Question

Points A-D are reflected in the x-axis. Points E-H are reflected in the y-axis. State the coordinates of the images.

Short answer

$\begin{array}{l}{R}_x:A(-4,5)\to (-4,-5)\\ R_x:B(2,4)\to (2,-4)\\ R_x:C(5,-1)\to (5,1)\\ R_x:D(x,y)\to (x,-y)\end{array}$

Step-by-step solution

Step 1. Given Information.

Four points and there coordinate are, $A(-4,5)$, $B(2,4)$, $C(5,-1)$ and $D(x,y)$.

Step 2. Explanation.

Image of any point in the x axis is the point which has same x-coordinateand negative y-coordinate.

Therefore,

Image of $(-4,5)$is $(-4,-5)$.

Image of $(2,4)$ is $(2,-4)$.

Image of $(5,-1)$ is $(5,1)$.

Image of $(x,y)$ is $(x,-y)$.

Step 3. Conclusion.

Hence, the coordinates of the image are,

$\begin{array}{l}{R}_x:A(-4,5)\to (-4,-5)\\ R_x:B(2,4)\to (2,-4)\\ R_x:C(5,-1)\to (5,1)\\ R_x:D(x,y)\to (x,-y)\end{array}$