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| from L angulus meaning corner, this is in fact a corner of a simple closed plane curve madu up of straight line segments. formally in our geometry a gemoetric figure is an angle if and only if it is the union of two different rays called the sides of the angle with a comon endpoint called the vertex of the angle. we refer to an angle by using a small symbol for an angle along with specific points on the rays being sure to place the letter for the vertex between teh letters for the other two points |
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| formally in our geometry a set of points is a half line, if and only if, it is one of the two sets of points on either side of a specific point on a line, called the separation point |
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| a set of points is a half plane if and only if it is one of the two sets of points on either side of a specific line on a plane called the separation line |
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| a set of points is a half space if and only if it is one of the two sets of points on either sides of a specific plane in a space called the separation plane |
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| the more common name for a separation line in a plane. generally used when combining a half plane with a separation line, in an effort to clearly describe the interior and exterior of an angle |
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| a point can be considered as clearly being in teh interior of an angle only if one ray of the angle lies in teh edge of a half plane and the point is between the two rays making up the angle |
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| a point can be considered as clearly being in teh exterior of an angle, only if one ray of the angle lies in the edge of a half plane and the point is not between the two rays making up the angle |
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