Polygon JKLM is drawn with vertices J(−2, −5), K(−4, 0), L(−1, 2), M (0, −1). Determine the image coordinates of K′ if the preimage is translated 6 units up.

Question

K′(−10, 0)
K′(−4, −6)
K′(−4, 6)
K′(2, 0)

Answer 1

To find the image coordinates of point K after translating it 6 units up, we need to take the y-coordinate of point K and add 6 to it.

The coordinates of point K are \( K(-4, 0) \).

• The x-coordinate remains the same: \( -4 \)
• The y-coordinate after translation: \( 0 + 6 = 6 \)

Therefore, the new coordinates for point K′ after the translation are:

\[ K′(-4, 6) \]

Among the given options, the correct answer is:

K′(−4, 6).