[" Theorem "6.2" (Converse of BPT) "],[" If a line divides any two sides of a triangle "],[" in the same ratio,then prove that the line is "],[" parallel to the third side."]

Theorem 6.2 : If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.

Theorem 6.2 : If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.

Converse of Basis proportionality theorem : If a line divides any two sides of a triangle in the same ratio; then the line must be parallel to the third side.

Read the statemenst carefully and state 'T' for true and 'F' for false . 1. If a line divides any two sides of a triangle in the same ratio , then the line is parallel to the third side of the triangle . 2 . The internal bisector of an angle of a triangle divides the opposite side inernally in the ratio of the sides containing the angle . 3 . If a line through one vertex of a triangle divides the opposite in the ratio of other two sides , then the line bisects the angle at the vertex . 4.Any line parallel to the parallel sides dividesproportionally . 5. Two times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the medians of the triangle .

If a straight line divides any two sides (or their extended sides) of a triangle in any ratio, it will be parallel to third side.

Show that the line joining the mid points of two sides of a triangle is parallel to the third side.

The line joining the mid-points of two sides of a triangle is parallel to the third side.

Prove that the line joining the middle points of the two sides of a triangle is parallel to the third side.