Intro to Logic NOTES
*Objectives: To define conditionals and model them with Euler
diagrams; to identify and write the converse, inverse, contrapositive,
and biconditional of conditional statements. SOL G.1
*Conditional Statement: A statement that can be
Venn Diagrams NOTES
*Objectives: To define conditionals and model them with Euler (Venn)
diagrams.
*Venn Diagram: A diagram that shows relationships among sets of
objects.
- the set
- the subsets
*There are 3 common types of Venn Diagrams:
BHS Students
Ge
Unit 5: Transformations
Objective: I will identify and draw the three basic
transformations: translation, rotation, and reflection.
Transformation- movement of a figure from its original
position (preimage) to a new position (image)
3 types of Transformat
Unit 5: Symmetry
Notes
*Objective: I will identify, use, and solve problems involving line
symmetry and point symmetry.
*An object has reflection or line symmetry if it can be divided into 2
congruent parts (with each part the mirror image of the other).
Symbolic Form Notes
*Objective: To translate a short verbal argument into symbolic form.
SOL G.1
*When translating a sentence from English into symbolic form, there
are certain commonly used symbols that you will find helpful. Here
they are in a chart for
Unit 1: Special Angle Pairs Notes
Congruent Angles
Definition: Angles that have the same measure
Symbol:
Examples:
B
A
42
42
C
<A
<B
D
<C
<D
Complementary Angles
Definition: Angles whose measures have a sum of 90
(Add up to 90)
Examples:
E
30
60
F
< F & <
Parallel Lines Notes
Parallel Lines: Lines that never intersect
Examples:
a
b
c
d
*Transversal: A line, ray, or segment that intersects 2 or more
coplanar lines, rays, or segments, each at a different point.
Examples:
e
f
g
Line g is the transversal.
e /
Unit 2: Logic
Law of Detachment and Law of Syllogism
Study the following groups of sentences. Find the pattern.
*new symbolTherefore
If it is raining, then the sidewalk is wet.
It is raining.
Therefore, the sidewalk is wet.
p
P
If you study, then you will
Classifying Angles Notes
Objectives: To review naming angles; To classify angles by their
measure.
*REMEMBER: We can name an angle in several ways:
By the vertex
3 capital letters
A number
Example:
A
B
2
B
ABC or CBA
2
C
Angles are measured in degrees
Chapter 1- Section1: Building Blocks of Geometry
The most basic figures of geometry are points, lines, and planes. They are the building
blocks for other geometric figures.
Points: Points are often represented as dots. Points are named by capital letters.
Angle Equations
Complementary Angles- 2 angles that add up to 90
degrees
Angle 1
+
Angle 2
= 90
Supplementary Angles- 2 angles that add up to 180
degrees (or Linear)
Angle 1
+
Angle 2
= 180
Vertical Angles- 2 angles that are across from
each other; Vertic
Angle Addition Postulate Notes
Objective: To identify and use the angle addition postulate.
Angle Addition Postulate- If point S is in the interior of <PQR, then
the m PQS + m< SQR = m< PQR.
P
S
92
33
Q
R
m<PQR= 92+33
= 125
In other words, we can take 2 s