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EXAMPLE 1

b. a. a. Postulate 7 : If two lines intersect, then their intersection is exactly one point. b. Postulate 11 : If two planes intersect, then their intersection is a line. EXAMPLE 1. Identify a postulate illustrated by a diagram. State the postulate illustrated by the diagram. SOLUTION.

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EXAMPLE 1

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  1. b. a. a. Postulate 7: If two lines intersect, then their intersection is exactly one point. b. Postulate 11: If two planes intersect, then their intersection is a line. EXAMPLE 1 Identify a postulate illustrated by a diagram State the postulate illustrated by the diagram. SOLUTION

  2. Use the diagram to write examples of Postulates 9 and 10. EXAMPLE 2 Identify postulates from a diagram Postulate 9: Plane Pcontains at least three noncollinear points, A, B, and C. Postulate 10: Point Aand point Blie in plane P, so line ncontaining Aand Balso lies in plane P.

  3. 1. Use the diagram in Example 2. Which postulate allows you to say that the intersection of plane Pand plane Qis a line? ANSWER Postulate 11: for Example 1 and 2 GUIDED PRACTICE

  4. 2. Use the diagram in Example 2 to write examples of Postulates 5, 6, and 7. ANSWER Postulate 5 : Linenpasses through pointsAandB LinencontainsAandB Postulate 6 : Postulate 7 : Linemand n intersect at pointA for Example 1 and 2 GUIDED PRACTICE

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