which set of ordered pairs has point symmetry with respect to origin (0,0)

1- (-12,5), (-5,12)
2- (-12,5), (12,-5)
3- (-12,5), (-12,-5)
4- (-12,5), (12,5)

Question

which set of ordered pairs has point symmetry with respect to origin (0,0)


1- (-12,5), (-5,12) 
2- (-12,5), (12,-5) 
3- (-12,5), (-12,-5) 
4- (-12,5), (12,5)

ganeshie8 · Answer

|dw:1405585503325:dw|

ganeshie8 · Answer

reflecting that point about the origin, takes it to IIIrd quadrant, right ?

ganeshie8 · Answer

|dw:1405585593315:dw|

ganeshie8 · Answer

$$\large (x, y) \to     (-x, -y)$$

ganeshie8 · Answer

above is the relation for symmetry about origin.

ganeshie8 · Answer

check, which of the given ordered pairs satisfy that

ganeshie8 · Answer

lets check first option :
`1- (-12,5), (-5,12) `

clearly, this doesn't satisfy cos x and y values are swapped here

ganeshie8 · Answer

what about second option ?

ganeshie8 · Answer

`2- (-12,5), (12,-5) `

this does satisfy as the second point has x and y values that are negative of the first point.

ganeshie8 · Answer

see if that makes more or less sense...

anonymous · Answer

yes it does thank you  are a good teacher thank you so much

ganeshie8 · Answer

np :)