In trapezium ABCD, `AB//DC` and DC=2 AB. EF, drawn parallel to AB cuts AD in F and BC in E such that 4BE= 3 EC. Diagonal DB intersects FE at point G. Prove that: 7EF= 10AB

In trapezium ABCD. AB||DC and DC = 2AB. A line segment EF drawn parallel to AB cuts AD in F and BC in E such that (BE)/(EC)=3/4 . Diagonal DB intersects EF at G. prove that &EF= 10AB.

In a trapezium ABCD, side AB is parallel to side DC, and the diagonals AC and BD intersect each other at point P. Prove that : DeltaAPB is similar to DeltaCPD .

In a trapezium ABCD, side AB is parallel to side DC, and the diagonals AC and BD intersect each other at point P. Prove that : PA xx PD = PB xx PC .

In a trapezium ABCD, AB/DC, E is mid-point of aD. A line through E and parallel to AB intersects BC at point F. Show that: 2EF=AB+DC

In trapezium ABCD, as shown, AB // DC, AD = DC = BC = 20 cm and angle A = 60^@ . Find: (i) length of AB

In trapezium ABCD, AB is parallel to DC. P and Q are the mid-points of AD and BC respectively. BP product meets CD produced at point E. Prove that : Point P bisects BE,

In trapezium ABCD, sides AB and DC are parallel to each other. E is mid-point of AD and F is mid-point of BC. Prove that : AB + DC = 2EF.

In trapezium ABCD, AB is parallel to DC. P and Q are the mid-points of AD and BC respectively. BP produced meets CD produced at point E. Prove that : PQ is parallel to AB.

In trapezium ABCD, side AB is parallel to side DC. Diagonals AC and BD intersect at point P. Prove that triangles APD and BPC are equal in area.

ABCD is a trapezium with AB////DC . A line parallel to AC intersects Ab at point M and BC at point N. Prove that : "area of" DeltaADM= "area of" DeltaACN .