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1.3 Segments & their Measures
Geometry
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Postulates Rules that are accepted as true without proof.
Sometimes they are called axioms.
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Ruler Postulate A B x1 x2 The length of AB can be found by x2-x1
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Example: Find AB. A B Point A is at 1.5 and B is at 5.
So, AB = = 3.5
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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!!
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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
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Ex: if DE=2, EF=5, and DE=FG, find FG, DF, DG, & EG.
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(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.
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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, and AB XY Symbol for congruent
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Practice
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