4) Evaluation: Answer the following. A. Name the postulate or theorem that justifies lines are parallel. 1) 2) 113 67 3) 4.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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pls answer the following 1-4

Evaluation:
Answer the following.
A. Name the postulate or theorem that justifies lines
are parallel.
1)
2)
3)
4)
Transcribed Image Text:Evaluation: Answer the following. A. Name the postulate or theorem that justifies lines are parallel. 1) 2) 3) 4)
Here are the postulates and theorems that willb
used in this lesson.
Le
E
If 2a Le,
CACP POSTULATE
. m In,
LA
Given two lines
cut by a
transversal, if
corresponding
angles are
1)
congruent, then
the two lines are
Ar
1)
PC
parallel.
AICP POSTULATE
B.
mIf zd f,
Given two lines
a /b
cut by a
d
* mIn.
transversal, if
alternate interior
angles are
congruent, then
the lines are
G
Pm
parallel.
Pr
SSIAS THEOREM
Given two lines
b m
If zd & Le arę
cut by a
transversal, if
same side interior
a
d/c
supplementar
: m1n.
e
If
angles are
supplementary,
then the lines are
parallel.
The three Parallel
Lines Theorem
On a plane, if two
lines are both
a
->
If n 1 and
to a third
pa
line, then they are
parallel
n11, then
C
The Perpendicular
to a Third Line
Theorem
If two coplanar
If it and
lines are
i2 it, then
perpendicular to a
third line, then
they are parallel to
each other.
Transcribed Image Text:Here are the postulates and theorems that willb used in this lesson. Le E If 2a Le, CACP POSTULATE . m In, LA Given two lines cut by a transversal, if corresponding angles are 1) congruent, then the two lines are Ar 1) PC parallel. AICP POSTULATE B. mIf zd f, Given two lines a /b cut by a d * mIn. transversal, if alternate interior angles are congruent, then the lines are G Pm parallel. Pr SSIAS THEOREM Given two lines b m If zd & Le arę cut by a transversal, if same side interior a d/c supplementar : m1n. e If angles are supplementary, then the lines are parallel. The three Parallel Lines Theorem On a plane, if two lines are both a -> If n 1 and to a third pa line, then they are parallel n11, then C The Perpendicular to a Third Line Theorem If two coplanar If it and lines are i2 it, then perpendicular to a third line, then they are parallel to each other.
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