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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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