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Chapter 12: Demonstrative Geometry (74 videos)
12.1: Theorems on Lines & Polygons
  1. Introduction to Geometrical Theorems
  2. Elements in proving a geometrical theorem
  3. Problem 1: Elements in proving a geometrical theorem
12.2: Methods of Proof
  1. Problem 1: Analytical and Synthesis method to Prove theorem
  2. Reductio-Ad-Absurdum Method
  3. Problem 1: Reductio-Ad-Absurdum Method
  4. If two lines intersect each other,than vertical angles are congruent
12.3: Triangle
  1. Interior and exterior of triangle
  2. Problem 1: Interior and exterior of triangle
  3. Triangluar Region and Triangular Area
  4. Interior and exterior angles of traingle
  5. Included Angle and Included Side of Triangle
12.4: Kinds of Triangle
  1. Kinds of Triangle
  2. Problem 1: Kinds of Triangle
12.5: One-One Correspondence between Two Triangles & Other Polygons
  1. Congruence of Other Polygons
12.6: Congruence of Triangles
  1. Congruency of Triangles
  2. Problem 1: Congruency of Triangles
12.7: Congruence of Other Polygons
  1. Congruence of Other Polygons
  2. Problem 1: Congruence of Polygons
12.8: Postulate 14- Side Angle Side Postulate
  1. Side Angle Side Postulate
  2. Problem 1: side angle side postulate
  3. An exterior angle of a traingle is greater in measure than either of
  4. Problem 1:An exterior angle of a traingle is greater in measure than
12.9: Transversal, Interior & Exterior Angles
  1. Transversal, Interior and Exterior Angles
  2. Problem 1: Transversal, Interior and Exterior Angles
12.10: Alternate & Corresponding Angles
  1. Alternate and corresponding Angles
  2. Problem 1: Alternate and corresponding Angles
12.11: Corresponding Angles
  1. Alternate and corresponding Angles
  2. Problem 1: Alternate and corresponding Angles
12.12: Parallel Lines
  1. Parallel Lines
  2. Problem 1: Parallel Lines
12.13: Postulate 15. Parallel Lines Postulate
  1. Parallel Lines Postulate
  2. Problem 1: Parallel Lines Postulate
  3. If a transversal intersects two coplanar lines
  4. If a transversal intersects two parallel lines
  5. Problem 1: If a transversal intersects two parallel lines
12.14: Parallelogram
  1. Kinds of Parallelogram
  2. Problem 1: Kinds of Parallelogram
12.15: Trapezoid & Trapezium
  1. Trapezoid and Trapezium
  2. Problem 1: Trapezoid and Trapezium
  3. Sum of three angles of triangle is 180 degree
  4. Problem 1: Sum of three angles of triangle is 180 degree
  5. Angle opposite to equal sides are equal in triangle
  6. Angle-Side-Angle Postulate-1
  7. Side-Side-Side Postulate-3
  8. Sides Facing Equal Angles are Equal in Triangle-2
  9. Hypotenuse Side Postulate-4
  10. Diagonals of Parallelogram Bisects Each Other-1
  11. Parallelogram Opposite Sides - Congruent -Parallel-2
  12. Mid point Theorem-3
  13. All Medians of Triangle Trisect Each Other-4
  14. Proportional Segment Theorem-5
  15. Perpendicular Bisector Theorem-1
  16. Converse of Perpendicular Bisector Theorem-2
  17. Triangle Right Bisectors of Sides are Concurrent-3
  18. Angle Bisector Theorem-4
  19. Converse of Angle Bisector Theorem-5
12.16: Theorems on Inequalities
  1. Longer Side Inequality Theorem-1
  2. Converse of Longer Side Inequality Theorem-1a
  3. Problem 1: Converse of Longer Side Inequality Theorem-1a
  4. Triangle Sum of Two Sides is Greater Than Third-2
  5. Problem 2: Triangle Sum of Two Sides is Greater Than Third-3
  6. Shortest Distance from Point to a Line-3
  7. Problem 2: Shortest Distance from Point to a Line-3
12.17: Similar Figures
  1. Proportional Parts of Triangle by Side Splitter Theo-1
  2. Converse of Proportional Parts of Triangle -2
  3. Division of Opposite Side by Angle Bisector-3
  4. Proportional Parts of Similar Triangle-4
  5. Converse of Proportional parts of similar triangle
12.18: Pythagoras Theorem
  1. Pythagoras Theorem-1
  2. Problem 1: Pythagoras Theorem-1
  3. Problem 2: Pythagoras Theorem-1
  4. Converse of Pythagoras Theorem-2
  5. Problem 1: Converse of Pythagoras Theorem-2
 

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