1.2 Measuring and Constructing Segments

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Presentation transcript:

1.2 Measuring and Constructing Segments

_Postulates__ or axioms - statements or ideas that are accepted without proof _Theorems_ - statements that must be proven A point corresponds to one and only one number called a _coordinate__.

The _distance__ between any two points is the absolute value of the difference of the coordinates The distance between two points is called the __length_. __congruent segments__ are segments that have the same length. The symbol for congruence is _____ but can also be written with tick marks.

A _midpoint__ is exactly halfway between two other points __Bisect__ means to cut into two congruent pieces ___Segment bisector___ is any ray, segment, or line, that intersects a segment at its midpoint.

Use the Ruler Postulate to find AB.

Suppose J is between H and K. Find JK. HJ = 5x ; JK = 7x ; HK = 96

Suppose J is between H and K. Find JK. HJ = 2x + 5 ; JK = 3x - 7 ; HK = 18

Suppose J is between H and K. Find JK. HJ = 6x - 5 ; JK = 4x - 6; HK = 129

Write the Segment Addition Postulate if X is between M and A.