1. Which of the following is TRUE if two chords intersect in the interior of the circle?
A. The sum of the lengths of the segments of one chord equals the sum of the
lengths of the segments of the other chord.
B. The difference of the lengths of the segments of one chord equals the
difference of the lengths of the segments of the other chord.
C. The product of the lengths of the segments of one chord is equal to the
product of the lengths of the segments of the other chord.
D. The quotient of the lengths of the segments of one chord is equal to the
quotient of the lengths of the segments of the other chord.
2. If a tangent and a secant intersect in the exterior of a circle, then the measure
of the angle formed is __________ the positive difference of the measures of the
intercepted arcs.
A. 1
8
B. 1
4
C. 1
2
D. 3
4
3. ̅̅̅̅ and ̅̅̅̅ are secant segments drawn to the circle from an exterior point R.
Which of the following statements is true?
A. ̅̅̅̅ ̅̅̅̅ = ̅̅̅̅ ̅̅̅̅
B. ̅̅̅̅ ̅̅̅̅ = ̅̅̅̅ ̅̅̅
C. ̅̅̅̅ + ̅̅̅̅ = ̅̅̅̅+ ̅̅̅
D. ̅̅̅̅ + ̅̅̅̅ = ̅̅̅̅ + ̅̅̅̅
For items 4-7, refer to the figure below.
4. Which of the following make up a pair of secants?
. ̅̅̅ and ̅̅̅ C. ̅̅̅ and ̅̅̅
. ̅̅̅̅ and ̅̅̅ . ̅̅̅̅ and ̅̅̅̅
5. The tangent line in the figure is _____ .
A. ̅̅̅ B. ̅̅̅̅ C. ̅̅̅̅ D. ̅̅̅
6. mKIT = _____.
A. 27.5 B. 35.5 C. 55 D. 82
7. What is the measure of KID?
A. 105 B. 104 C. 52.5 D. 52
8. Using the given figure at the right,
find the measure of ̅̅̅̅.
A. 8
B. 9
C. 10
D. 11
9. In the figure at the right, if ̂ = 160° and
̂ = 80°, what is the mMOQ?
A. 40
B. 60
C. 80
D. 120
10.Which of the following choices below refers to the external secant segment?
A. ̅̅̅̅
B. ̅̅̅̅
C. ̅̅̅̅
D. ̅̅̅̅
11.Determine the length of ̅̅̅̅ given the figure
at the right.
A. 12
B. 10
C. 8
D. 6
12.If m ̂= 145 and m̂ = 55, what is
mBEJ?
A. 22.5
B. 50
C. 45
D. 72.5
13.If m̂ =110 and m̂ =190, what is mCSL?
A. 40
B. 55
C. 95
D. 150
14. If m ̂= 260 and m̂ = 100, what is mMNP?
A. 50
B. 80
C. 130
D. 180
15.Mark, James and John were asked to find the length of x
in the figure. The following are their
solution.
Mark : 7x = 9 10
James : 7(x + 7) = 9(10 + 9)
John : x(x + 7) =10(10 + 9)
Who do you think would arrive at
the correct answer?
A. Mark C. John
B. James D. None of them
A. The sum of the lengths of the segments of one chord equals the sum of the
lengths of the segments of the other chord.
B. The difference of the lengths of the segments of one chord equals the
difference of the lengths of the segments of the other chord.
C. The product of the lengths of the segments of one chord is equal to the
product of the lengths of the segments of the other chord.
D. The quotient of the lengths of the segments of one chord is equal to the
quotient of the lengths of the segments of the other chord.
2. If a tangent and a secant intersect in the exterior of a circle, then the measure
of the angle formed is __________ the positive difference of the measures of the
intercepted arcs.
A. 1
8
B. 1
4
C. 1
2
D. 3
4
3. ̅̅̅̅ and ̅̅̅̅ are secant segments drawn to the circle from an exterior point R.
Which of the following statements is true?
A. ̅̅̅̅ ̅̅̅̅ = ̅̅̅̅ ̅̅̅̅
B. ̅̅̅̅ ̅̅̅̅ = ̅̅̅̅ ̅̅̅
C. ̅̅̅̅ + ̅̅̅̅ = ̅̅̅̅+ ̅̅̅
D. ̅̅̅̅ + ̅̅̅̅ = ̅̅̅̅ + ̅̅̅̅
For items 4-7, refer to the figure below.
4. Which of the following make up a pair of secants?
. ̅̅̅ and ̅̅̅ C. ̅̅̅ and ̅̅̅
. ̅̅̅̅ and ̅̅̅ . ̅̅̅̅ and ̅̅̅̅
5. The tangent line in the figure is _____ .
A. ̅̅̅ B. ̅̅̅̅ C. ̅̅̅̅ D. ̅̅̅
6. mKIT = _____.
A. 27.5 B. 35.5 C. 55 D. 82
7. What is the measure of KID?
A. 105 B. 104 C. 52.5 D. 52
8. Using the given figure at the right,
find the measure of ̅̅̅̅.
A. 8
B. 9
C. 10
D. 11
9. In the figure at the right, if ̂ = 160° and
̂ = 80°, what is the mMOQ?
A. 40
B. 60
C. 80
D. 120
10.Which of the following choices below refers to the external secant segment?
A. ̅̅̅̅
B. ̅̅̅̅
C. ̅̅̅̅
D. ̅̅̅̅
11.Determine the length of ̅̅̅̅ given the figure
at the right.
A. 12
B. 10
C. 8
D. 6
12.If m ̂= 145 and m̂ = 55, what is
mBEJ?
A. 22.5
B. 50
C. 45
D. 72.5
13.If m̂ =110 and m̂ =190, what is mCSL?
A. 40
B. 55
C. 95
D. 150
14. If m ̂= 260 and m̂ = 100, what is mMNP?
A. 50
B. 80
C. 130
D. 180
15.Mark, James and John were asked to find the length of x
in the figure. The following are their
solution.
Mark : 7x = 9 10
James : 7(x + 7) = 9(10 + 9)
John : x(x + 7) =10(10 + 9)
Who do you think would arrive at
the correct answer?
A. Mark C. John
B. James D. None of them
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