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
Paralleogram
P' is image after reflection of point P(5, 3) of point P (-5, -3)
PM=√(5−5)2+(3−0)2=3
P′N=√(−5−(−5))2+(−3,−0)2=3
PN=√[5−(−5)]2+(3−0)2=√100+9=√109
P′M=√(−5−5)2+(−3−0)2=√100+9=√109
Opposite sides are equal and parallel - Hence it is a parallelogram.