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Question

The point P(5, 3) was reflected in the origin to get P'. If M is foot of the perpendicular from P to x -axis & N is foot of the perpendicular from P' to x -axis , Name the figure PMP'N


A

Rectangle

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B

Paralleogram

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C

Rhombus

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D

Square

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Solution

The correct option is B

Paralleogram


P' is image after reflection of point P(5, 3) of point P (-5, -3)

PM=(55)2+(30)2=3

PN=(5(5))2+(3,0)2=3

PN=[5(5)]2+(30)2=100+9=109

PM=(55)2+(30)2=100+9=109

Opposite sides are equal and parallel - Hence it is a parallelogram.


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