Section 1-2, Part 2

1. Section 1-2, Part 2 Points, Lines and Planes

2. OBJECTIVE To understand the basic postulates of Geometry

3. POSTULATE/AXIOM A postulate is an accepted statement of fact. A postulate cannot be proven, but it cannot be disproven.

5. INTERSECTION Point E is the intersection. The set of points two or more geometric figures have in common

7. A C B D

9. CLASSWORK Name the intersection of each pair of planes or lines. RQ and RO Planes ADR and DCQ Planes BCD and BCQ OP and QP Name the two planes that intersect in RO

10. CLASSWORK y x Graph the points and state whether they are collinear. (0,0);(4,2);(6,3) (-2,0);(0,4);(2,0)

11. CLASSWORK Postulate 1-4 states that any three noncollinear points lie in one plane. Find the plane that contains the first three points listed. Then determine whether the fourth point is in that plane. P, T, R, N T, R, N, U

12. SUMMARY Point minimums: 1. Through any two points there is exactly one line. 2. Through any three noncollinear points there is exactly one plane. Intersections: 3. Two distinct lines intersect in a point. 4. Two distinct planes intersect in a line.

13. EXIT PROBLEMS