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zigzag
A concave polygon.
A diagonal is a straight line connecting two non-consecutive points in a four or more sided polygon without overlapping any of the sides.
It should be convex
For a circle, the length and width are the same: from one side of the circle to the opposite point is the same value. The diameter is the longest possible length of any line connecting two points on the circle. This differs from a square or rectangle, where the length or width is not the longest line, but rather the diagonal from opposite corners.
zigzag
zigzag
The locus of the points equidistant from any two points is a straight line. In a square when the points are two opposite vertices this line will pass trough the other two vertices - extending the diagonal between those other two vertices outside the square.
A concave polygon.
It is a convex polygon.
A convex polygon
A diagonal is a straight line connecting two non-consecutive points in a four or more sided polygon without overlapping any of the sides.
It connects two vertices which are not adjacent to one another.
It should be convex
For a circle, the length and width are the same: from one side of the circle to the opposite point is the same value. The diameter is the longest possible length of any line connecting two points on the circle. This differs from a square or rectangle, where the length or width is not the longest line, but rather the diagonal from opposite corners.
A point in 3 dimensional space will have three coordinates associated with it. These may be Cartesian or Polar and how you plot the point will depend on that. Given two diagonal points of a rectangular prism, there are infinitely many possible orientations. To see this hold a small box (a rectanglar prism) with your thumb and forefinger pressing against opposite vertices. You can then rotate the box representing the various possible orientations of the prism.
Not too sure of the question but the only polygon that has no diagonals is a triangle.