Term
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Definition
| as the word segment comes from a Latin word meaning to cut, this is a set of points created by cutting a line in two places, creating a piece of a line. Formally in our geometry the set of points is a line segment if and only if it is the union of two points on a line, called the endpoints of the segment and all teh sets of points between them |
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Term
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Definition
| formally in our geometry a given real number x si the length of a line segment NM if adn only if that real number represents teh distance between teh endpoints M and N of the line segment. That length is designated byu writing a lower caser m in from of the symnol for teh line segment, or simply by writing the symbol fo rthe line segment without the segment bar over it and readign it as the measure of line segment MN or the measure of MN |
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Term
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Definition
| formallyh in our geometry two line segments are said to be congruent fromt eh Latin meaning to agree if and only if they are exactly the same size and shape. This relationship is symbolized by an is equal to sign with a wavy line on top |
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Term
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Definition
| techincally becuase line segments are sets of points they can never be equal in teh arithmetic sense. formally in our geometry two lien segments are said to be equal if adn oly if the real numbers representing their lengths are equal |
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Term
| relationship between congruent line segments and equal line segments |
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Definition
| formally in our geometry two line segments are congruent if and only fi the meausres of the two line segments are equal. in other words segments that have the same length are congruent |
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Term
| midpoint of a line segment |
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Definition
| a point that is in the middle of a line segment formally in our geometry a point on a line segment is teh midpoint of the segment if and only if the point is between the enpoints and divides the given segment into two congruent segments |
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Term
| bisector of a line segment |
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Definition
| from two Latin words meaning to cut in two this is any suitable geometric figure which cuts a line segment into two congruent segments. formally in our geometry any point line segment, ray, or plane is acalled a bisector of a line segment if and only if it intersects the line segment in the midpoint |
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