Question

Which of the following given condition is insufficient to construct required unique quadrilateral
A. A parallelogram with adjacent sides 5.5 cm and 4.2 cm.
B. A rectangle with adjacent sides of lengths 5 cm and 4 cm.
C. A rhombus whose diagonals are 5.2 cm and 6.4 cm long.
D. The square with side 5 cm

Answer 1

Answer:

Steps of construction:

(a) Draw a line segment AC = 5.2 cm and draw perpendicular bisectors of AC.

(b) Since, diagonals of rhombus bisect each other at mid-point O, therefore OB=OD = 6.4/2 i.e., 3.2 cm.

(c) Draw two arcs on both sides of AC of radius 3.2 cm from intersection point O, which intersects at B and D.

(d) Join AB, BC, CD and DA.

It is required rhombus ABCD

Step-by-step explanation:

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