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CBSE Class 9 Answered

ABCD is a parallelogram. What special name will you give it if the following facts are known? (i) AB = AD (ii)DAB = 90o (iii) AB = AD and DAB = 90o
Asked by Topperlearning User | 16 Aug, 2017, 02:23: PM
answered-by-expert Expert Answer
It is a parallelogram 
two pairs of opposite sides are parallel and equal
 
(i)) If AB = AD then you can say that AB = BC = CD = AD
A parallelogram having all sides equal is called a RHOMBUS.
 
(ii) If DAB = 90o. This means that all angles will be right angles, as opposite angles of parallelogram are equal, and sum of co-interior angles is 180o.
A parallelogram each of whose angles is 90o is called a RECTANGLE.
 
(iii) If AB = AD and DAB = 90o, this means that all angles will be right angles as opposite angles of parallelogram are equal, and sum of co-interior angles is 180o, and all sides will be equal.
A parallelogram each of whose angles is 90o, and all sides are equal, is called a SQUARE.
Answered by | 16 Aug, 2017, 04:23: PM

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