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Geometry

Learn about the basic defined and undefined terms of geometry, sketch relationships, and complete problem practice assignments. Take notes and use them to help on other things.

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Geometry

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  1. Geometry Advise from former students: “Take notes and actually use them to help on other things” Today: • 1.1 Instruction • Vocab Intro • Problem Practice

  2. Assignment Yesterday: • Policy Signature • Student Info Sheet • Website Word • Get Supplies Advise from former students: “Take notes and actually use them to help on other things”

  3. 1.1 Points, Lines, and Planes

  4. 1.1 Points, Lines, and Planes

  5. 1.1 Points, Lines, and Planes Objective: • Understand and use the basic defined and undefined terms of Geometry. • Sketch relationships in Geometry. Vocabulary: Undefined term, point, line, plane, collinear, coplanar,

  6. 1.1 Points, Lines, and Planes Make a chart in your notes that takes up about a whole page. It should have seven rows. The boxes should be big enough to write a sentence or draw a picture in.

  7. 1.1 Points, Lines, and Planes First row: Point Line Plane - a location - made up of points - flat surface - extends forever Real Life Ex: Definition - extends forever Real Life Ex: Real Life Ex:

  8. 1.1 Points, Lines, and Planes Second Row: Point Line Plane - a location - made up of points - flat surface - extends forever Real Life Ex: Definition - extends forever Real Life Ex: Real Life Ex: a line with arrows at each end a slanted four sided figure Drawn as a dot

  9. 1.1 Points, Lines, and Planes Third Row: Point Line Plane a line with arrows at each end a slanted four sided figure Drawn as a dot M B X •P A Picture W l Y Z

  10. 1.1 Points, Lines, and Planes Fourth and Fifth Rows: Point Line Plane M B X •P A Picture W l Y Z The letters of two points on the line with a line over them ORa lower case cursive The letters of three points on the plane not all on the same line ORa capital cursive a capital letter Named by line plane WXY Written as point P plane WYZ line line l plane M

  11. 1.1 Points, Lines, and Planes Sixth and Seventh Rows: Point Line Plane there is exactly one plane through any three points there is exactly one line through any two points has neither shape nor size Facts Points on the same plane: coplanar Points of the same line: collinear Known as an undefined term. Vocab

  12. A.line X B.line c C.line Z D. Example 1a EXAMPLE 1 A. Use the figure to name a line containing the point X.

  13. EXAMPLE 1 B. Use the figure to name a plane containing point Z. A.plane XY B.plane c C.plane XQY D.plane P

  14. Example 2b Real World EXAMPLE 2 B. Name the geometric shape modeled by the ceiling of your classroom. A. point B. line segment C. plane D. none of the above

  15. A. B.C.D. Example 3a EXAMPLE 3 A. Choose the best diagram for the given relationship. Plane D contains line a, line m, and line t, with all three lines intersecting at point Z. Also, point F is on plane D and is not collinear with any of the three given lines.

  16. Example 4a EXAMPLE 4 A. How many planes appear in this figure? A. one B. two C. three D. four

  17. Example 4b EXAMPLE 4 B. Name three points that are collinear. A.B, O, and X B.X, O, and N C.R, O, and B D.A, X, and Z

  18. Example 4d EXAMPLE 4 A. point X B. point N C. point R D. point A

  19. P ● ● L N ● M ● ● O Naming Collinear and Coplanar Points: • Name three points that are collinear. • L, N, O or M, N, P • Name a point that are not coplanar. • P • Name a line not contained by plane LMO. • Line MN, NP or MP

  20. Assignment Due tomorrow: • 1.1 p 11 #53-54, 62-66 and p 13 #1-4 • Signature and Class Info • Get supplies – check on Monday Education's purpose is to replace an empty mind with an open one. Malcolm Forbes

  21. Supply Check Supply Check MONDAY! NO EXCUSES! Notebook and folder or binder and paper protractor ruler compass 7

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