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Answer :

Answer:

[tex]Z' = (-6,-2)[/tex]

Step-by-step explanation:

Given

[tex]Z = (6,2)[/tex]

Transformation: 180 degrees clockwise around the origin

Required

Determine the new coordinates Z'

When a point (x,y) is rotated 180 degrees clockwise around the origin, the new point is: (-x,-y)

So:

[tex]Z = (6,2)[/tex]

Then:

[tex]Z' = (-6,-2)[/tex]