Question

skillstream: reflections of two - dimensional figures with coordinates : 30 coins
the graph shows triangle xyz.
what are the coordinates of the image created by reflecting the triangle across the x - axis?

Explanation:

Step1: Recall reflection rule

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

Step2: Find coordinates of reflected points

For point $X(1,4)$, after reflection across the $x -$axis, it becomes $X'(1,-4)$.
For point $Y(3,1)$, after reflection across the $x -$axis, it becomes $Y'(3,-1)$.
For point $Z(5,3)$, after reflection across the $x -$axis, it becomes $Z'(5,-3)$.

Answer:

$X'(1,-4)$, $Y'(3,-1)$, $Z'(5,-3)$