Answer:
Rhombus
Step-by-step explanation:
The figure is as follows :
Distance between M and N is [tex]\sqrt{(3-1)^{2} + (4-1)^{2} } = \sqrt{2^{2} + 3^{2} }[/tex] = [tex]\sqrt{4+9} = \sqrt{13}[/tex]
Distance between M and P is [tex]\sqrt{(4-1)^{2} + (3-1)^{2} } = \sqrt{3^{2} + 2^{2} }[/tex] = [tex]\sqrt{9+4} = \sqrt{13}[/tex]
Distance between N and O is [tex]\sqrt{(6-3)^{2} + (6-4)^{2} } = \sqrt{3^{2} + 2^{2} }[/tex] = [tex]\sqrt{9+4} = \sqrt{13}[/tex]
Distance between P and O is [tex]\sqrt{(6-4)^{2} + (6-3)^{2} } = \sqrt{2^{2} + 3^{2} }[/tex] = [tex]\sqrt{4+9} = \sqrt{13}[/tex]
As we can see that all the sides are equal and opposite sides are parallel
So, The correct option is - Rhombus
