Chapter 14.2, Problem 7WE

a.

To determine

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

Answer to Problem 7WE

Image of $A$ in the $x-axis$ is $(2,-4)$ , $R_{x-axis}:A=(2,4)\to (2,-4)$

Explanation of Solution

Given information: coordinate of A is $(2,4)$

reflection of $A=(2,4)$ in the x-axis is $(2,-4)$

b.

To determine

To find: image of A in the $y-axis$

Answer to Problem 7WE

  $R_{y-axis}:A=(2,4)\to (-2,4)$

Explanation of Solution

Given information: coordinate of A is $(2,4)$

reflection of $A=(2,4)$ in the y-axis is $(-2,4)$

c.

To determine

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

Answer to Problem 7WE

  $R_{y=x}:A=(2,4)\to (4,2)$

Explanation of Solution

Given information: coordinate of A is $(2,4)$

reflection of $A=(2,4)$ in the line $y=x$ is $(4,2)$