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## 1.3 Points, Lines, and Planes

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**Points**• __________________________________________________________________________ • It has no __________ • Represented by a ____________ _________ • Named with a ______________ ___________ • Points are also called ___________________ or an _________________ ___________**Space**• __________________________________________________________________________**Lines**• __________________________________________________________________________ • Must have ________________________ • Has no ___________________ • There are an _____________________ number of ________________ on a line**There are __________ ways to name a line**• ___________________________________ • Read “____________________”**2. ____________________________________**• Read “_____________” or “_____________” • Written ______________________________ • Order _________________ _______________, all are _____________ • Do not name a line with ___________ _____ __________ points • C • B A**Collinear –**__________________________________________________________________________ • Non-collinear – __________________________________________________________________________ E • C • B A**_______, _______, and _______ are collinear**• _______ and _______ are collinear • ______ is non-collinear to ______ and ______**Postulates**• Also called an axiom • Defined as an accepted statement of fact**Postulate 1-1**_____________________________________________________________________________________________________________________**Postulate 1-2**_____________________________________________________________________________________________________________________**If three non-collinear points do not form a line, what do**they form? • Postulate 1-4 _____________________________________________________________________________________________________________________**Planes**• A plane is a _________ ____________ made up of ____________ that extend forever in all directions • Represented by a ______________ • _______ do not have to be the ___________ • A plane has no _____________ • A plane has no ___________________ • There are an ____________ ___________ of ______________ on a plane**There are two ways to name a plane**• ___________________ • Read “_____________” 2. At least three ________________ _________ • Read “_____________” or “_____________” P P Z A C M**Coplanar –**__________________________________________________________________________ _______, _______, _______, and _______ are coplanar • Non-coplanar – __________________________________________________________________________ _______ is non-coplanar with _______, _______, _______, and _______**Postulate 1-3**_____________________________________________________________________________________________________________________**Test Your Understanding(True or False)**• A point is a location in space with a definite size __________ • A line must be drawn with arrowheads__________ • The symbol t represents a plane __________ • A plane is represented by a circle __________ • Lines can only contain two points __________ • Points that lie on the same plane are coplanar __________**Homework**• Diagnostic Test Page xxx #22-27, 30-34