Chords 1 - CC Geometry 2015

Regents Exam Questions G.G.52: Chords 1
Name: ________________________
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G.G.52: Chords 1: Investigate, justify, and apply theorems about arcs of a circle cut by two
parallel lines
1 In the diagram of circle O below, chords
and
are parallel, and
is a diameter of the circle.
If
1)
2)
3)
4)
, what is
?
If
1)
2)
3)
4)
20
30
60
120
is
2 In the diagram of circle O below, chord
and
.
parallel to diameter
What is
1) 150
2) 120
3) 100
4) 60
is
3 In the diagram below of circle O, diameter
parallel to chord
.
, what is
?
110
70
55
35
4 In the diagram of circle O below, chord
and
parallel to diameter
?
What is
1) 35
2) 55
3) 70
4) 110
1
?
is
.
Regents Exam Questions G.G.52: Chords 1
Name: ________________________
www.jmap.org
7 In the diagram below of circle O,
, and
5 In circle O shown in the diagram below, chords
and
are parallel.
If
1)
2)
3)
4)
and
, what is
Which statement must be true?
1)
?
2)
38
44
88
96
6 In the diagram below of circle O,
.
parallel to
.
3)
4)
8 In the diagram below of circle O, chord
is
. Chord
intersects
at E
parallel to chord
at F.
and
is
Which statement must be true?
Which statement must always be true?
1)
1)
2)
3)
2)
4)
4)
3)
2
Regents Exam Questions G.G.52: Chords 1
Name: ________________________
www.jmap.org
9 In the diagram below, trapezoid ABCD, with bases
and
, is inscribed in circle O, with diameter
. If
, find
.
10 In the diagram below, two parallel lines intersect
circle O at points A, B, C, and D, with
and
. Find
.
3
ID: A
G.G.52: Chords 1: Investigate, justify, and apply theorems about arcs of a circle cut by two
parallel lines
Answer Section
1 ANS: 2
.
Parallel chords intercept congruent arcs.
.
REF: 060906ge
2 ANS: 2
Parallel chords intercept congruent arcs.
.
.
REF: 080904ge
3 ANS: 3
REF: 061205ge
4 ANS: 1
.
Parallel chords intercept congruent arcs.
REF: 081302ge
5 ANS: 2
Parallel chords intercept congruent arcs.
REF: 011302ge
6 ANS: 1
Parallel lines intercept congruent arcs.
REF: 061105ge
7 ANS: 1
Parallel lines intercept congruent arcs.
REF: 061001ge
8 ANS: 4
Parallel lines intercept congruent arcs.
REF: 081201ge
9 ANS:
REF: 081129ge
1
.
ID: A
10 ANS:
.
REF: 011229ge
2