Geometry Chapter 1

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LINE

contains at least 2 points
PLANE

contains at least 3 noncollinear points
SPACE

contains at least 4 noncoplanar points
POSTULATE 6

through any 2 points there is exactly 1 line
POSTULATE 7
- through any 3 points there is at least 1 plane
- through any 3 noncollinear points there is exactly 1 plane
POSTULATE 8

if 2 points are in a plane, then the line that contains the points is in that plane
THEOREMS:
- If 2 lines intersect, then they intersect in exactly one point
- Through a line and a pont not on the line, there is exactly one plane
- If two lines intersect, then exactly one plane contains the lines
"RULER POSTULATE"

segments can be measured
"SEGMENT ADDITION POSTULATE"

If B is between A and C, then AB+BC=AC
"PROTRACTOR POSTULATE"

angles can be measured
"ANGLE ADDITION POSTULATE"

if point B lies in the interior of angle AOC, then m∠AOC+m∠BOC=m∠AOC.
POSTULATE

statement always accepted as true
THEOREM

an important statement that is proved

Author

103411

Card Set

Geometry Chapter 1

Description

postulate descriptions

Updated

2011-09-21T22:45:02Z

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