Download U1A7 – Parallel Lines and Angle Relationships

Welcome Geometry!
Please do the following:
1)  Take out U1H14.
U1H15: CHANGE Pg. 87 #1-12 (0/2/6 due Monday)
Updates: U1T will be 9/30 (next Friday) Agenda
①  Warm-Up!
②  Review U1H14
③  U1A7
④  Around the World
⑤  Cool-Down
Warm-Up!
Pg.70 Complete #5 in your notebook under Congruent
Supplements Theorem. Review U1H14
SettingupyourNotebook
IwillleaveonepageblankformySBnotes.Pleasetearout
pages73-86andpage87(Hw).
Today’sLesson#:U1A7
Topic:ParallelLinesandAngleRelationships
LO#11:Makepredictionsaboutanglesformedbyapairof
parallellinesandatransversalandprovetheoremsabout
theseangles.
U1A7–ParallelLinesandAngleRelationships
Pg.73 ReadtheDirsttwoparagraphstoyourselfand
highlight(yellow)themostimportantpiecesof
information.
U1A7–ParallelLinesandAngleRelationships
Parallel Lines o  Lines that never intersect or cross. o  Symbol for parallel lines is ||
o  A solid arrow placed on two lines of a diagram indicates
that the lines are parallel.
1 2
3 4
5 6
7 8
U1A7–ParallelLinesandAngleRelationships
Pg.73 Labelthetwoparallellineswitharrowsonthe
diagram.
U1A7–ParallelLinesandAngleRelationships
Pg.74 Answer#1inyourgroupsusingaprotractor.
U1A7–ParallelLinesandAngleRelationships
Pg.74 Labelandhighlightthetransversalinthe
diagramonpage73.
U1A7–ParallelLinesandAngleRelationships
Transversal
o  A line that intersects two or more lines in the same
plane at different points.
1 2
3 4
5 6
7 8
Today we are studying the different angles formed by the
transversal and the parallel lines. U1A7–ParallelLinesandAngleRelationships
Label the top of the front of your foldables the following:
Corresponding Angles
Alternate Interior Angles
Alternate Exterior Angles
Same-Side Interior Angles
On the top portion we will put diagrams and on the bottom
portion we will put words. Questions? In the box to the far left, label the outside Deginition. U1A7–ParallelLinesandAngleRelationships
Corresponding Angles
o  Angles in the same position.
o  Lie on the same side of the transversal t and on the same
side as r and s. o  ∠1 and ∠5
Ø  What are the other corresponding angles in the
diagram? U1A7–ParallelLinesandAngleRelationships
Alternate Interior Angles
o  Non-adjacent angles that lie opposite of the transversal
and lie between r and s.
o  ∠4 and ∠5
Ø  What are the other alternate interior angles in the
diagram? U1A7–ParallelLinesandAngleRelationships
Alternate Exterior Angles
o  Lie on opposite sides of transversal t and lie outside of r
and s.
o  ∠2 and ∠7
Ø  What are the other alternate exterior angles in the
diagram? U1A7–ParallelLinesandAngleRelationships
Same-Side Interior Angles
o  Lie on the same-side as transversal t between lines r and
s.
o  ∠4 and ∠6
Ø  What are the other same-side interior angles in the
diagram? U1A7–ParallelLinesandAngleRelationships
Pg.74 Answer#2inyourgroups.
U1A7–ParallelLinesandAngleRelationships
Pg.74 Answer#3inyourgroups.
U1A7–ParallelLinesandAngleRelationships
Practice#1:Identifythetransversalandclassifyeach
anglepair.
(a)∠1and∠3
(b)∠2and∠6
(c)∠4and∠6
Whiteboards! Identify each angle pair. Whiteboards! Identify each angle pair. Whiteboards! U1A7–ParallelLinesandAngleRelationships
Pg.76 Asaclasswewillanswer#6.
U1A7–ParallelLinesandAngleRelationships
LabelthemiddleboxofyourfoldablesTheoremexceptfor
CorrespondingAngleswhereyouwillwritePostulate.
U1A7–ParallelLinesandAngleRelationships
CorrespondingAnglesPostulate
o  Iftwoparallellinesarecutbyatransversal,thenthe
correspondinganglesarecongruent.
AlternateInteriorAngleTheorem
o  Iftwoparallellinesarecutbyatransversal,thenthe
alternateinterioranglesarecongruent.
U1A7–ParallelLinesandAngleRelationships
AlternateExteriorAngleTheorem
o  Iftwoparallellinesarecutbyatransversal,thenthe
alternateexterioranglesarecongruent.
Same-SideInteriorAngleTheorem
o  Iftwoparallellinesarecutbyatransversal,thenthe
same-sideinterioranglesaresupplementary.
U1A7–ParallelLinesandAngleRelationships
Pg.77 Complete#10-12.
U1A7–ParallelLinesandAngleRelationships
Pg.77 Complete#10-12.
AroundtheWorld
Continue in your notes for Around the World. I have posted around the room 6 questions on pink paper.
You will go the question closest to your desks and copy
down the problem into your notebook. Then you will
answer the question. Once you get a solution you will go
look around at the other pink papers and at the bottom of
one of the papers should be your solution. That is the next
problem you will attempt. If you are successful, you should go to each question and
end up at the question you started at. AroundtheWorld
You may work with others, but if you are standing instead
of talking you will owe me time after class. This is practice time NOT talk time.
This is your chance to ask me or others specigic questions
on what you did wrong such that you can do well on your
quiz Friday J
Cool-Down!
Pg.78 Complete#14independently.