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 a triangle ABC, E is the mid - point of median AD. Show that ar (BED) =1/4 ar (ABC)

In a triangle ABC, E is the mid-point of median AD. Show that ar (BED) = (1)/(4) ar (ABC).

In the given Figure AB and CD are intersecting at ‘O’, OA = OB and OD = OC. Show that (i) Delta AOD ~= DeltaBOC and (ii) AD || BC .

ABCD is a trapezium in which AB abs DC , BD is a diagonal and E is the mid-point of AD. A line is drawn through E parallel to AB intersecting BC at F. Show that F is the mid-point of BC.

Show that the line segments joining the mid-points of the opposite sides of a quadrilateral bisect each other.

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

AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that, (i) AD bisects BC (ii) AD bisects /_ A.

If D is the mid-point of side BC of a triangle ABC and AD is perpendicular to AC, then

In a rectangle ABCD, E is the mid point of AB. If AB = 16 cm and AD = 6 m, find ED.