Points, Lines and Planes: Understanding Geometry, Lecture notes of Geometry

Definitions, descriptions, and interactive activities related to the fundamental concepts of geometry: points, lines, and planes. Students can learn about the properties of these geometric figures, including their names, sizes, and relationships to one another.

Typology: Lecture notes

2021/2022

Uploaded on 09/27/2022

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Points,lines,andplanes
1
August02,2011
Titleofsection
Geometry
Points, Lines and
Planes
Geometry
Points, Lines and
Planes
undefined
undefined
Points, Lines and Planes
are considered to be
undefined
.
May610:23AM
Descriptions of Point, Line and Plane
Point
Line
Plane
A location
No size
A small dot
A series of points
Extends in two opposite directions
A flat surface
Contains many lines
Named with a capital letter
Named with a lowercase letter
Contains infinitely many points
Pinpageandusedualscreentodragdescriptionstopoint,lineandplanepages...
Descriptionsofpointslinesandplanes
Point
Named with a capital letter
A location
No size
A small dot
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pf5

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Title of section

Geometry

Points, Lines and

Planes

Geometry

Points, Lines and

Planes

undefined

undefined

Points, Lines and Planes

are considered to be

undefined.

May 610:23 AM Descriptions of Point,Point LineLine and PlanePlane A location No size A small dot A series of points Extends in two opposite directions A flat surface Contains many lines Named with a capital letter Named with a lowercase letter Contains infinitely many points Pin page and use dual screen to drag descriptions to point, line and plane pages... Descriptions of points lines and planes Point Named with a capital letter A location No size A small dot

Descriptions of points lines and planes Line Named with a lowercase letter Extends in two opposite directions Contains infinitely many points A series of points Descriptions of points lines and planes Plane Named with a capital letter Contains infinitely many points A flat surface Contains many lines interactive descriptions name the shape

A

B

C

m

D

E F

P

Name the shapes

Postulate 13 Postulate 13 If two planes intersect, then they intersect in exactly one line. Postulate 14 Postulate 14 Through any three noncollinear points there is exactly one plane. A (^) B C (^) D F E H G collinear interactive Are the three points collinear? G (^) A B (^) C (^) D E F sometimes, always never Use sometimes, always or never to fill in the blanks. sometimes always never

  1. Intersecting lines are __________ coplanar.
  2. Two planes ___________intersect in exactly one point.
  3. Three points are __________ coplanar.
    1. Four points are ______________ coplanar. CheckCheck

Draw if possible Draw, if possible... Four collinear points Two noncollinear points Three noncollinear points Three noncoplanar points Student response system

Closure

Grade: 1012 Subject: Geometry Date: (^)? 3 undefined terms 1 The three undefined terms are A point, line, space B point, line, plane C point, plane, space D line, point, space set of all points 2 The set of all points is called A line B plane C space D axiom