Yes they do tessellate
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They can tesselate - provided they are the correct shapes.
Yes, every triangle will tessellate.
Because angles on a straight line add up to 180 degrees and the 3 interior angles of any triangle add up to 180 degrees. So it follows that all triangles will tessellate.
All triangles can tessellate.
By themselves, only 3: triangle, square and hexagon. But there are combinations: eg octagon + square.