Answer:
Construct a line from A perpendicular to the x-axis, determine the distance from A to the x-axis along this perpendicular line, find a new point on the other side of the x-axis that is equidistant from the x-axis
Step-by-step explanation:
we know that
The rule of the reflection of a point across the x-axis is equal to
(x,y) -----> (x,-y)
That means ----> The reflected point will be located equidistant from the x-axis
so
Construct a line from A perpendicular to the x-axis
Determine the distance from A to the x-axis along this perpendicular line
Find a new point on the other side of the x-axis that is equidistant from the x-axis
therefore
A(-2,1) --------> A'(-2,-1)
The reflection point is A'
The distance of point A to the x-axis is equal to 1 unit
The distance from point A' to the x-axis is also 1 unit