Question

Can a quadrilateral ABCD be a parallelogram for the following condition?
(Enter 1 for true and 0 for False) AB=DC=8cm, AD=4cm and BC=4.4cm.

Answer 1

Hint: As we know that the opposite sides of parallelogram is equal so we apply and check this condition on this given parallelogram, as AB=DC=8cm, these 2 sides are same but we have to check for other two sides AD=4cm and BC=4.4cm are not equal so it will not be a parallelogram.

Complete step-by-step answer:

In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. (in given figure AB parallel to CD and AD parallel to BC) The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
Now we are given a quadrilateral (a polygon having 4 sides) ABCD with length of sides as given AB=DC=8cm, AD=4cm and BC=4.4cm. Now as we know that the condition for quadrilateral to be a parallelogram is length of opposite sides should be equal.SO it is clearly visible that opposite sides AB and DC are equal but the other two opposite sides are given as AD=4cm and BC=4.4cm.
Which are not equal, so this given quadrilateral is not a parallelogram.
Hence the answer is false or 0, which means it is not a parallelogram

Note: The other condition to check for parallelogram is opposite angles are equal which means \[\angle ADC=\angle ABC\]and one Note: The more thing we can say that as opposite sides AB and CD are parallel so we can say \[\angle ADC+\angle DAB=180\]. The diagonals of a parallelogram bisect each other.
a parallelogram can also become a square when the diagonals are equal and bisect and perpendicular to each other.