Identifying Pairs Of Lines And Angles Worksheet With Answers Page 7
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9If two
lines
are cut by a transversal so the alternate
interior
angles
are congruent, then the lines are parallel.
j // k
Alternate Exterior Angles
Converse
If two lines are
cut
by a transversal so the
alternate
exterior angles are congruent, then the lines are parallel.
j // k
Consecutive Interior Angles
Converse
If
two
lines are cut by a transversal so the consecutive
interior
angles are supplementary, then the lines are
parallel
If ∠ 3 and ∠ 5 are
supplementary,
then j // k.
Transitive
Property of Parallel Lines
If two lines are parallel to the
same
line,
then they are parallel to
each
other.
If
p
// q and q // r, then
p //
r.
EXAMPLE 1 Apply the Corresponding Angles Converse
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ALGEBRA Find the value of x that makes m // n.
Solution
EXAMPLE 2 Solve a real-world problem
(3.3 cont.)
Flags How can you tell whether the sides of the flag of Nepal are parallel?
Solution
EXAMPLE 3 Prove the Alternate Interior Angles Converse
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