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Points Undefined term No length, width, or thickness Named with a capital letter.

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Presentation on theme: "Points Undefined term No length, width, or thickness Named with a capital letter."— Presentation transcript:

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2 Points Undefined term No length, width, or thickness Named with a capital letter

3 Lines Undefined term -- No thickness Length that goes on forever in two directions

4 Naming Lines

5 Intersecting Lines Lines that share a point. Y Lines m and n intersect. Point Y is the point of intersection. m n

6 Parallel Lines Lines in the same plane that do not intersect; planes that do not intersect. k j Lines k and j are parallel. k || j k || j

7 Skew Lines Lines that do not lie on the same plane. (They do not intersect and are not parallel.)

8 Plane Undefined Term No thickness Extends indefinitely in all directions Plane ABC Plane W W

9 Parallel Planes Planes not intersect. Planes R and S are parallel. R S

10 Collinear Points that are on the same line Collinear Points that are on the same line. A B C Points A,B and C are collinear.

11 Non-collinear Points that are not on the same line Non-collinear Points that are not on the same line. A B C Points A,B and C are non - collinear.

12 Coplanar Points Points that lie on the same plane. Points P,Q, and R are coplanar. P Q R S

13 Non-Coplanar Points Points that do not lie on the same plane. Points P,Q,R and S are non-coplanar. P Q R S

14 Coplanar Lines Lines that lie on the same plane. Lines x, y are coplanar. x y

15 Postulates Statements that are accepted as true.

16 Theorems Statements that are proven to be true.

17 Postulate If two lines intersect, their intersection is a point. n m Lines m and n intersect at P. P

18 Postulate For any two points, there is exactly one line through the points. A B l Line l is the only line through A and B

19 Postulate For any three noncollinear points, there is exactly one plane through the points. A B C Q Points A, B, and C lie in Plane Q.

20 Postulate If two lines intersect, then they are coplanar. m n Lines m and n lie in only one plane.

21 Postulate If two planes intersect, their intersection is a line. Planes W and Z intersect in line k. W Z k

22 Postulate Every plane contains at least three noncollinear points. Plane A contains points X, Y and Z. A X Y Z

23 Postulate Every line contains at least two points. A B p Line p contains points A and B.

24 Postulate There is exactly one plane containing a given line and a point not on the line. Only one plane contains T and CD.  T T C D  

25 Postulate If a line and a plane intersect, their intersection is a point or a line. I t X w Y Line t intersects Plane x at I. Line w intersects Plane Y at line w.

26 Card 7 If two points lie in a plane, then the line containing them lies in the plane. If R and S lie in plane B, then RS lies in plane B. B R SS 

27 Intersecting Planes Planes that share a line. Planes W and Z intersect. Line k is the line of intersection. W Z k

28 Card 6 Space contains at least four noncoplanar points.     Points A, B, C, and D are noncoplanar. A BD C

29 Source http://www.hbschool.com/glossary/ math/glossary8.html


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