Where is point B after a translation of 5 unit right, then 4 units up, followed by a rotation of 180°
around the origin.
After a translation of 5 units right, the coordinates of point B will have changed by adding 5 to the x-coordinate. So if the original coordinates of point B were (x, y), after the translation, the new coordinates will be (x+5, y).
Then, after a translation of 4 units up, the coordinates will have changed by adding 4 to the y-coordinate. So the coordinates after both translations will be (x+5, y+4).
Finally, if a rotation of 180° around the origin is applied, the x-coordinate will change to its opposite value and the y-coordinate will change to its opposite value as well. Therefore, the new coordinates of point B after the rotation will be (-(x+5), -(y+4)) or (-x-5, -y-4).