1.3 Segments and Measure The segment postulate Distance Formula

Postulate (or Axioms) accepted facts What goes up, must come down. You can not be in two places at the same time. Can you think of others?

The Ruler Postulate Points on a line can be matched with numbers. These points are called Coordinates This would gives us a number line

Definition of distance Distance is the space between two Coordinate points To find Distance we use the Absolute Value of the difference of the two points 224 | 2 – 24| = | 22| so 22 Remember the distance between me and you is the same no matter who hold the end of the tape measure.

Segment Addition If B is between A and C, then AB + BC = AC Or If AB + BC = AC, then B is between A and C ABC

Segment with number When we use AB we mean a number and AB is a shape Lets say AB = 8 and BC = 4, then AC = 12 AB C

The definition of Congruent For two shapes to be congruent, they have the same shape and size. We denote congruent with AB = AD AB AD Numbers Shapes

The Distance Formula If A (x 1, y 1 ) and B (x 2, y 2 ) are points in a coordinate plane, then A:(1,3); B:(5,6)

Homework Page # 20, 22, 23-30, odd, 45, 46, 53, 54, 58