GB Sec. 2.4 p. 99 – 100, #3 – 24 I. Identifying Postulates. State the postulate illustrated by the diagram. 5. Conditional Statements: Postulate 8 states that through any three noncollinear points there exists exactly one plane. a. Rewrite Postulate 8 in if-then form. b. Write the converse, inverse, and contrapostive of Postulate 8. converse: inverse contrapostive c. Which statements in part (b) are true? USING DIAGRAM: Use the diagram to write an example of each postulate. 6. Postulate 6 7. Postulate 7 8. Postulate 8 9. SKETCHING. Sketch a diagram showing ⃡ intersecting at point T, so ⃡ ⃡ diagram, does have to be congruent to TV ? Explain your reasoning. ⊥ ⃡ . In your 10 TAKS REASONING: Which of the following statements cannot be assumed from the diagram? A. Points A, B, C, and E are coplanar B. Points F, B, and G are coplanar ⃡ C. ⃡ D ⃡ ⊥ intersects plane M at point C. ANALZYING STATEMENTS: Decide whether the statement is true or false. If it is false, give a real-world counterexample. 11. Through any three points, there exists exactly one line. 12. A point can be in more than one plane. 13. Any two planes intersect. USING A DIAGRAM: Use the diagram to determine if the statement is true or false. 14. Planes W and X intersect at ⃡ . 15. Points Q, J and M are collinear. 16. Pints K, L, M, are R are coplanar ⃡ and ⃡ 17. intersect. ⃡ 18. ⊥ plane W 19. ⃡ lies in plane X. 20. PLK is a right angle 21. NKL and JKM are vertical angles. 22. NKJ and KJM are supplementary angles. 23. JKM and KLP are congruent angles.