The line drawn through the mid-point of one side of a triangle, parallel to another side, intersects the third side at its mid-point.

Prove using similar triangles, that a line drawn through the mid-point of one side of a triangle parallel to another side, bisects the third side.

Theorem 8.10 : The line drawn through the mid-point of one side of a triangle, parallel to another side bisects the third side.

The line drawn from the midpoint of one side of a triangle parallel to another side bisects the third side.

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

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).

Complete each of the following statements by means of one of those given in brackets again each: If one pair of opposite sides are equal and parallel, then the figure is ............... (parallelogram, rectangle, trapezium) If in a quadrilateral only one pair of opposite sides are parallel, the quadrilateral is .............. (square, rectangle, trapezium) A line drawn from the mid-point of one side of a triangle .................. another side intersects the third side at its mid-point. (perpendicular to, parallel to, to meet) If one angle of a parallelogram is a right angle, then it is necessarily a .................... (rectangle, square, rhombus) Consecutive angles of parallelogram are ...................... (supplementary, complementary) If both pairs of opposite sides of a quadrilateral are equal, then it is necessarily (rectangle, parallelogram, rhombus) if opposite angles of a quadrilateral are equal, then it is necessarily a ................... (parallelogram, rhombus, rectangle) If consecutive sides of a parallelogram are equal, then it is necessarily a ............. (kite, rhombus, square)

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

The line segment joining the mid-points of any two sides of a triangle in parallel to the third side and equal to half of it.

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