Here we have a problem of reflections and of how these reflections affect lines. Here we will find that the reflection does not affect the pair of parallel lines, and in the flipped shape we still have a pair of parallel lines.
We can define two parallel lines as two lines that never meet.
And, for a given point (x, y), the simplest reflection across a horizontal line is the reflection across the x-axis (or the line y = 0) as it transforms the point into:
(x, - y)
And all the reflections across horizontal lines will only affect the y-value of the points.
Now, particularly, we have two vertical and parallel lines.
Notice that a vertical line is defined by its x-value, and the transformation we used does not affect the x-value, so a reflection across a horizontal line will not affect a vertical line.
From this, we can conclude that the reflection across a horizontal line will not affect the pair of vertical parallel lines, so at the end, we still have only one pair of parallel lines.
If you want to learn more, you can read:
https://brainly.com/question/15627170
