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Electrons have wavelike properties because of the diffraction that occurs when electrons go through slits and the waves experience constructive (Peaks line up) and destructive interference (Peaks and troughs line up).
Electrons have wavelike properties because they are capable of diffraction. When electrons pass through a crystal/prism, they create a pattern of high and low intensities. When the peaks and troughs of waves traveling along a path interfere with waves along another path, the result is a diffraction pattern. Because electrons behave like waves in electron diffraction, we can say that they have wavelike properties. Hope this helps!
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