This document discusses geometry postulates, which are basic statements accepted as true without proof. It provides four postulates: 1) Two points determine a unique line. 2) If two lines intersect, their intersection is a point. 3) Three noncollinear points determine a unique plane. 4) If two planes intersect, their intersection is a line. The document then provides examples of applying these postulates to identify lines and planes given certain points.

1. Postulates You will learn to identify and use basic postulates about points, lines, and planes. What You'll Learn

2. Postulates Geometry is built on statements called _________. Postulates are statements in geometry that are accepted to be true. postulates

3. Postulates Geometry is built on statements called _________. Postulates are statements in geometry that are accepted to be true. postulates Postulate 1-1: Two points determine a unique ___.

4. Postulates Geometry is built on statements called _________. Postulates are statements in geometry that are accepted to be true. postulates Postulate 1-1: Two points determine a unique ___. There is only one line that contains Points P and Q line Q P

5. Postulates Geometry is built on statements called _________. Postulates are statements in geometry that are accepted to be true. postulates Postulate 1-1: Two points determine a unique ___. There is only one line that contains Points P and Q Postulate 1-2: If two distinct lines intersect, then their intersection is a ____. line Q P

6. Postulates Geometry is built on statements called _________. Postulates are statements in geometry that are accepted to be true. postulates Postulate 1-1: Two points determine a unique ___. There is only one line that contains Points P and Q Postulate 1-2: If two distinct lines intersect, then their intersection is a ____. Lines l and m intersect at point T line point Q P T l m

7. Postulates Geometry is built on statements called _________. Postulates are statements in geometry that are accepted to be true. postulates Postulate 1-1: Two points determine a unique ___. There is only one line that contains Points P and Q Postulate 1-2: If two distinct lines intersect, then their intersection is a ____. Lines l and m intersect at point T Postulate 1-3: Three noncollinear points determine a unique _____. line point Q P T l m

8. Postulates Geometry is built on statements called _________. Postulates are statements in geometry that are accepted to be true. postulates Postulate 1-1: Two points determine a unique ___. There is only one line that contains Points P and Q Postulate 1-2: If two distinct lines intersect, then their intersection is a ____. Lines l and m intersect at point T Postulate 1-3: Three noncollinear points determine a unique _____. There is only one plane that contains points A, B, and C. line point plane Q P T l m A B C

9. Postulates A B C Points A, B, and C are noncollinear. 1) Name all of the different lines that can be drawn through these points. 2) Name the intersection of

10. Postulates A B C Points A, B, and C are noncollinear. 1) Name all of the different lines that can be drawn through these points. 2) Name the intersection of

11. Postulates A B C Points A, B, and C are noncollinear. 1) Name all of the different lines that can be drawn through these points. Point C 2) Name the intersection of

12. Postulates 1) Name all of the planes that are represented in the figure. B A D C

13. Postulates 1) Name all of the planes that are represented in the figure. There is only one plane that contains three noncollinear points. plane ABC (side) plane ACD (side) plane ABD (back side) plane BCD (bottom) B A D C

14. Postulates Postulate 1-4: If two distinct planes intersect, then their intersection is a ___. M N

15. Postulates Postulate 1-4: If two distinct planes intersect, then their intersection is a ___. Plane M and plane N intersect in line DE. line M N D E

16. Postulates Name the intersection of plane CDG and plane BCD. H E F G C B A D

17. Postulates Name the intersection of plane CDG and plane BCD. H E F G C B A D

18. Postulates Name the intersection of plane CDG and plane BCD. H E F G C B A D Name two planes that intersect in .

19. Postulates Name the intersection of plane CDG and plane BCD. planes ADF and CDF H E F G C B A D Name two planes that intersect in .

20. Postulates End of Lesson