Name _________________________________________
8/28 – 9/7
Period ____
GEOMETRY UNIT 1 - LOGIC AND SEGMENTS
Vocabulary Terms:
Plane
Point
Ray
Line
Segment
Endpoint
Opposite rays
Postulates
Collinear
Coplanar
Noncollinear
Noncoplanar
8/26
Opening Day
9/2
Intersection
Inductive reasoning
Conjecture
Analyze
Given information
Patty paper
Midpoint
Congruence
Bisector
Tick Mark
Prove
Postulate
8/27
Naming Basic Geometric
Structures
9/3
Holiday
9/9
Segments
Notation
Compass
Straight Edge
Distance
Length
Construction
Intersection
Conditional
Hypothesis
Conclusion
Inverse
Converse
8/28-29
Relationships of points,
lines, and planes
9/4-5
Inductive
reasoning/Deductive
Reasoning
Contrapositive
Truth Value
Biconditional
Counterexample
Negation
Logically equivalent
p→ q
Deductive Reasoning
Law of Syllogism
Valid deductive
argument (conclusion)
8/30
QUIZ
9/6
Conditionals
9/10
Review
Test
Tuesday, 8/27
Chapter 1 Section 1: Understanding Points, Lines, and Planes
I can recognize and use the markings used in geometry.
I know the differences between Euclidean and Non-Euclidean Geometry
ASSIGNMENT: Pg. 9 (#1 – 10, 28, 30, 33-34, 36, 43) 16 problems
Completed:
Wednesday-Thursday, 8/28-29
Chapter 1 Section 1: Understanding Points, Lines, and Planes
I can use geometric patterns to make valid conjectures.
I know the relationships between points, lines, and planes.
ASSIGNMENT: Pg. 9 (#11, 12, 20, 21, 25-27, 29, 31-32, 38 – 42, 46) 16 problems
And “Geometric Structures Model”
Completed:
Friday, 8/30
Chapter 1 Section 1: Understanding Points, Lines, and Planes
I can recognize and use the markings used in geometry.
I know the differences between Euclidean and Non-Euclidean Geometry
I can use geometric patterns to make valid conjectures.
I know the relationships between points, lines, and planes.
ASSIGNMENT: Quiz
Completed:
Tuesday, 9/3
Chapter 1 Section 2: Measuring and Constructing Segments
I can solve problems using Segment Addition Postulate, midpoints, or bisectors.
I can recognize the markings used in geometric constructions.
I can recognize the markings used in geometric symbolism.
ASSIGNMENT: Pg. 17 #1-10, 19, 24-27, 36-39, 44 (20 problems)
Completed:
Wednesday-Thursday, 9/4-5
Chapter 2 Section 1: Using Inductive Reasoning to Make Conjectures Chapter 2 Section 3: Using
Deductive Reasoning to Verify Conjectures
I can use geometric patterns and inductive reasoning to formulate a rule or make generalizations.
I can make valid conjectures given information in various forms.
I can provide and recognize a valid deductive argument.
I can make valid conjectures given information in various forms.
ASSIGNMENT: Pg. 77 – 79 #1, 4, 5, 7, 13, 16, 23, 28, 30, 39 (10 questions) and Supplemental Worksheet (5
questions)
ASSIGNMENT: Pg. 91 #1, 6-10, 12-13, 15-18, 23, 27 (14 questions)
Completed:
Friday, 9/6
Chapter 2 Section 2: Conditional Statements
I can write the converse, inverse, and contrapositive.
I can determine the validity of a conditional, converse, inverse, or contrapositive and provide a counterexample
when it is false.
I can tell when statements are logically equivalent.
ASSIGNMENT: Pg. 84 #1-4, 9-12, 16-19, 22, 38, 41, 53 (16 questions)
Completed:
Monday, 9/9
Review Day
Completed:
ASSIGNMENT: Review for Test IN CLASS
ASSIGNMENT: Review for Test AT HOME
Completed:
Tuesday, 9/10
Test Day
Unit 1 Test: Logic and Segments
Grade:
If you miss the review day, you are still expected to take the test on the test
day.
For more help BEFORE the test:
1. Use the indicated chapters in your book
2. Use the book online (it has videos and a homework help section)
3. Use Moodle to find more resources
4. Come to tutoring (with assignment)
GEOMETRY UNIT 1 - LOGIC AND ANGLES
Day 1 - Chapter 1 Section 1: Understanding Points, Lines, and Planes
Objectives:
 I can recognize and use the markings used in geometry.
 I know the differences between Euclidean and Non-Euclidean Geometry
Term
Plane
Definition
has two dimensions. It is
represented by a shape that
looks like a floor or wall, but
it extends without end.
Point
has no dimension. It is
represented by a dot.
Ray
AB consists of the endpoint
A and all points on AB that
lie on the same
side of A as B.
Line
has one dimension. It is
represented by a line with
two arrowheads, but it
extends without end.
Endpoint
is a point at the end of a
segment or beginning of a
ray.
Opposite Rays
have a common endpoint
and form a line.
Collinear
are points that lie on the
same line.
Coplanar
are points that lie in the
same plane.
Noncollinear
Two or more geometric
figures intersect if they have
one or more points in
common. The intersection of
the figures is the set of
points the figures have in
common.
Noncoplanar
Two figures that are not in
Picture
the same plane
Practice: Pg. 9 (#1 – 10, 28, 30, 33-34, 36, 43) 16 problems
Notation
MORE POINTS, LINES, & PLANES
Important facts about points, lines, and planes.
 Two points determine a _______________.
 Three NON-COLLINEAR points determine a ________________.
 Four NON-COPLANAR points determine _____________.
 The intersection of two lines is a ________________.
 The intersection of a line and a plane is a _______________.
 The intersection of two planes is a _________________.
 If two points are in a plane, then the line that contains them is _________________________.
S
EXAMPLE 2
T
U
L
Q
N
R
M
O
a) Are points S, O, Q, and M coplanar?
Why or why not?
b) Name the intersection of planes LON and NQM:
Explain:
c) Name the intersection of plane LNO and MN.
Explain:
d) Do S and M determine a line? Why or why not?
e) Name the intersection of UO and MN.
Explain:
X
EXAMPLE 3
J
U
V
K
W
Y
Z
a) Name three points that determine plane J.
Points:
b) Name a set of collinear points, and a set of non-collinear points.
Collinear:
Noncollinear:
c) Name a set of points, other than those in a) that are coplanar.
Points:
Plane Activity
Lesson: Points, Lines, & Planes
1. Are points R, H, and F coplanar to plane N?
Explain.
___________________
2. Are points A, B, and D in plane M?
Explain.
___________________
3. Are points A, B, and D in plane N?
Explain.
___________________
4. Are points F, A, R, and T coplanar?
Explain.
___________________
5. Are points F, S, and G coplanar to plane N?
Explain.
___________________
6. Are points F, S, and G coplanar to plane M?
Explain.
___________________
7. Are points F, S, and G coplanar?
Explain.
___________________
8. Are points C, S, and E coplanar?
Explain.
___________________
9. Name 3 points that are coplanar, but not
coplanar to plane M or plane N?
Explain.
___________________
10. Name 4 points coplanar to M.
Explain.
___________________
11. Write 2 questions of yur own using this intersection of planes M and N.
____________________________________________________________________________________________________
____________________________________________________________________________________________________
____________________________________________________________________________________________________
____________________________________________________________________________________________________
Vocabulary- Segment Addition & Bisectors
1) Segment- (line segment) part of a line consisting of two endpoints and all points
between them
2) Distance- absolute value of the difference of the points (coordinates). It can also be
called length. (Think of number line)
3) Congruence- same length or measure
4) Midpoint- point that bisects, or divides, the segment into two congruent segments.
5) Perpendicular Bisector- a line perpendicular to a segment at the segment’s
midpoint.
Segment Addition
If B is between A and C, then AB + BC = AC.
Example:
If AB = 5, BC = 10, find AC.
Solution
HINT: Draw a picture & label.