Download GCC Unit 3

Geometry Reflective Portfolio
Unit #3: Unknown Angles
Section #1: Vocabulary (words and/or diagrams)
 Types of angle pairs:
complementary
supplementary
adjacent
vertical
alternate interior
alternate exterior
corresponding
same-side interior
linear pair

auxiliary lines-______________________________________________________

converse of a statement-___________________________________________________
Section #2: Formulas/Equations/Theorems

Slope Formula:

Properties:
Angle addition
Reflexive
Angle subtraction
Symmetric
Transitive

Sum of the measures of angles on a straight line is_______________.

Sum of the measures of adjacent angles around a point is_______________.
Write each theorem: (you have a theorem sheet with a border or look them up on-line)
Vertical Angle Theorem
Linear Pair Theorem
Complements of the Same Angle
Theorem
Supplements of the Same
Angle Theorem
Alternate Interior Angles
Theorem
Corresponding Angles Theorem
Transitivity of Parallelism
Theorem
Perpendicular to Parallels
Theorem
Two Perpendiculars Theorem
Section #3: Key methods and Concepts

What are the three undefined terms in geometry?
1. _________________ 2._________________

3._________________
What are the four methods of proof?
1. ___________________ 2. _________________ 3.__________________ 4._________________

What do you know about the slopes of parallel lines?

What do you know about the slopes of perpendicular lines?
Identifying parallel, perpendicular or neither.
One line passes through the points (–1, –2) and (1, 2); another line passes through the points
(–2, 0) and (0, 4). Show using coordinate geometry that these lines are parallel.
One line passes through the points (–4, 2) and (0, 3); another line passes through the points (–3,
(3, 2). Show using coordinate geometry that these lines are neither parallel nor perpendicular.
Write a Coordinate Proof:
Given: Segment AL with A (0,
–2) and
–4) and L (–1, –7); Segment EX with E (3, 0) and X (–3, 2)
Prove: AL  EX
Formula:
Calculations:
Conclusion:____________________________________________________________________________________
_____________________________________________________________________________________________