If an object is reflected twice over parallel lines, and corresponding points of the original and final translation image are 30 centimeters apart, how far apart are the parallel lines?
To find the distance between the parallel lines, we need to consider that when an object is reflected twice over parallel lines, the distance between corresponding points of the original and final translation image is two times the distance between the parallel lines.
Let's assume the distance between the parallel lines is "x" centimeters. Since the corresponding points are 30 centimeters apart, we can set up the equation:
2 * x = 30
Now we can solve for "x" by dividing both sides of the equation by 2:
x = 30 / 2
x = 15
Therefore, the distance between the parallel lines is 15 centimeters.