Download Test #2 Review

TEST #2 REVIEW
ANGLE RELATIONSHIPS
 Exterior vs. Interior Diagram
 Consecutive vs. Alternate Diagram
 Angle Pair Relationships- Always name 2 angles
 Alternate Exterior Angles
 Alternate Interior Angles
 Consecutive Interior Angles
 Corresponding Angles
 Vertical Angles
 Linear Pair
IDENTIFY A PAIR OF EACH TYPE OF
ANGLE RELATIONSHIP
 Angle Pair Relationships- Always name 2 angles
 Alternate Exterior Angles
 Alternate Interior Angles
 Consecutive Interior Angles
1 5
 Corresponding Angles
2 6
 Vertical Angles
 Linear Pair
3
7
4 8
TRANSVERSALS CROSSING
PARALLEL LINES
When the two lines are parallel the angle relationships
will either be congruent or supplementary
Congruent Angle Relationships Supplementary Angle
Relationships
Alternate Exterior Angles
Consecutive Interior Angles
Alternate Interior Angles
Corresponding Angles
Vertical Angles (Always
Congruent)
Linear Pair (Always
Supplementary)
SOLVE FOR X IN THE FOLLOWING
SITUATIONS GIVEN THAT THE TWO
LINES ARE PARALLEL

1 5
2 6
3
7
4 8
CREATING PARALLEL LINES
 Types of questions that will be asked
 What does x have to be for the lines to be parallel?
 Do we have enough info to say the lines are parallel?
 Markings that identify congruence
 Same number of tick marks
 Arrows on parallel lines
 To create parallel lines we make sure the angle
relationships are congruent (AEA, AIA, CA, and VA) or
supplementary (CIA, Linear Pairs).
Is there enough information to prove that
lines p and q are parallel? If so, state the
postulate or theorem you would use.
1.
4.
2.
5.
3.
6.
INDUCTIVE VS DEDUCTIVE
REASONING
Inductive-Based on Patterns and
Observations, not 100% sure
Deductive-Based on Facts, 100%
sure
Tell whether the conclusion was
determined by inductive or deductive
reasoning. Explain.
1. The soccer game is going to happen on Monday or
Tuesday. I just found out that it is not scheduled for
Tuesday.
1. Conclusion-The game will happen on Monday
2. 1, 2, 3, 4, …
1. Conclusion- 5, 6, 7
CONDITIONAL STATEMENTS
Writing in If-Then Form
Label Hypothesis (P) and Conclusion (Q)
Converse-If Q, then P
Inverse- If not P, then not Q
Contrapositive- If not Q, then not P
Key-Label your Hypothesis (P) and your
Conclusion (Q)
Write in IF-Then, the Converse, the
Inverse, and the Contrapositive
1. Smurfs are blue.
2. Vertical Angles are congruent.
3. If you puke, then you are sick.
ALGEBRAIC PROOFS
 Create a 2-Column proof
 Solve for x on the statement side
 Explain what properties you used on the Reasons/Justification
Side
 Properties




Addition-Added the same thing to both sides of the equation
Subtraction-Subtracted the same thing from both sides of the equation
Division-Divide the same thing from both sides of the equation
Multiplication- Multiplied the same thing from both sides of the
equation
 Simplify- Combining like terms on one side of the equation.
PROOFS WITH SEGMENTS &
ANGLES
 Create a 2-Column Proof- Statement and Reason
 Use foldables to determine how each statement was
derived.
 The first statement always will have “Given” as it’s
reason.
 Reasons
 Theorems
 Postulates
 Properties
 Definitions
FIND X WHEN ANGLES ARE
SUPPLEMENTARY/CONGRUENT

2
1
4
3