In the given figure, ABCD is a trapezium in which `AB II CD`. Line-segments RS and LM are drawn parallel to AB such that AJ = JK = KP. If AB = 0.5 m and AP = BQ = 1.8 m, find the length of AC, BD, RS and LM.

ABCD s a trapezium in which AB||CD and AD=BC diagonal AC=diagonal BD

ABCD is a trapezium in which AB||CD and AD = BC (See Fig.) Show that diagonal AC = diagonal BD.

ABCD is a trapezium in which AB||CD and AD = BC (See Fig.) Show that diagonal AC = diagonal BD.

In the given fig. O is the point of each of the line segment AB and CD prove that AC=BD and AD||BD

ABCD is a trapezium in which AB || DC . M and N are the mid-points of AD and BC respectively. If AB = 12 cm, and MN = 14 cm, find CD.

Construct a quadrilateral ABCD in which AB = AC = 3.9 cm,BC = 4.1 cm,CD = 4.5 cm and AD = 3.5 cm.

In the fig ABCD is a parallelogram in which E and F are mid points of AB and CD respectively. Prove that the line segments CE and AF intersect diagonal BD

In the fig points M and N divide AB of triangleABC into three equal parts. Line segments MP and NQ are both parallel to BC and meet AC in P and Q respectively. Prove that P and Q divide AC nto three equal parts

Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.