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1.3 Points, Lines, and Planes. Points. __________________________________________________________________________ It has no __________ Represented by a ____________ _________ Named with a ______________ ___________
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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