INF Session 2

1. INF Session 2 Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Have Your Homework On Your Desk!

2. Agenda Session 2 Tues 8/16Quiz 1.1 – 1.4 Get textbooks • Warm-Up • Homework ?s • Finish Notes 1.2 • Notes 1.3 & 1.4 • Practice Work Thurs 8/18 1.6 & 2.1

3. Write down textbook name on textbook form.Geometry Concepts and ApplicationsREDandBLUEStaple CALCULATOR form on TOP.

4. Informal Geometry Session 2 Complete 1.2 and begin 1.3 & 1.4

5. Start 4th period here COPLANAR Points lie in the same plane NONCOPLANAR Points do NOT lie in the same plane

6. Segment • Has a beginning and an end • Name a line segment by using the endpoints only • You will always use two letters to name a segment • Symbol or Name of this segment: M A T H

7. Start 7th period here Ray • Has a beginning but no end • Starting pt. of a ray is called the endpoint • Name a ray by using the endpt. 1st and another point on the ray • You will always use two letters to name a ray • Symbol or Names of this ray: L M N

8. Ray: DB Line: AD Segment: BD What Do You See? B D A C Points: A, B, C, D

9. Worksheet1.2 • Work quietly with a neighbor • We will go over these

10. 1.3 Postulates

11. 1.3 Postulates • Postulates are facts about geometry that are accepted as true.

12. Two points determine a line. There is only one line that contains points P and Q. P Q Postulate 1-1

13. Points, C, A, and R are noncollinear. Name all the different lines that can be drawn. (Only name a line once.) Example 1

14. If two distinct lines intersect, then their intersection is a point. Lines l and m intersect at point T. l m T Postulate 1-2

15. Name the intersection of . Example 2

16. Three noncollinear points determine a unique plane. There is only one plane that contains points A, B, and C. Postulate 1-3 A B C

17. R l g A H T W M F V EXAMPLE 3 TRUE TRUE or FALSE: There is only one plane that contains all of the points F, T, & M

18. E D H C F G B A EXAMPLE 4 Name all of the planes that are represented in the prism.

19. Postulate 1-4 • If two distinct planes intersect, then their intersection is a line.

20. E D H C F G B A CB EXAMPLE 5 Name the intersection of plane ABH and plane DCG.

21. Classwork • Practice Worksheet 1.3

22. 1-4 Conditional Statements and Their Converses

23. Conditional Statements • Called if-then statements. • Hypothesis- The part following if. • Conclusion- The part following then. * Do not include if and then in the hypothesis and conclusion.

24. Hypothesis and Conclusion • If you are not satisfied for any reason, then return everything within 14 days for a full refund.

25. Try These • it is Saturday • Elise plays soccer • points are collinear • they lie on the same line • If it is Saturday, then Elise plays soccer. • Hypothesis- • Conclusion- • If points are collinear, then they lie on the same line. • Hypothesis- • Conclusion-

26. Converse • The converse of a conditional statement if formed by exchanging the hypothesis and the conclusion in the conditional. • Conditional- If a figure is a triangle, then it has three angles. • Converse- If a figure has three angles, then it is a triangle.

27. * The converse does not have to be true. • Conditional- If a figure is a square, then it has four sides. • Converse- If a figure has four sides, then it is a square. * Not all four sided figures are squares. Rectangles also have four sides.

28. Rewrite the statement as a conditional statement, then find the converse. • All members of Congress are U.S. citizens. • Conditional- • Converse- If you are a member of Congress, then you are a U.S. citizen. If you are a U.S. citizen, then you are a member of Congress.

29. Classwork • Practice Worksheet 1.4 • HW finish 1.3 & 1.4 ws • QUIZ NEXT CLASS!! • 1.1 – 1.4