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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)

2 Answers

5 votes

Answer:

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

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.

User Cistearns
by
8.0k points
5 votes

Answer:

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

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)

User Duduklein
by
7.6k points

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