Question
Polygon JKLM is drawn with vertices J(−4, −4), K(−4, −6), L(−1, −6), M(−1, −4). Determine the image coordinates of K′ if the preimage is reflected across y = −7.
Answers
GPT 3.5
To reflect a point across a horizontal line, such as y = -7, we need to calculate the distance between the point and the line and then move the same distance on the other side of the line.
Given K(-4, -6), the distance between point K and the line y = -7 is 1 unit. This means we need to move 1 unit in the opposite direction to reflect point K across y = -7.
Since y = -7 is in the opposite direction of y = -6, the new y-coordinate for the image point K' will be -8.
Therefore, the image coordinates of K' will be K'(-4, -8).
Given K(-4, -6), the distance between point K and the line y = -7 is 1 unit. This means we need to move 1 unit in the opposite direction to reflect point K across y = -7.
Since y = -7 is in the opposite direction of y = -6, the new y-coordinate for the image point K' will be -8.
Therefore, the image coordinates of K' will be K'(-4, -8).