Triangle ham is reflected over the y-axis using the rule (x, y) → (−x, y) to create triangle h′a′m′. if a line segment is drawn from point a to point a′, which statement would best describe the line segment drawn in relation to the y-axis?

The line segment which is drawn from point A to point A′ is perpendicular to the y-axis

Step-by-step explanation:

* Lets explain the meaning of reflection in mathematics

- Reflection is a transformation where each point in a shape appears at

 an equal distance on the opposite side of a the line of reflection

- That line is called the axis of reflection

-  When a figure is reflected, the line of reflection is the perpendicular

  bisector of all segments that connect the image points to their

  corresponding image points

- If point (x , y) reflected across the x-axis

 ∴ Its image is (x , -y)

- If point (x , y) reflected across the y-axis

 ∴ Its image is (-x , y)

- If point (x , y) reflected across the line y = x

 ∴ Its image is (y , x)

- If point (x , y) reflected across the line y = -x

 ∴ Its image is (-y , -x)

- If point (x , y) reflected across the origin (0 , 0)

 ∴ Its image is (-x , -y)

* Lets solve the problem

∵ Triangle HAM is reflected over the y-axis using the rule

   (x ,  y) → (-x , y) to create triangle H′A′M′

∴ The line of the reflection is the y-axis

∵ The line of reflection is the perpendicular bisector of all segments

  that connect the image points to their corresponding image points

∴ The y-axis is perpendicular bisector to the line AA'

∴ AA' ⊥ y-axis

∴ The line segment which is drawn from point A to point A′ is

   perpendicular to the y-axis