Question

The coordinates of point A on a coordinate grid are (−2, −3). Point A is reflected across the y-axis to obtain point B and across the x-axis to obtain point C. What are the coordinates of points B and C?
B(2, 3) and, C(−2, −3)
B(−2, −3) and C(2, 3)
B(2, −3) and C(−2, 3)
B(−2, 3) and C(2, −3)

Answer 1

Point A is situated in the 4th quadrant. To obtain point B, we have to apply symmetry and reflect point A across the y-axis. Thus, the ordinate would still be -3, but the abscissa would be +2. So, point B is (+2,-3). For point C, we have to reflect it across the x-axis. This time, the abscissa remains to be -2, while the ordinate becomes +3. So, point C is (-2,+3).

Thus, the answer is B(2, −3) and C(−2, 3)