Polygon ABCD is drawn with vertices A(−4, −4), B(−4, −6), C(−1, −6), D(−1, −4). Determine the image coordinates of B′ if the preimage is reflected across y = 3.
B′(−4, 6)
B′(−4, 12)
B′(−1, −3)
B′(10, −6)
To reflect point B across y = 3, we need to find the distance between point B and the line y = 3 and then move that same distance to the other side of the line.
The distance between point B and the line y = 3 is 6 units.
So, we move point B up 6 units to reflect it across y = 3.
The y-coordinate of point B is -6, and moving it up 6 units gives us:
-6 + 6 = 0.
Therefore, the image coordinates of B' are (-4, 0).
Therefore, the correct answer is B'(-4, 0).