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 transcript:

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

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

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

Sunday Afternoon by Georges Seurat

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

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

What is a point? Check out a “point” from space. Get your free download of Google Earth.

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

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

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)

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

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

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

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

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

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?