Chapter 14.5, Problem 4ST1

a.

To determine

To find the image of the point after reflection in the x-axis.

Answer to Problem 4ST1

The image after reflection in the x-axis is $\left(3,-5\right)$ .

Explanation of Solution

Given information:

The given point is:

  $\left(3,5\right)$

Calculation:

For reflection in the x-axis, change the sign of the y-coordinates.

Hence, the image after reflection in the x-axis is $\left(3,-5\right)$ .

b.

To determine

To find the image of the point after reflection in the y-axis.

Answer to Problem 4ST1

The image after reflection in the y-axis is $\left(-3,5\right)$ .

Explanation of Solution

Given information:

The given point is:

  $\left(3,5\right)$

Calculation:

For reflection in the y-axis, change the sign of the x-coordinates.

Hence, the image after reflection in the y-axis is $\left(-3,5\right)$ .

c.

To determine

To find the image of the point after reflection in the line $y=x$ .

Answer to Problem 4ST1

The image after reflection is $\left(5,3\right)$ .

Explanation of Solution

Given information:

The given point is:

  $\left(3,5\right)$

Calculation:

For reflection in the line $y=x$ , interchange the position of the x and y coordinates.

Hence, the image after reflection is $\left(5,3\right)$