
Necessary conditions for the construction of unique rhombus are

Important Questions on Constructions

With a ruler and compass only, construct the following angle:
.

Construct a square, each of whose diagonals measure .





Construct quadrilaterals for measurements given below:
A rhombus with


Construct a rhombus in which and diagonal .


Step I: Draw a line
From set off cutting at .
From draw
Mark any point on
Step V: Construct and , meeting at and respectively.



Construct a rectangle in which and diagonal . Measure the other side of the rectangle.

Copy shown in the given figure. Using a ruler and compass, construct an angle equal to times .

Construct quadrilateral with the measurements given below:
Rhombus with and

Construct a rectangle whose adjacent sides are and .

Construct a rhombus the length of whose diagonals are and .

Which of the following steps is INCORRECT while constructing a rhombus , given that and ?
Step : Draw .
Step : Draw , the perpendicular of . intersects at point .
Step : With as centre and radius equal to , drawn an arc cutting at .
Step : With as centre and radius equal to , draw another arc cutting at .
Step : Join and .

