Polygon JKLM is drawn with vertices J(−4, −3), K(−4, −6), L(−1, −6), M(−1, −3). Determine the image coordinates of L′ if the pre-image is reflected across y = −3.
L′(−3, 6)
L′(−1, 6)
L′(−1, 0)
L′(1, 0)
In order to reflect point L(−1, −6) across the line y = −3, we need to find the image coordinates of L′.
The distance between y = −6 and y = −3 is 6 units. So, the distance between y = −3 and the image point L′ will also be 6 units.
Since we are reflecting across the line y = −3, the x-coordinate of the image point L′ will be the same as the x-coordinate of L, which is −1.
Therefore, the image coordinates of L′ will be (−1, 0).
So, the correct answer is:
L′(−1, 0)