Lne segment AC and BD are parallel, what are the new endpoints of the line segments AC and BD if the parallel lines are reflected across the y-axis?

Question

asked Oct 21, 2023 184k views

1 Answer

Omnikron · Answer 1 · 2023-10-26T01:09:23+0000

Given a point P = (x, y) a reflection P' alongside the y axis of that point follows the rule:

$P=(x,y)\Rightarrow P^(\prime)=(-x,y)$

We need to multiply the x coordinates of the points by (-1)

The cordinates of the points in the problem are:

A = (2, 5)

B = (2, 4)

C = (-5, 1)

D = (-5, 0)

Then the endpoints of the reflection over the y axis are:

A' = (-2, 5)

B' = (-2, 4)

C' = (5, 1)

D' = (5, 0)

Which is the second option.