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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 _________________ ___________
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Space _____________________________________ _____________________________________
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Lines _____________________________________ _____________________________________ Must have ________________________ Has no ___________________ There are an _____________________ number of ________________ on a line
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There are __________ ways to name a line 1.___________________________________ ― Read “____________________”
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2. ____________________________________ ― Read “_____________” or “_____________” ― Written ______________________________ ― Order _________________ _______________, all are _____________ ― Do not name a line with ___________ _____ __________ points ABC
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Collinear – _____________________________________ _____________________________________ Non-collinear – _____________________________________ _____________________________________ ABC E
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_______, _______, and _______ are collinear _______ and _______ are collinear ______ is non-collinear to ______ and ______
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Postulates Also called an axiom Defined as an accepted statement of fact
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Postulate 1-1 _______________________________________ _______________________________________ _______________________________________
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Postulate 1-2 _______________________________________ _______________________________________ _______________________________________
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If three non-collinear points do not form a line, what do they form? Postulate 1-4 _______________________________________ _______________________________________ _______________________________________
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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
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There are two ways to name a plane 1.___________________ ― Read “_____________” 2. At least three ________________ _________ ― Read “_____________” or “_____________” P Z A P M C
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Coplanar – _____________________________________ _____________________________________ _______, _______, _______, and _______ are coplanar Non-coplanar – _____________________________________ _____________________________________ _______ is non-coplanar with _______, _______, _______, and _______
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Postulate 1-3 _______________________________________ _______________________________________ _______________________________________
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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 __________
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Homework Diagnostic Test Page xxx #22-27, 30-34
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