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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!. Agenda Session 2 . Tues 8/16 Quiz 1.1 – 1.4 Get textbooks. Warm-Up Homework ?s Finish Notes 1.2 Notes 1.3 & 1.4 Practice Work.
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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!
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
Write down textbook name on textbook form.Geometry Concepts and ApplicationsREDandBLUEStaple CALCULATOR form on TOP.
Informal Geometry Session 2 Complete 1.2 and begin 1.3 & 1.4
Start 4th period here COPLANAR Points lie in the same plane NONCOPLANAR Points do NOT lie in the same plane
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
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
Ray: DB Line: AD Segment: BD What Do You See? B D A C Points: A, B, C, D
Worksheet1.2 • Work quietly with a neighbor • We will go over these
1.3 Postulates • Postulates are facts about geometry that are accepted as true.
Two points determine a line. There is only one line that contains points P and Q. P Q Postulate 1-1
Points, C, A, and R are noncollinear. Name all the different lines that can be drawn. (Only name a line once.) Example 1
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
Name the intersection of . Example 2
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
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
E D H C F G B A EXAMPLE 4 Name all of the planes that are represented in the prism.
Postulate 1-4 • If two distinct planes intersect, then their intersection is a line.
E D H C F G B A CB EXAMPLE 5 Name the intersection of plane ABH and plane DCG.
Classwork • Practice Worksheet 1.3
1-4 Conditional Statements and Their Converses
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.
Hypothesis and Conclusion • If you are not satisfied for any reason, then return everything within 14 days for a full refund.
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-
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.
* 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.
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.
Classwork • Practice Worksheet 1.4 • HW finish 1.3 & 1.4 ws • QUIZ NEXT CLASS!! • 1.1 – 1.4