Final answer:
The measurements from crest-to-crest and trough-to-trough are the same. The number of times the wave crosses the x-axis is directly proportional to the distance between two crests or troughs.
Step-by-step explanation:
The pattern between the measurements from crest-to-crest and the measurements from trough-to-trough is that they are the same. In other words, the distance between two crests is equal to the distance between two troughs in the same trial. This pattern is consistent with the wavelength of a wave.
The number of times the wave crosses the x-axis is related to the distance between two crests or two troughs. Each time the wave crosses the x-axis, it completes one full wavelength. Therefore, the number of times the wave crosses the x-axis is directly proportional to the distance between two crests or two troughs.
For example, if the wave crosses the x-axis twice in a given measurement, the distance between two crests or two troughs would be twice as long.
Learn more about Wave measurements