You haven't provided the original coordinates or the figure, therefore, I cannot give an exact answer. However, I will help you with the concept.
For rotation 180° about the origin, the signs of both the x any y coordinates are changed.
<u>This can be modeled as follows:</u>
(x,y) ......> rotation 180° about the origin ........> (-x,-y)
<u>Examples:</u>
(1,2) .......> rotation 180° about the origin ........> (-1,-2)
(2,-19) ....> rotation 180° about the origin ........> (-2,19)
(-3,-8) .....> rotation 180° about the origin ........> (3,8)
(-5,7) ......> rotation 180° about the origin ........> (5,-7)
Based on the above, all you have to do to get the coordinates of C' is change the signs of both the x and y coordinates
Hope this helps :)
The answer to your question is C.
Step-by-step explanation:
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Answer:
option 4: The line x = 2 is not included in the solution region is the correct option.
Step-by-step explanation:
Given the inequality
x > 2
It is clear that the given inequality is in the simple form which indicates that x is greater than 2.
Please check the attached graph.
As x is greater than 2, thus a dashed line at x = 2 on the graph indicate indicates that x = 2 is not included in the solution region.
- <em>Please remember that inequalities that use < or > symbols are drawn with a dashed line in order to display that line is not included in the region.</em>
Thus, the solution to the inequality is:

The solution indicates that that the value of x will be greater than 2.
Please check the attached graph.
A dashed line at x = 2 on the graph indicates that x = 2 is not included in the solution region.
Hence, option 4: The line x = 2 is not included in the solution region is the correct option.