When a segment is rotated 180^(∘) counterclockwise about the origin, the coordinates of the image's endpoints will change in the following way.
(a,b)→ (- a,- b)
Using this rule on the endpoints of XY, we can find the endpoints of X'Y',
Point
(a,b)
(- a,- b)
X
(- 3,1)
(3,- 1)
Y
(4,- 5)
(- 4,5)
Now we can graph X'Y'
Next, we have to translate X'Y' by going 1 step to the left and 1 step up.
(x,y) → (x - 1,y + 1).
Let's do this translation.
Finally, we will remove the unnecessary parts of the graph.
