Unit 2: Parallel lines and Transversals
(day 11)
Objective: SWBAT identify special angle pairs and their properties. (3.1/3.2)
**hw/hw log/storybook: “Parallel Lines/Transversals”/colored pencils
Put Cube in your Block Box in front (make sure you tabbed cube 1 with name, block)
Bucket A: SOL/TEI questions (stapled, make sure in order and name is on it) Regular
Regular Geometry: workbook p. 59 & p.63/Quiz corrections on desk (day 5, 8, 9)
Honors Geometry: worksheet/Quiz corrections on desk (day 5, 8, 9)
**
Warm-Up: Correct Test on separate piece of paper (use notes, prior
quizzes, etc)
Homework (day 11)- check odd answers in text:
p. 144 (11-27odd, 31-35odd)
p. 152 (1-9odd, 13-19odd, 23)
Pearsonsuccess Due Friday
Unit 2 (Divider 2)
Parallel Lines and Transversals
• Lessons 11-16
Compasses
• Please return the compass you borrowed
during the test ASAP
Day 11: On your own paper, copy this slide please
Lines
What angle pairs have NO transversal; draw an example.
Special Angles formed by a transversal:
Special Angle
Location
Example
Relationship
Refer
To
Your
Storybook
For
Examples
**All these special angle pairs, must have a ______________
Storytime: “Parallel Lines/Transversals”
X O
O X
O
X
O X
X + O = 180
Honors Geometry
Honors: worksheet and proof together
Regular Geometry Workbook p. 63 (13 together, 1-2, 7-8, 10-12 and 16)
Regular Geometry Workbook p. 59 (5, 8, 12, 27)
Regular Geometry Wkb p. 63 (2, 8, 11, 12, 16)
m
l
1 8
10 2
t
5
11
7
4
12
6
3 9
1. Identify each pair of angles as Alt. interior, Alt. exterior, Corresponding or Consecutive
interior angles.
a.6and10
b.
9and11
c.1and5
d.
3and8
e.
7and12
f.4and8
2. Identify all pairs of vertical angles.
3. Identify all linear pairs.
Exterior and Interior Angles
Exterior Angles: Angles that are on the “outside”
of the two “clusters”




Interior Angles: Angles that are in the “middle “
of the two “clusters”




Consecutive Interior Angles
Consecutive Interior Angles: (Same-side Interior
Angles)
Are on the same side of the transversal.
On the inside.




Alternate Exterior and Alternate
Interior Angles
Alternate Exterior Angles:
Are on the opposite sides (or they alternate
sides) of the transversal.
Are on the outside.


Alternate Interior Angles:
Are on the opposite sides of the transversal.
Are on the inside.


Corresponding Angles
Corresponding Angles:
Occupy the same place in the different clusters.




Parallel Lines
• Parallel lines are coplanar lines that do not intersect.
• Arrows are used to indicate lines are parallel.
• The symbol used for parallel lines is ||.
A
C
B
D
In the above figure, the arrows show that line AB is parallel to
line CD.
With symbols we denote, AB CD .
Lesson 2-3: Pairs of Lines
22
Transversal
• Definition: A line that intersects two or more lines in a plane
at different points is called a transversal.
Note: Transversals intersects do not always have to be Parallel.
• When a transversal t intersects line n and m, eight angles of
the following types are formed:
t
m
Exterior angles
Interior angles
Consecutive interior angles
Alternative exterior angles
Alternative interior angles
Corresponding angles
n
Lesson 2-4: Angles and Parallel Lines
23
When the transversal intersects two lines, eight angles are
formed, which have special names.
These relation ships exist between two angles, One from each
“cluster”. None of these pairs of angles will exist in the same
cluster.
Skew Lines and Parallel Planes
Definition: Skew lines are lines that are noncoplaner and do not intersect.
Ex: What lines are skew to AE ?
Definition: Parallel planes are
planes that do not intersect.
Ex : Name a set of parallel planes.
Extra
EH