Regents Exam Questions G.G.49: Chords 1
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G.G.49: Chords: Investigate theorems regarding chords of a circle: perpendicular
bisectors of chords; the relative lengths of chords as compared to their distance
from the center
1 In circle O, diameter
angle?
1) straight
2) obtuse
3) acute
4) right
intersects chord
2 In the diagram below of circle O, radius
perpendicular to
at point P.
What is the length of
1) 8
2) 2
3) 3
4) 4
, in centimeters?
at E. If
is 5 cm. Chord
, then
is which type of
is 8 cm and is
Regents Exam Questions G.G.49: Chords 1
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3 In the diagram below, circle O has a radius of 5, and
perpendicular to chord
at E.
What is the length of
1) 12
2) 10
3) 8
4) 4
is
?
4 In the diagram below of circle O, diameter
, and
.
What is the length of
1)
2)
3)
4)
. Diameter
?
is perpendicular to chord
at point E,
Regents Exam Questions G.G.49: Chords 1
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5 In circle O shown below, diameter
If
1)
2)
3)
4)
,
, and
, what is the length of
at E.
?
8
9
16
25
6 In the diagram below, diameter
If
1)
2)
3)
4)
is perpendicular to chord
and
7
8
15
16
bisects chord
, then the length of
is
at point E in circle F.
Regents Exam Questions G.G.49: Chords 1
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7 In the diagram below of circle O, diameter
and
, find the length of .
8 In circle O shown below, chords
,
,
,
Determine the length of
is perpendicular to chord
at E. If
and
and radius
are drawn, such that
, and
.
. Determine the length of
.
,
Regents Exam Questions G.G.49: Chords 1
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9 In circle R shown below, diameter
is perpendicular to chord
at point L.
Which statement is not always true?
1)
2)
3)
4)
10 In the diagram below of circle O, diameter
If
1)
2)
3)
4)
, which statement is always true?
and chord
intersect at E.
Regents Exam Questions G.G.49: Chords 1
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11 In the diagram below,
is inscribed in circle P. The distances from the center of
circle P to each side of the triangle are shown.
Which statement about the sides of the triangle is true?
1)
2)
3)
4)
Regents Exam Questions G.G.49: Chords 1
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1 ANS: 4
2 ANS: 3
REF: 081308ge
REF: 011112ge
3 ANS: 3
Because
is a radius, its length is 5. Since
REF: fall0811ge
4 ANS: 4
.
is a 3-4-5 triangle. If
REF: 081124ge
5 ANS: 2
.
REF: 061221ge
6 ANS: 2
REF: 011424ge
7 ANS:
.
REF: 011234ge
8 ANS:
.
.
REF: 061336ge
9 ANS: 3
REF: 011322ge
10 ANS: 4
REF: 081403ge
11 ANS: 1
The closer a chord is to the center of a circle, the longer the chord. REF: 011005ge
,
.