inf session 2
DESCRIPTION
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. - PowerPoint PPT PresentationTRANSCRIPT
Draw six segments that pass through every dot in the figure without taking your pencil off the paper.
INF Session 2
Have Your Homework On Your Desk!
Agenda Session 2
• Warm-Up
• Homework ?s
• Finish Notes 1.2
• Notes 1.3 & 1.4
• Practice Work
Tues 8/16 Quiz 1.1 – 1.4
Get textbooks
Thurs 8/18
1.6 & 2.1
Write down textbook name on textbook form.
Geometry Concepts and ApplicationsRED and BLUE
Staple CALCULATOR form on TOP.
Informal Geometry Session 2
Complete 1.2 andbegin 1.3 & 1.4
COPLANAR Pointslie in the same plane
NONCOPLANAR Points
do NOT lie in the same plane
Start 4th period here
• 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
Segment
Name of this segment:
• 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
Ray
Names of this ray:
Start 7th period here
What Do You See?
AD
C
B
Points: A, B, C, D
Line: AD
Ray: DB
Segment: BD
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.
Postulate 1-1
• Two points determine a line.
• There is only one line that contains points P and Q.
P
Q
Example 1
Points, C, A, and R are noncollinear. Name all the different lines that can be drawn. (Only name a line once.)
Postulate 1-2• If two distinct lines
intersect, then their intersection is a point.
• Lines l and m intersect at point T.
lm
T
Example 2
Name the intersection of .AR and CR
Postulate 1-3
• Three noncollinear points determine a unique plane.
• There is only one plane that contains points A, B, and C.
A
B
C
EXAMPLE 3
H
R l
MF
T
A
W
V
g
TRUE or FALSE: There is only one plane that contains all of the points F,
T, & M
TRUE
EXAMPLE 4
A
F
E D
C
B
G
H
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.
EXAMPLE 5
A
F
E D
C
B
G
H
Name the intersection of plane ABH and plane DCG.
CB
Classwork
•Practice Worksheet 1.3
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
• If it is Saturday, then Elise plays soccer.– Hypothesis-– Conclusion-
• If points are collinear, then they lie on the same line.– Hypothesis-– Conclusion-
it is Saturday Elise plays soccer
points are collinear
they lie on the same line
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