In a parallelogram ABCD, E and F are the midpoints of the sides AB and DC respectively. Show that the line segments AF and EC trisect the diagonal BD.

In DeltaABC , E and F are the midpoints of sides AB and AC respectively. If EF=5cm, find BC.

In DeltaABC , E and F are the midpoints of AB and AC respectively. If EF = 4 cm, then BC= ……….. Cm

In the adjacent figure ABCD is a parallelogram P and Q are the midpoints of sides AB and DC respectively. Show that PBCQ is also a parallelogram.

In DeltaABC, D, E and F are the midpoints of sides AB, BC and CA respectively. Show that DeltaABC is divided into four congruent triangles, when the three midpoints are joined to each other. (ΔDEF is called medial triangle)

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

ABCD is a parallelogram in which P and Q are midpoints of opposite sides AB and CD (see the given figure). If AQ intersects DP at S and BQ intersects CP at R. Show that: APCQ is a parallelogram.

ABCD is a parallelogram in which P and Q are midpoints of opposite sides AB and CD (see the given figure). If AQ intersects DP at S and BQ intersects CP at R. Show that: DPBQ is a parallelogram.

In DeltaABC , D and E are points on the sides AB and AC respectively such that DE||BC . If AB= 6.75 cm, AC= 8.50 cm" and "EC = 6.80 cm . Then find BD.

In DeltaABC , D, E and F are the midpoints of AB, BC and CA respectively. If the perimeter of DeltaDEF is 30 cm, then the perimeter of DeltaABC is ………

E and F are respectively the mid-points of equal sides AB and AC of DeltaABC (see figure) Show that BF = CE.