Special Segments — Unit test Answers

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1
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The chords intersect at point U.

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A
2
B
4
C
6
D
8
2
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Angle K measures 67º and angle L measures 119°.

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A
m = 61o and m = 113o
Option A
B
m = 67o and m = 119o
Option B
C
m = 113o and m = 61o
Option C
D
m = 119o and m = 67o
Option D
3

Circle K is shown. Tangents S T and U T intersect at point T outside of the circle. A line is drawn from point T to point R on the opposite side of the circle. It goes through center point K. Lines are drawn from points S and U to center point K.

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

In quadrilateral QRST, measures (5x+15)°. Angle TQR measures (4x+3)°.

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A
15°
B
75°
C
105°
D
165°
5

UV and RV are secant segments that intersect at point V.

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A
1 unit
B
1 units
Option B
C
2 units
Option C
D
3 units
6

Arc QVT measures 156°.

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A
Angles QRT and QST both measure 78°.
B
Angles QRT and QST both measure 156°.
C
Angle QRT measures 78° and angle QST measures 102°.
D
Angle QRT measures 156° and angle QST measures 24°.
7

All tangents to the circle are congruent and form a square. The perimeter of square ACEG is 24 cm.

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A
2 cm
B
3 cm
C
6 cm
D
8 cm
8

Line EF is tangent to circle G at point A.

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A
90°
B
95°
C
190°
D
195°
9

Given: Circle O; intercepts ; D intercepts Prove:

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A
inscribed angles theorem
B
third corollary to the inscribed angles theorem
C
central angle of a triangle has the same measure as its intercepted arc.
D
formed by a tangent and a chord is half the measure of the intercepted arc.
Option D
10

Line segment BD passes through the center of circle C, BH = a, and HD = 8.

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A
4.5 units
B
8 units
C
12 units
D
12.5 units

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