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

$\begin{array}{l}{R}_y:E(0,5)\to (0,5)\\ R_y:F(6,3)\to (-6,3)\\ R_y:G(-3,1)\to (3,1)\\ R_y:H(x,y)\to (-x,y)\end{array}$

Step-by-step solution

Step 1. Given Information.

The coordinate of points are $E(0,5)$, $F(6,3)$, $G(-3,1)$ and $H(x,y)$

Step 2. Explanation.

When a point is reflected in the y-axis its y-coordinateremains same but its

x-coordinatesign change to its negative.

Therefore,

The image of $E(0,5)$is $(0,5)$.

The image of $F(6,3)$is $(-6,3)$.

The image of $G(-3,1)$is $(3,1)$.

The image of $H(x,y)$is $(-x,y)$.

Step 3. Conclusion.

Hence, the coordinates of the image are,

$\begin{array}{l}{R}_y:E(0,5)\to (0,5)\\ R_y:F(6,3)\to (-6,3)\\ R_y:G(-3,1)\to (3,1)\\ R_y:H(x,y)\to (-x,y)\end{array}$