Line-segment AB is parallel to another line-segment CD. O is the mid-point of AD.
Show that (i) `DeltaAOB ~= DeltaDOC` (ii) O is also the mid-point of BC.

In the given figure, AL || DC, E is mid point of BC. Show that DeltaEBL ~= DeltaECD .

In the given figure, AB and DC are both perpendicular to line segment AD. BC intersects AD at P and P is the midpoint of AD. Prove that, ( 1 ) AB = CD ( 2 ) P is the midpoint of BC.

AD and BC are equal perpendiculars to a line segment AB (see the given figure) Show that CD bisects AB.

Find the mid point of the line segment joining the points (3, 0) and (-1, 4)

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.

If D, E and F are respectively, the mid-points of AB, AC and BC in DeltaABC , then BE + AF is equal to

Point P(-4, 2) lies on the line segment joining the points A(-4, 6) and B(-4, -6) .

A line segment AB is divided internally and externally in the same ratio at P and Q respectively and M is the mid-point of AB. Statement I : MP, MB, MQ are in G.P. Statement II : AP, AB and AQ are in H.P.

In trapezium ABCD, AB || CD and E is the midpoint of AD. A line drawn through E and parallel to AB intersects BC at F. Prove that F is the midpoint of BC and EF = (1)/(2)(AB + CD) .