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

proportionality theorem

Thales Theorem

converse of basic proportionality theorem

Side-Splitter Theorem

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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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