Question

Which set of ordered pairs has point symmetry with respect to the origin (0, 0)? (-12, 5), (-5, 12) (-12, 5), (12, -5) (-12, 5), (-12, -5) (-12, 5), (12, 5)

Answer 1

Answer:

  (-12, 5), (12, -5)

Step-by-step explanation:

Reflection across the origin is the transformation ...

   (x, y) ⇒ (-x, -y)

Look for coordinates that are the opposites of their counterparts. You will find the appropriate answer choice is ...

  (-12, 5), (12, -5)

Answer 2

Answer:

(-12, 5), (12, -5)

Step-by-step explanation:

Since, the rule of point symmetry with respect to the origin is,

$(x,y)\rightarrow (-x, -y)$

That is, the mirror image of the point (x, y) with respect to the origin is (-x,-y),

Thus, in the point symmetry with respect to the origin,

$(-12, 5)\rightarrow (-(-12), -5))$

So, the mirror image of point (-12,5) with respect to the origin is (12, -5),

Hence, the set of ordered pairs has point symmetry with respect to the origin is,

(-12, 5), (12, -5)

Second option is correct.