G.G.52: Chords and Secants: Investigate, justify, and apply theorems about... a circle cut by two parallel lines

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Regents Exam Questions G.G.52: Chords and Secants 2
Page 1
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Name: __________________________________
G.G.52: Chords and Secants: Investigate, justify, and apply theorems about arcs of
a circle cut by two parallel lines
1 In the accompanying diagram of circle O, chord
drawn, and
.
What is
1) 90
2) 110
3) 130
4) 150
25
65
130
155
,
is
?
2 In the accompanying diagram, chord
?
1)
2)
3)
4)
is parallel to diameter
is parallel to diameter
. If
, what is
Regents Exam Questions G.G.52: Chords and Secants 2
Page 2
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Name: __________________________________
3 In the accompanying diagram of circle O,
.
Which statement is true?
1)
2)
3)
4)
4 In the accompanying diagram of circle O,
drawn. If
, find
,
is a diameter, and radius
.
5 In the accompanying diagram of circle O, chords
diameter,
, and
. Find
.
and
are drawn,
is a
is
Regents Exam Questions G.G.52: Chords and Secants 2
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1 ANS: 2
Parallel chords intercept equal arcs. If
divides the circle into two 180° arcs. So
its intercepted arc. So
REF: 060603b
2 ANS: 3
3 ANS: 1
4 ANS:
40
REF: 069403siii
5 ANS:
60
REF: 019501siii
REF: 088519siii
REF: 060811b
then
as well. The diameter of a circle
The measure of an inscribed angle is half that of
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