Question

if the figure is reflected across the y - axis, what will be the new coordinates of point a? a (-1, 6) b (1, 6) c (1, -6) d (-1, -6)

Explanation:

Step1: Recall reflection rule

When a point $(x,y)$ is reflected across the $y -$axis, the transformation rule is $(x,y)\to(-x,y)$.

Step2: Apply rule to point A

Given point A has coordinates $(1,6)$. After reflection across the $y -$axis, $x = 1$ becomes $x=-1$ and $y = 6$ remains the same. So the new coordinates are $(-1,6)$.

Answer:

$(-1,6)$