In the adjoining figure `squareABCD` is a parallelogeam. Points X and Y lie on the sides AD and BC respectively and `AX=1/4ADandCY=1/4BC.` Show that `squareXBYD` is a parallelogram.

ABCD is a parallelogram. Tow points P and Q are taken on sides AD and BC respectively such that AP 1/3ADand CQ=1/3BC. Prove that squareAQCP is a parallelogram.

D and E are points on the sides AB and AC respectively such that AB=3.6cm and AD=1.4AC=7.2 and AE=1.8. Show that DE is parallel to BC

D and E are points on the sides AB and AC respectively such that AB=3.6cm and AD=1.4AC=7.2 and AE=1.8. Show that DE is parallel to BC

In Figure, A B C D is a parallelogram and X ,Y are the mid=points of sides A B and D C respectively. Show that A X C Y is a parallelogram. Figure

In the adjoining figure D, E and F are the mid-points of the sides BC, CA and AB respectively of Delta ABC . Prove that: (i) square BDEF is a parallelogram (ii) area of Delta DEF = (1)/(4) xx " area of " Delta ABC (iii) area of square BDEF = (1)/(2) xx " area of " Delta ABC

In a triangle ABC,X and Y are the points on AB and BC respectively.If BX=(1)/(2)AB and BY=(1)/(2)BC and AB=BC . Show that BX=BY .

D,E and F are respectively the mid-points of the sides BC,CA and AB of a /_ABC. Show that (i) BDEF is a parallelogram

D, E and F are the mid-points of the sides BC, CA and AB of a triangle ABC. Show that BDEF is a parallelogram

ABCD is a square, X and Y are points on sides AD and BC respectively such that AY=BX. Prove that BY=AX and /_BAY=/_ABX .