Regents Exam Questions G.G.35: Parallel Lines and Transversals 1
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1 In the accompanying figure, what is one pair of alternate interior angles?
1)
2)
3)
4)
1and2
4and5
4and6
6and8
2 In the accompanying diagram, line is parallel to line m, and line t is a transversal.
Which must be a true statement?
1)
2)
3)
4)
Regents Exam Questions G.G.35: Parallel Lines and Transversals 1
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3 In the diagram below,
H, respectively. If
1)
2)
3)
4)
is parallel to
and
. Transversal
intersects
and
, what is the value of x?
at G and
20
40
80
160
4 In the accompanying diagram, parallel lines
at points X and Y, and
. Find
and
.
are intersected by transversal
5 Two parallel roads, Elm Street and Oak Street, are crossed by a third, Walnut Street, as
shown in the accompanying diagram. Find the number of degrees in the acute angle
formed by the intersection of Walnut Street and Elm Street.
Regents Exam Questions G.G.35: Parallel Lines and Transversals 1
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6 In the accompanying diagram,
is a transversal,
. Find the measure, in degrees, of
.
, and
Regents Exam Questions G.G.35: Parallel Lines and Transversals 1
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1 ANS: 2
2 ANS: 4
Since
and
angles,
and
REF: 010320a
are congruent vertical angles, and
are also supplementary.
and
REF: 080613a
3 ANS: 2
REF: spring9815a
4 ANS:
57. Since
and
are congruent vertical angles, and
side interior angles,
and
are also supplementary.
are supplementary same side interior
and
are supplementary same
REF: 060122a
5 ANS:
65. The acute angles are congruent alternate interior angles:
REF: 060226a
6 ANS:
146.
and
are congruent corresponding angles.
Since
and
are supplementary angles,
REF: 010639a
.
.