Which of the following shows the two lines of reflection that produce an equivalent transformation of the translation △STU→△S'T'U'?

The correct option is;

The fourth option

Please the attached drawing created with MS Visio

Step-by-step explanation:

From the given figure, we have;

The orientation of ΔSTU is equal to the orientation of ΔS'T'U'

When the plane of reflection is assumed to be the y-axis, we have;

For a reflection about the y-axis, we have;

The coordinate of the preimage = (x, y)

The coordinate of the image after the reflection = (-x, y)

When the image (-x, y) is reflected again across the y-axis, and becomes the image, we have;

The coordinate of the preimage = (-x, y)

The coordinate of the image after the reflection = (x, y)

Therefore, a reflection twice across the same y-axis would result in an image having the same orientation as the preimage

Given that a y-axis is parallel to another y-axis, we have;

A reflection twice across two parallel axis would result in an image having the same orientation as the preimage

The correct option is the 4th option

Please see attached drawing created with MS Visio

x

step-by-step explanation:

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: