1.3 Points, Lines, and Planes. Points ___________ _ It has no Represented by.

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Presentation transcript:

1.3 Points, Lines, and Planes

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 1.___________________________________ ― Read “____________________”

2. ____________________________________ ― Read “_____________” or “_____________” ― Written ______________________________ ― Order _________________ _______________, all are _____________ ― Do not name a line with ___________ _____ __________ points ABC

Collinear – _____________________________________ _____________________________________ Non-collinear – _____________________________________ _____________________________________ ABC E

_______, _______, 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 1.___________________ ― Read “_____________” 2. At least three ________________ _________ ― Read “_____________” or “_____________” P Z A P M C

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