Download Relationships Between Lines (3.1, 3.2)

Geometry B
Chapter 3 Guided Notes
Name___________________________
Day One: Relationships Between Lines (3.1, 3.2)
Types of Lines:
•
Parallel Lines: _________________________________________________________________
o
Notation: __________
•
Skew Lines: ___________________________________________________________________
•
Perpendicular Lines: ___________________________________________________________
o
•
Notation: __________
Transversal: ___________________________________________________________________
Angles Formed by Transversals:
1. Corresponding Angles: _________________________________________________________
o
Example: _____________________________________
2. Alternate Exterior Angles: ______________________________________________________
o
Example: _____________________________________
3. Alternate Interior Angles: _______________________________________________________
o
Example: _____________________________________
4. Consecutive Interior Angles: ____________________________________________________
o
Example: _____________________________________
Day Two: Parallel Lines & Their Angles (3.3)
If two lines are parallel, then:
1. Corresponding Angles _________________________________
2. Alternate Exterior Angles _______________________________
3. Alternate Interior Angles ________________________________
4. Consecutive Interior Angles _____________________________
Examples:
A. If <1 = 110°, then <8 = _______ Type of angles __________________
B. If <4 = 125°, then <6 = _______ Type of angles __________________
C. If <6 = 70°, then <2 = _______ Type of angles __________________
D. If <5 = 140°, then <8 = _______ Type of angles __________________
E. If <3 = 60°, then <6 = _______ Type of angles __________________
Day Three: More with Parallel Lines (3.4, 3.5)
How can we tell if two lines are parallel?
Example A
1. Is line l parallel to line m?
2. Is line n parallel to line o?
Example B
1.
2.
Day Four: Equations of Parallel Lines (3.6)
Slope =
Slope-Intercept Form:
Point-Slope Form:
PARALLEL LINES HAVE ________________________________!!
Finding Equations of Parallel Lines:
Use the __________ of the original line and ________________________ to write an equation.
!
Example: Write the equation for the line that is parallel to the line 𝑦 = − 𝑥 − 1 and passes
!
through the point (3, 2).
Day Five: Equations of Perpendicular Lines (3.7)
Warm Up: Find the reciprocals of the numbers below.
A.
!
C. −
B. 4
!
!
!
D. –2
Reciprocals: _________________________________________________________________________
PERPENDICULAR LINES HAVE _____________________________________________!!
Example: Identify the slope of each line. Write the opposite sign reciprocal of that slope.
!
1. 𝑦 = 𝑥 − 1
!
!
2. 𝑦 = − 𝑥 + 4
!
3. 𝑦 = −3𝑥 − 5
Finding Equations of Perpendicular Lines:
Use the __________________________________ of the original line and
________________________ to write an equation.
!
Example 1: Write the equation for the line that is perpendicular to the line 𝑦 = − 𝑥 − 1 and
!
passes through the point (3, 2).
Example 2: Write the equation for the line that is perpendicular to the line 𝑦 = 2𝑥 + 4 and
passes through the point (4, –3).