Chapter 14.2, Problem 12WE

a.

To determine

To find: image of O $(0,0)$ in the x-axis

Answer to Problem 12WE

  $R_{x-axis}:O=(0,0)\to (0,0)$

Explanation of Solution

Given information: coordinate of point O is $(0,0)$

image of O $(0,0)$ in the x-axis is $(0,0)$ as the point lie in the line of reflection

b.

To determine

To find: image of O $(0,0)$ in the y-axis

Answer to Problem 12WE

  $R_{y-axis}:O=(0,0)\to (0,0)$

Explanation of Solution

Given information: coordinate of point O is $(0,0)$

image of O $(0,0)$ in the y-axis is $(0,0)$ as the point pass through the y-axis

c.

To determine

To find: image of O $(0,0)$ in the line $x=y$

Answer to Problem 12WE

  $R_{y=x}:O=(0,0)\to (0,0)$

Explanation of Solution

Given information: coordinate of point O is $(0,0)$

the image of $(0,0)$ in the line $x=y$ is $(0,0)$ as the point lie in the line of reflection.