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Splash Screen. Students will be able to Identify and analyze statements using basic postulates about points, lines, and planes. Write paragraph proofs. Then/Now. Postulate (axiom)-. Concept. Concept. Identifying Postulates.

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Splash Screen

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  1. Splash Screen

  2. Students will be able to • Identify and analyze statements using basic postulates about points, lines, and planes. • Write paragraph proofs. Then/Now

  3. Postulate (axiom)-

  4. Concept

  5. Concept

  6. Identifying Postulates ARCHITECTUREExplain how the picture illustrates that the statement is true. Then state the postulate that can be used to show the statement is true. A. Points F and G lie in plane Q and on line m. Line m lies entirely in plane Q. Example 1

  7. Identifying Postulates ARCHITECTUREExplain how the picture illustrates that the statement is true. Then state the postulate that can be used to show the statement is true. B. Points A and C determine a line. Example 1

  8. ARCHITECTURERefer to the picture. State the postulate that can be used to show the statement is true.A. Plane P contains points E, B, and G. A. Through any two points there is exactly one line. B. A line contains at least two points. C. A plane contains at least three noncollinear points. D. A plane contains at least two noncollinear points. Example 1

  9. ARCHITECTURERefer to the picture. State the postulate that can be used to show the statement is true.B. Line AB and line BC intersect at point B. A. Through any two points there is exactly one line. B. A line contains at least two points. C. If two lines intersect, then their intersection is exactly one point. D. If two planes intersect, then their intersection is a line. Example 1

  10. A. Determine whether the following statement is always, sometimes, or never true. Explain. If plane T contains contains point G, then plane T contains point G. Analyze Statements Using Postulates Example 2

  11. B. Determine whether the following statement is always, sometimes, or never true. Explain. contains three noncollinear points. Analyze Statements Using Postulates Example 2

  12. A. Determine whether the statement is always, sometimes, or never true. Plane A and plane B intersect in exactly one point. A. always B. sometimes C. never Example 2

  13. B. Determine whether the statement is always, sometimes, or never true. Point N lies in plane X and point R lies in plane Z.You can draw only one line that contains both points N and R. A. always B. sometimes C. never Example 2

  14. Proof- • Theorem-

  15. Concept

  16. Paragraph proof- • Informal proofs-

  17. Given: Write a Paragraph Proof Prove: ACD is a plane. Example 3

  18. Given RT TY, S is the midpoint of RT, and X is the midpoint of TY , write a paragraph proof to show that ST TX . Example 3

  19. Concept

  20. End of the Lesson

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