Mid Point Theorem Proof from Basic Proportionality Theorem | Converse of Basic Proportionality Theorem.
Mid Point Theorem
A line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side
Basic Proportionality Theorem
If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.
Converse of Basic Proportionality Theorem
If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.
00:03 Q7. Using Theorem 6.1, prove that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side. (Recall that you have proved it in Class IX).
00:28 Use Basic proportionality theorem.
02:43 Q8. Using Theorem 6.2, prove that the line joining the mid-points of any two sides of a triangle is parallel to the third side. (Recall that you have done it in Class IX).
03:14 Converse of Basic proportionality theorem.
04:55 Q9. ABCD is a trapezium in which AB || DC and itsdiagonals intersect each other at the point O. Show that AO/BO = CO/DO.
05:54 Construction procedure tosolve the problem
07:14 Apply Basic proportionality theorem.
Geometry Basic Proportionality Theorem Class 10
Basic Proportionality Theorem
Applications of basic proportionality theorem
Triangle proportionality theorem
converse of basic proportionality theorem
CBSE solutions for class 10 maths Chapter 6 Triangles Exercise 6.1
CBSE class 10 maths NCERT Solutions chapter 6 Triangles Exercise 6.2 | Thales Theorem
CBSE class 10 maths NCERT Solutions chapter 6 Triangles
Solutions for CBSE class 10 Maths Chapter 6
NCERT solutions for class 10 maths Triangles
NCERT solutions for CBSE class 10 maths Triangles
CBSE class 10 maths solutions Triangles
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