In `Delta ABC, D,E ` and F are mid-point of sides AB ,BC and AC respectively , Prove that AE and DF bisect each other.

In Delta ABC, AB = AC. D , E and F are mid-points of the sides BC, CA and AB respectively . Show that : AD and FE bisect each other.

In Delta ABC, AB = AC. D , E and F are mid-points of the sides BC, CA and AB respectively . Show that : AD is perpendicular to EF.

In a Delta ABC, D, E and F are the mid-point of sides BC, CA and AB respectively. If area of Delta ABC = 16 cm^(2) , find the area of trapezium FBCE

In triangleABC ,E and F are mid-points od sides AB and AC respectively. If BF and CE intersect each other at point O, prove that the DeltaOBC and quadrilateral AEOF are equal in area.

In triangleABC ,E and F are mid-points od sides AB and AC respectively. If BF and CE intersect each other at point O, prove that the DeltaOBC and quadrilateral AEOF are equal in area.

The sides AB and AC are equal of an isosceles triangle ABC. D E and F are the mid-points of sides BC, CA and AB respectively. Prove that: (i) Line segment AD is perpedicular to line segment EF. (ii) Line segment AD bisects the line segment EF.

In the given triangle P, Q and R are the mid points of sides AB, BC and AC respectively. Prove that triangle PQR is similar to triangle ABC.

If D , E and F are the mid-points of the sides BC , CA and AB respectively of the DeltaABC and O be any point, then prove that OA+OB+OC=OD+OE+OF

D, E and F are the mid-points of the sides BC, CA and AB respectively of triangle ABC. Prove that: area of BDEF is half the area of Delta ABC.

In triangle ABC, D and E are mid-points of sides AB and BC respectively. Also, F is a point in side AC so that DF is parallel to BC (i) Prove that DBEF is a parallelogram.