What is point B after a translation of 1 units right and 1 units up followed by a rotation of 180 degrees around the origin
After a translation of 1 unit right and 1 unit up, the coordinates of point B would shift by (1, 1). So if the original coordinates of point B were (x, y), the new coordinates would be (x + 1, y + 1).
After the translation, if we follow with a rotation of 180 degrees around the origin, the new coordinates of point B would be obtained by reflecting the translated coordinates across the x-axis. So if the coordinates after translation were (x + 1, y + 1), the coordinates after the rotation would be (-x - 1, -(y + 1)).