In the figure given below, \[PQRS\] is a parallelogram. If \[AP,\]\[AQ,\]\[CR\] and \[CS\] are bisectors of \[\angle P,\]\[\angle Q,\]\[\angle R\]and \[\angle S\]respectively, then \[ABCD\] is a |
A) Square
B) rhombus
C) Rectangle
D) None of these
Correct Answer: C
Solution :
Clearly, \[AB||DC\]and \[AD||BC.\] |
Therefore, ABCD is a parallelogram but it is not necessary that \[AB=BC.\] |
Thus, ABCD is a rectangle. |
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