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)
*Venn Diagram: A diagram that shows relationships among sets of
- the set
- the subsets
*There are 3 common types of Venn Diagrams:
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
*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.
*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
Definition: Angles that have the same measure
Definition: Angles whose measures have a sum of 90
(Add up to 90)
< F & <
Parallel Lines Notes
Parallel Lines: Lines that never intersect
*Transversal: A line, ray, or segment that intersects 2 or more
coplanar lines, rays, or segments, each at a different point.
Line g is the transversal.
Unit 2: Logic
Law of Detachment and Law of Syllogism
Study the following groups of sentences. Find the pattern.
If it is raining, then the sidewalk is wet.
It is raining.
Therefore, the sidewalk is wet.
If you study, then you will
Classifying Angles Notes
Objectives: To review naming angles; To classify angles by their
*REMEMBER: We can name an angle in several ways:
By the vertex
3 capital letters
ABC or CBA
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.
Complementary Angles- 2 angles that add up to 90
Supplementary Angles- 2 angles that add up to 180
degrees (or Linear)
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.
In other words, we can take 2 s