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.

K′(−4, −4)
K′(−4, −5)
K′(−4, 6)
K′(−4, −8)

Answer 1

To reflect a point across a horizontal line, we keep the x-coordinate the same, but negate the y-coordinate of the point. In this case, the line of reflection is y = -7. Therefore, to find the image coordinate of K′, we negate the y-coordinate of K and add 3 (since -7 - (-6) = -1):

K′(-4, -6 - (-7) + 3) = K′(-4, 4)

So the correct answer is K′(-4, 4)

Answer 2

Answer: -4,6

Explanation: