Answer
(a) The symmetric point with respect to the x-axis for $(-2,1)$ is $(-2,-1)$.
(b) The symmetric point with respect to the y-axis for $(-2,1)$ is $(2,1)$.
(c) The symmetric point with respect to the origin for $(-2,1)$ is $(2,-1)$.
Refer to the plot below.
Work Step by Step
The point that is symmetric to the given point with respect to the $x$-axis can be reached by changing the coordinate from $(x,y)$ to $(x,-y)$:
The symmetric point with respect to the $x$-axis for $(-2,1)$ is $(-2,-1)$.
The point that is symmetric to the given point with respect to the $y$-axis can be reached by changing the coordinate from $(x,y)$ to $(-x,y)$:
The symmetric point with respect to the $y$-axis for $(-2,1)$ is $(2,1)$.
The point that is symmetric to the given point with respect to the origin can be reached by changing the coordinate from $(x,y)$ to $(-x,-y)$:
The symmetric point with respect to the origin for $(-2,1)$ is $(2,-1)$.
