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Lesson 1-2 Points, Lines, and Planes (page 5) Essential Question How are the relationships of geometric figures used in real life situations?

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Presentation on theme: "Lesson 1-2 Points, Lines, and Planes (page 5) Essential Question How are the relationships of geometric figures used in real life situations?"— Presentation transcript:

1 Lesson 1-2 Points, Lines, and Planes (page 5) Essential Question How are the relationships of geometric figures used in real life situations?

2 Points: What real life objects are made up of points (dots)?

3 Georges Seurat Born: December 2, 1859 in Paris, France. Died on March 29, 1891. Pointilism: A method of painting developed by Seurat and Paul Signac in the 1880’s.

4 Sunday Afternoon by Georges Seurat

5 Look up the definitions for Point, Line, and Plane in the glossary in the back of your textbook. POINT: LINE: PLANE: Point, Line, and Plane are the basis to defining other geometry terms, they are accepted without ____________________, therefore they are considered _______________________ terms. definition undefined

6 Descriptions of the Three (3) Undefined Terms POINT picture. (simplest figure in geometry) symbolA. use a capital letter _____________ or ________ or ______ description* has _______ length, width, or thickness * has _______ dimensions * occupies _______ space Point A Pt. AA no

7 What is a point? Check out a “point” from space. Get your free download of Google Earth. http://earth.google.com/

8 Descriptions of the Three (3) Undefined Terms LINE picture (straight mark with arrows on each end) symbol.. l A B or or description* has ____________ but _______ width or thickness * has an ______________ set of points that extends in ___________ directions lengthno infinite two

9 Descriptions of the Three (3) Undefined Terms PLANE picture (slanted four sided figure) A B M D C symbol or or description * has _____________ and ________________ but _______ thickness * has an ______________ set of points that extends in __________ directions * it is a ________________ surface length no infinite all width flat

10 SPACE: the set of ______ points. GEOMETRIC FIGURE: a _____ of points. all set Question: What do you call a fierce beast? Answer: A Lion (a line)

11 COLLINEAR POINTS: points that lie on the same _________. example from figure 1: ______________________________________________________________________ NONCOLLINEAR POINTS: points that do _______ lie on the same line. example from figure 1: _____________________________________________________________________ ABC....DABC....D [figure 1] line not

12 COPLANAR POINTS: points that lie on the same ___________. example from figure 2: ________________________________________________________________________ NONCOPLANAR POINTS: points that do _______ lie on the same plane. example from figure 2: ________________________________________________________________________. V W. X.. Y. Z [figure 2] plane not

13 INTERSECTION (of two or more figures) : the set of ______________ that are common to all figures. (1) Examples of intersecting lines: 1 point in common NO points in common points

14 (2) Examples of intersecting planes: Infinite amount of points in common

15 (2) Examples of intersecting planes: Infinite amount of points in common NO points in common

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19 Assignment Written Exercises on pages 7 to 9 RECOMMENDED: 1 to 9 odd numbers REQUIRED: 11 to 35 odd numbers Prepare for a quiz on Lessons 1-1 and 1-2 How are the relationships of geometric figures used in real life situations?


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