State "Basic proportionality theorem"

State the basic proportionality theorem.

(a) State the basic proportionality theorem. (b) state the mid-point theorem. © State pythagoras theorem. (d) State the conditions for similarity of two triangles.

State and prove Basic proportionality theorem

Similarity OF triangles || Basic proportionality theorem (Thales theorem) || Discussion OF examplar question || Ex- 6.2, theorem 6.1, 6.2 proOF

Study the following figure. Write the ratios in relation to basic proportionality theorem and its corollarise, in terms of a, b, c and d.

Prove that a line joining the midpoints of any two sides of a triangle is parallel to the third side. (Using converse of basic proportionality theorem)

Prove that a line joining the midpoints of any two sides of a triangle is parallel to the third side. (Using converse of basic proportionality theorem)

Prove that a line joining the midpoints of any two sides of a triangle is parallel to the third side. (Using converse of basic proportionality theorem)

Prove that a line drawn through the mid-point of one side of a Triangle parallel to another side bisects the third side (Using Basic proportionality theorem).

Using converse of Basic Proportionality theorem 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).