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Geometry. 1.2 Points, Lines and Planes. 1.2 Basic Vocabulary. Point has no size , but is represented by a dot . P all geometric figures consist of points. Line extends in 2 directions without ending has length, but no width or thickness - PowerPoint PPT Presentation
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Geometry
1.2 Points, Lines and Planes
1.2 Basic Vocabulary1.2 Basic Vocabulary
PointPoint
has no size , but is has no size , but is represented represented by a dotby a dot .. PP
all geometric figures all geometric figures consist of consist of pointspoints
LineLineextends in 2 directions without extends in 2 directions without
endingending
has length, but no width or thicknesshas length, but no width or thickness(like a point, the picture is symbolic)(like a point, the picture is symbolic)
Line Line dd
PlanePlaneextends in all directions without endingextends in all directions without ending
like a floor or a walllike a floor or a wall
has length and width, but no thicknesshas length and width, but no thickness(like a point and line, the picture is symbolic)(like a point and line, the picture is symbolic)
Plane Plane KK
K
• In Geometry, the terms point, line and plane are
• accepted as intuitive ideas
• not defined
• used in definitions of other terms
Some More DefinitionsSome More Definitions
SpaceSpace the set of all pointsthe set of all points
Collinear pointsCollinear points points all in one linepoints all in one line
Noncollinear pointsNoncollinear points points not in one points not in one lineline
Still MoreStill More
Coplanar pointsCoplanar points points all in one points all in one planeplane
Noncoplanar pointsNoncoplanar points points not all in points not all in one one planeplane
More about linesMore about lines
The intersection of two lines is a The intersection of two lines is a
______________?______________?
PointPoint
More about planesMore about planes
The intersection of The intersection of two planes is a two planes is a
______________?______________?
LineLine
More about planesMore about planes
The intersection of a plane and a line The intersection of a plane and a line not on that plane is a not on that plane is a
______________?______________?
PointPoint
Check for understandingCheck for understanding
Turn to page 7 in your textbookTurn to page 7 in your textbook
Examine the figures on the right side Examine the figures on the right side of the pageof the page
Let’s do Classroom Exercises (CE) Let’s do Classroom Exercises (CE) #1-20 together (you have seen some #1-20 together (you have seen some of these before) Roll the dice!of these before) Roll the dice!
• P. 7 WE # 1-33 odd
P. 10 #40-46 Even
Look at Section 1.3
P. 14 #1-24 (4X) (1,4,8, etc…)
Homework 1B