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Warm-ups w P. 869 1-5 no calculators w These problems are due in 3 min.

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Presentation on theme: "Warm-ups w P. 869 1-5 no calculators w These problems are due in 3 min."— Presentation transcript:

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2 Warm-ups w P. 869 1-5 no calculators w These problems are due in 3 min.

3 Date Sec 1-1 Concept: Identify Points, Lines and Planes Objectives: Given basic concepts in Geometry, name and sketch geometric figures

4 3-Undefined Terms in Geometry w Point w Line w Plane

5 Undefined. It has no dimension. It is usually represented by a small dot Point A Label with Capital Letters

6 Line Undefined Extends in one dimension. Usually represented by a straight line with arrows on the ends. A B l Labels: AB BA l

7 Plane: undefinedExtends in two dimensions. Usually represented by a shape that looks like a table top. A B C M Plane M or plane ABC

8 Key Terms – you probably already know some of these… w Coplanar and Noncoplanar w Collinear and Noncollinear w Ray w Segment w Opposite ray w Intersect

9 Collinear: points that lie on the same line PIGS Points P, I, G, and S are collinear

10 Non-Collinear: Points that do not lie on the same line D O G Points D, O and G are noncollinear

11 Coplanar: Points that lie in the same plane Points M, A, T, H, S are coplanar H T S G M A

12 Non -Coplanar: Points that do not lie in the same plane Points G, S and H are non- coplanar A H T S G M

13 Line Segment: Part of a line that consists of 2 endpoints AB or BA A B

14 Ray: Part of a line that consists of a point called the initial point and all points on the line that extend in one direction. A B A is the initial point AB

15 Opposite Rays: If C is between A and B, then CA and CB are opposite rays A C B

16 Intersect: To have one or more points in common Intersection: The set of points that two or more geometric figures have in common

17 C L P N M O 1. Name 3 coplanar points 2. Name 3 collinear points 3. Name 3 non-collinear points 4. Name a line segment in two different ways 5. Name a ray Example 1:

18 C L P N M O 6. Name a line in 2 ways 7. Name a point 8. Name the plane in two ways 9. What is the intersection of LO and plane C Example 1: Cont.

19 Example 2: Sketch the figure described A. A line and a plane that do not intersect

20 B. 2 planes that do not intersect and a line that intersects each plane in 1 point

21 Example 3: Determine if the point lies on the line A. Y = x-4 A(5,1) 1 = 5-4 1=1 YES, it lies on the line B. Y = 2x + 3 A(7, 16) 16 = 2(7) + 3 16 17 NO, It doesnt lie on the line

22 Example 4: Graph the inequality on the number line. Tell whether the graph is a segment, a ray or rays, a point or a line X>2 or x<5 025 Line

23 Example 5: What kind of Geometric Intersection does the photograph suggest? The intersection of 2 lines The intersection of a line and a plane

24 Todays Work: In Class: Homework:


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