Given a parallelogram ABCD, Complete each statement along with the definition or property used.

`mangleDAB + mangleCDA` = _________

Given a parallelogram ABCD, Complete each statement along with the definition or property used. AD = ________

Given a parallelogram ABCD, Complete the statement along with the definition or property used. angle DCB = ___________

The length of one diagonal of a parallelogram is 8 cm. and height of each of the triangles whose common base is the given diagonal of the parallelogram is 4 cm. Find the area of the parallelogram.

Using vector method find the area of a parallelogram whose adjacent sides are given by the vectors veca and vecb .

Diagonals AC and BD of a trapezium ABCD with AB||DC intérsect each other at the point O.Using a similarity ciiterion for two triangles, show that (OA)/(OC)=(OB)/(OD) .

Fill in the blanks using the word{s) from the list appended with each statement: For solids with elastic modulus of rigidity, the shearing force is proportional to…………………. , while for fluids it is proportional to .................... (shear strain / rate of shear strain)

Take any quadrilateral, say ABCD , Divide it into two triangles, by drawing a diagonal. You get six angles 1,2,3,4,5 and 6. Use the angle sum property of a triangle and argue how the sum of the measures of and amount to 180^@ + 180^@ = 360^@ .

Two rails of a railway track insulated from each other and the ground are connected to a milli voltmeter. What is the reading of millivoltmeter when the train travels at speed of 180 km/h along the track, given that the horizontal component of earth's magnetic field is 0.2*10^(-4) wb/m and the rails are separated by 1 meter.