center Intersecting Chords A Tangent to a Circle and Its Properties The Angle Between a Chord and a Tangent A Tangent and a Secant Intersecting Outside a Circle The Angle Between Two Secants Common Tangents of Two Circles The Line of Centers of Two Intersecting Circles The Mutual Position of Two Circles and the Common Tangents External Tangents of Non-Intersecting Circles Internal Tangents of Non-Intersecting Circles Circumscribed and Inscribed Circles The Circumscribed Circle of a Triangle The Inscribed Circle of a Triangle Circles and Different Types of Triangles Inscribed Quadrilaterals and Their Properties Circumscribed Quadrilaterals and Their Properties Circumscribed Circles and Different Quadrilaterals Inscribed Circles and Different Quadrilaterals Circles and Regular Polygons The Interior Angles of a Regular Polygon CONSTRUCTIONS Basic Constructions An Angle Equal to a Given One The Bisector of an Angle The Perpendicular Bisector of a Segment A Perpendicular to a Line through an External Point A Parallel to a Line Through an External point A Parallel to a Line Through an External Point (2) Dividing a Segment into a Given Number of Equal Segments Triangles and Quadrilaterals Constructing Special Segments in a Triangle Constructing a Rectangle Constructing a Square Constructing a Parallelogram Given Its Sides' Lengths Constructing a Parallelogram Given Lengths of Two Sides and a Diagonal Constructing a Parallelogram Given Lengths of Two Sides and an Altitude Circles Locating the Center of a Circle Finding the Diameter of a Circle Constructing a Tangent to a Circle Constructing a Tangent to a Circle through an External Point
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