AnswersA. CostelloWCA 5324 Geometry 1st Nine Weeks 26-27Lines Cut by a Transversal

Lines Cut by a Transversal Answers

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1
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Which diagram represents the hypothesis of the converse of corresponding angles theorem?

A
Option
B
Option
C
Option
2
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Lines l, m, and n lie in a plane and are cut by a transversal, t. ∠1 is supplementary to ∠2, and ∠2 is supplementary to ∠3. | Which lines, if any, are parallel? | What justifies your answer?

A
linear pair postulate
B
corresponding angles theorem
C
same side interior angle theorem
D
converse of same side interior angle theorem
3

Complete the two-column proof.♣ = ♦ = ♠ =

A
converse alternate interior angles theorem
B
converse corresponding angles theorem
C
converse alternate exterior angles theorem
4

Lines l, m, and n lie in a plane and are cut by a transversal, t. ∠1 is supplementary to ∠2, and ∠2 is supplementary to ∠3. | Which lines, if any, are parallel? | What justifies your answer?

A
m and n
B
m and l
C
none
D
all three lines
5

Complete the two-column proof.♣ = ♦ = ♠ =

A
angle 1 congruent to angle 2
B
angle 1 congruent to angle 3
C
line p parallel to line q
6

Complete the two-column proof.♣ = ♦ = ♠ =

A
linear pair postulate
B
transitive property
C
vertical angles congruent
7

What is the value of x for which m || n?

A
x = 40
B
x = 5
C
x = 105
D
x = 30

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