Can you draw the quadrilateral ABCD (given above)by constructing `DeltaABD` first and then fourth vertex 'C' ? Given reason.

Given that the vertices A, B, C of a quadrilateral ABCD lie on a circle. Also angleA + angleC = 180^@ , then prove that the vertex D also lie on the same circle.

Can you construct the above quadrilateral (rhombous )taking BD as a base instead of AC? If not give reason.

Prove that an equilateral triangle can be constructed on any given line segment.

The area of any cyclic quadrilateral ABCD is given by A^(2)=(s-a)(s-b)(s-c) (s-d) , where 28 = a + b + c + d, a, b,c and d are the sides of the quadrilateral. Now consier a cyclic quadrilateral ABCD of area 1sq.unit and answer the following questions: When the perimeter is minimum, the quadrilateral is necessarily

Take four points A, B, C and D such that A B, C lie on the same line and D is not on it. Can the four line segments overline AB , overline BC , overline CD , and overline AD from a quadrilateral? Give reason.

Do you construct the above quadrilateral aBCD by taking BC as base instead of AB ? IF So, draw a rough sketch and explain the various steps involved in the construction.

Can you construct the above quadrilateral PQRS ,if we have an angle of 100^(@) at P instead of 75^(@) Give reason.

The area of any cyclic quadrilateral ABCD is given by A^(2)=(s-a)(s-b)(s-c) (s-d) , where 28 = a + b + c + d, a, b,c and d are the sides of the quadrilateral. Now consier a cyclic quadrilateral ABCD of area 1sq.unit and answer the following questions: The minimum perimeter of the quadrilateral is

The area of any cyclic quadrilateral ABCD is given by A^(2)=(s-a)(s-b)(s-c) (s-d) , where 28 = a + b + c + d, a, b,c and d are the sides of the quadrilateral. Now consier a cyclic quadrilateral ABCD of area 1sq.unit and answer the following questions: The minimum value of the sum of the lengths of diagonals