Chapter 14.2, Problem 8WE

a.

To determine

To find: image of B in the $x-axis$

Answer to Problem 8WE

Image of Bin the $x-axis$ is $(4,0)$ , $R_{x-axis}:B=(4,0)\to (4,0)$

Explanation of Solution

Given information: coordinate of point B is $(4,0)$

image of B $(4,0)$ in the x-axis is $(4,0)$ . The image of point is itself as it is on the line in which the image is taken.

b.

To determine

To find: image of B in the y-axis

Answer to Problem 8WE

  $R_{y-axis}:B=(4,0)\to (-4,0)$

Explanation of Solution

Given information: coordinate of point B is $(4,0)$

image of B $(4,0)$ in the y-axis is $(-4,0)$

c.

To determine

To find: image of B in the line $x=y$

Answer to Problem 8WE

  $R_{y=x}:B=(4,0)\to (0,4)$

Explanation of Solution

Given information: coordinate of point B is $(4,0)$

image of B $(4,0)$ in the line $x=y$ is $(0,4)$