Segments: Measuring, Midpoints and Congruence

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Segments Measuring, Midpoints and Congruence
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Measuring Segments
G
D
E
F
E is between D and F G is not between D and F

• For a point to be between 2 other points all
  three points must be collinear

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• AB segment AB
• consists of point A, point B, and all points
  between A and B.

• AB measure of AB the distance between A and B.

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Midpoints and Segment Congruence

• Definition of Midpoint The midpoint M of PQ is
  the point between P and Q such that PMMQ

• Definition of Segment Bisector A segment, line,
  or plan that intersects a segment at its midpoint

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Midpoint on a Number Line

• The midpoint of a segment whose endpoints have
  coordinates a and b is

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Midpoint on the Coordinate Plane

• The segment whose enpoints have coordinates
  and has its midpoints at

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Postulate

• A statement that is assumed to be true

• Ruler Postulate The points on any number line
  can be paired with real numbers so that, given
  any 2 points P and Q on the line, P corresponds
  to zero, and Q corresponds to a positive number.

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Distance on a Number Line

• Absolute value of the difference between the
  coordinates.

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Segment Addition Postulate
If Q is between P and R, then PQ QR PR. If
PQ QR PR, then Q is between P and R.
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Classwork/Homework

• See the back board