1.3 Segments & their Measures

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Presentation transcript:

1.3 Segments & their Measures

Postulates Rules that are accepted as true without having to be proven. Sometimes they are called axioms.

Postulate 1: Ruler post. The points on a line can be matched with those on the real # line. The real # that corresponds to a point is the coordinate of the point. If you find the difference between the coordinates of 2 points, then take the absolute value, you will have the distance between the points.

Ruler post. (continued) A B x1 x2 The length of AB can be found by x2-x1 **The symbol for the length of AB is AB.

Example: Find AB. A B Point A is at 1.5 and B is at 5. So, AB = 5 - 1.5 = 3.5

Is Alex between Ty and Josh? Yes! Ty Alex Josh No, but why not? How about now? In order for a point to be between 2 others, all 3 points MUST BE collinear!!

Post. 2: Segment Addition Post. If B is between A & C, then AB + BC = AC. If AB + BC = AC, then B is between A & C. C B A

Ex: if DE=2, EF=5, and DE=FG, find FG, DF, DG, & EG.

(x1,y1) & (x2,y2) are the 2 points. Reminders: Pythagorean Theorem – a2+b2=c2 a & b are the lengths of the legs of a right triangle and c is the length of the hypotenuse. Distance formula – (x1,y1) & (x2,y2) are the 2 points.

Segments that have the same length. If AB & XY have the same length, Congruent ( ) Segments Segments that have the same length. If AB & XY have the same length, Then AB=XY, but AB XY Symbol for congruent

Assignment Packet Practice 1.3 odd