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Lesson 1-3 - PowerPoint PPT Presentation

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Lesson 1-3

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  1. Lesson 1-3 Postulates

  2. Ohio Content Standards:

  3. Ohio Content Standards: • Formally define geometric figures. • Establish the validity of conjectures about geometric objects, their properties and relationships by counter-example, inductive and deductive reasoning, and critiquing arguments made by others. • Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, and inductive and deductive reasoning.

  4. Review:

  5. Review: • Postulate 1-1 :

  6. Review: • Postulate 1-1 : • Two points determine a unique line.

  7. Review: • Postulate 1-2 :

  8. Review: • Postulate 1-2 : • If two distinct lines intersect, then their intersection is a point.

  9. Review: • Postulate 1-3 :

  10. Review: • Postulate 1-3 : • Three noncollinear points determine a unique plane.

  11. As shown below, points K, L, and M are noncollinear. K M L

  12. As shown below, points K, L, and M are noncollinear. • Name all of the different lines that can be drawn through these points. K M L

  13. As shown below, points K, L, and M are noncollinear. • Name all of the different lines that can be drawn through these points. • Name the intersection of KL and KM. K M L

  14. Name all of the planes that are represented in the prism. Name all of the planes that are represented in the prism. A B E F C D G H

  15. Review:

  16. Review: • Postulate 1-4 :

  17. Review: • Postulate 1-4 : • If two distinct planes intersect, then their intersection is a line.

  18. The figure shows the intersection of six planes. G F H E C D B A

  19. The figure shows the intersection of six planes. G F H E C D B A Name the intersection of plane ABC and plane DEF.

  20. Assignment: Pgs. 21 & 22 10-30 evens