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To add on, the concepts mentioned above are that in constructive interference, the amplitudes of the two waves summate (add together). In destructive interference, the amplitude's of the two waves cancel each other out.
The properties of light being explained as a wave was shown in Young's double slit experiment. In the experiment, a beam of light was split into two beams through two slits and then recombined, and interference effects were displayed. If light was simply a classical particle then the expected pattern would just be the sum of the two slit patterns. But instead, what actually happens is we get an alternating series of light and dark bands, which is explained by the concepts of constructive and destructive interference, as explained by the posts above me. The distribution of brightness is explained by the additive and subtractive interference patterns of waves. This is what is meant by "wavelike properties."
I think by wavelike properties it also means that there is a quantifiable wavelength and frequency. Like how we discussed in class that all objects theoretically have wavelike properties, but only we can only measure it for small objects.
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