Prove that line segment joining the middle points of two non-parallel sides of a trapezium is parallel to the parallel sides.

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

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).

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).

prove by using the principle of similar triangles that: if a line segment divides two sides of a triangle proportionally, then it is a parallel to the third side.

The line joing the points of contact of two parallel tangents to a circle passes through the centre.Prove it.

State and prove theorem of parallel axes.

Prove that the bisectors of the opposite angles of a parallelogram are parallel.

Explain how this figure is a trapezium. Which of its two sides are parallel?

The area of a trapezium is 34m^2 and the length of one of the parallel sides is 10 cm and its height is 4 cm. Find the length of the other parallel side.

prove by using the principle of similar triangles that: the line segment drawn parallel to the side of a triangle divides the other sides proportionally.