Question

axis of reflection
find the coordinates of z after a reflection across y = 1.
(1 point)
o z (4,0)
o z (6,2)
o z (-4,0)
o z (-4,2)

Explanation:

Step1: Recall reflection rule for y - axis

For a reflection across the line $y = k$, the formula for reflecting a point $(x,y)$ is $(x,2k - y)$. Here $k = 1$.

Step2: Identify coordinates of point Z

The coordinates of point $Z$ are $(6,0)$.

Step3: Apply the reflection formula

Substitute $x = 6$, $y=0$ and $k = 1$ into the formula $(x,2k - y)$. We get $(6,2\times1 - 0)=(6,2)$.

Answer:

B. $Z'(6,2)$