Regents Exam Questions G.G.53: Segments Intercepted by Circle 7
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G.G.53: Segments Intercepted by Circle: Investigate, justify, and apply theorems
regarding segments intersected by a circle: along a tangent and secant from the
same external point
1 In the accompanying diagram,
.
What is the length of
1)
2)
3)
4) 4
is tangent to circle O at A,
is a secant,
, and
?
2 In the accompanying diagram,
and
. Find PA.
is tangent to circle O at A, secant
is drawn,
,
Regents Exam Questions G.G.53: Segments Intercepted by Circle 7
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3 In the accompanying diagram,
is the length of ?
is tangent to circle O at B. If
4 In the accompanying diagram of circle O,
and
, find PA.
5 In the accompanying figure,
and
, find PA.
is a tangent and
is tangent to circle O at A, and
and
is a secant. If
is a secant. If
, what
Regents Exam Questions G.G.53: Segments Intercepted by Circle 7
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6 In the accompanying diagram,
is tangent to circle
and
, find the length of .
7 In the accompanying diagram, tangent
point A,
, and
. Find AD.
8 In the accompanying diagram,
and
, find AB.
and secant
at
and
is a secant. If
are drawn to circle O from
is tangent to circle O at D and
is a secant. If
Regents Exam Questions G.G.53: Segments Intercepted by Circle 7
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9 In the accompanying diagram,
and
, find PB.
is tangent to circle O and
is a secant. If
10 In the accompanying diagram,
and
, find AC.
is tangent to circle O at B and
is a secant. If
11 In the accompanying diagram,
and
, find AB.
is tangent to circle O at D and
is a secant. If
Regents Exam Questions G.G.53: Segments Intercepted by Circle 7
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12 In the accompanying diagram, tangent
and secant
are drawn to circle O from
external point P. If
and
, find the length of
.
13 In the accompanying diagram,
. Find AB.
is tangent to circle O,
is a secant,
, and
Regents Exam Questions G.G.53: Segments Intercepted by Circle 7
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1 ANS: 3
If a tangent and a secant intersect outside a circle, the tangent squared will equal the product of the secant
and its external segment.
.
REF: 080719b
2 ANS:
8. If a tangent and a secant intersect outside a circle, the tangent squared will equal the product of the
secant and its external segment.
.
REF: 010623b
3 ANS:
20. If a tangent and a secant intersect outside a circle, the tangent squared will equal the product of the
secant and its external segment.
4
5
6
7
8
9
10
REF:
ANS:
4
REF:
ANS:
8
REF:
ANS:
6
REF:
ANS:
9
REF:
ANS:
2
REF:
ANS:
2
REF:
ANS:
3
REF:
010821b
068805siii
068914siii
089011siii
010416siii
068607siii
019408siii
019701siii
.
Regents Exam Questions G.G.53: Segments Intercepted by Circle 7
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11 ANS:
4
REF: 089715siii
12 ANS:
12
REF: 010314siii
13 ANS:
9
REF: 060314siii