SOLUTION:
Step 1:
In this question, we are given the following:
If point X (-4,5) was rotated 180 Degrees
counterclockwise around the origin, what would the coordinates of X' be?
Step 2:
The details of the solution are as follows:
180 Degree Rotation
When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative.
[tex]\begin{gathered} So,\text{ we have that:} \\ X\text{ \lparen -4 , 5 \rparen} \\ Then,\text{ we have that:} \\ X^I\text{ \lparen-- 4, -5 \rparen= X}^{I\text{ }}(\text{ 4, -5 \rparen} \end{gathered}[/tex]CONCLUSION:
The final answer is:
[tex]X^I(\text{ 4, - 5 \rparen}[/tex]