Which of the following is not a sufficient data for construction of quadrilateral
( a ) A rhombus can be constructed if two of its diagonals are given
( b ) A parallelogram can be constructed if two of its adjacent sides are given
( c ) A square can be constructed if one of its side is given
( d ) A quadrilateral can be constructed if its three sides and two diagonals are given.
Answers
NOT SUFFICIENT DATA : A parallelogram can be constructed if two of its adjacent sides are given
Step-by-step explanation:
A rhombus can be constructed if two of its diagonals are given - SUFFICIENT DATA
as rhombus diagonal bisect each other perpendicularly
( b ) A parallelogram can be constructed if two of its adjacent sides are given - NOT SUFFICIENT DATA
As either angle between sides should also be given or a diagonal should be given
( c ) A square can be constructed if one of its side is given - SUFFICIENT DATA
As all sides are equal and all angles are 90°
( d ) A quadrilateral can be constructed if its three sides and two diagonals are given -SUFFICIENT DATA
As there are three sides and two diagonals. Taking one side common . Two triangles can be constructed as we have 3 sides for Each triangle
and then Quadrilateral can be constructed
A parallelogram can be constructed if two of its adjacent sides are given - NOT SUFFICIENT DATA
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