Name:______________________________Teacher:______________Period:_______Date:______
830 10.6 – 10.7 QUIZ REVIEW - KEY
Directions: Read each problem and circle the correct answer.
_______1.
In a circle, a central angle of x  intercepts an arc of….
a.
_______2.
x
2x 
c.
1 
y
2
b.
y
2y
c.
The angle that is measured by one-half the sum of its intercepted arcs has its vertex….
a.
_______4.
b.
If an angle inscribed in a circle intercepts and arc of y  , the angle contains…
a.
_______3.
1 
x
2
Outside the circle
b.
Within the circle
c.
On the circle.
The two chords that form the sides of an angle inscribed in a semicircle are always…
a.
Equal
b.
Unequal
c.
Perpendicular to each other.
Directions: Determine if the following statements are Always, Sometimes or Never true.
_______5.
If two arcs of a circle congruent, the chords of these arcs are Always congruent.
_______6.
If two arcs of a circle are congruent, the chords of these arcs are Sometimes parallel.
_______7.
An angle inscribed in an arc which is less than a semicircle is Always an obtuse angle.
_______8.
If two angles intercept the same arc of a circle, they are Sometimes congruent.
If in the same circle or in congruent circles two chords are congruent they are Always
_______9.
equidistant from the center.
_______10. An inscribed angle which intercepts an arc less than a semicircle is Never an obtuse angle.
Directions: Fill in the following blanks with the correct word.
An angle formed by two chords intersecting within a circle is equal in
____________________11.
____________________12.
measure to one-half the Sum of the measure of the intercepted arcs.
If two chords bisect each other, the chords must be Diameters of the circle.
If quadrilateral ABCD is inscribed in circle O, the sum of angles A and C is
____________________13.
180 degrees.
In a circle, a central angel and an inscribed angle intercept the same arc. The
____________________14.
ratio of the central angle to the inscribed angle is 2:1
____________________15.
An angle inscribed in a Semicircle is a right angle.
____________________16.
A line perpendicular to a radius of a circle at its outer extremity is a tangent.
____________________17.
Two externally tangent circles have 3 common tangents.
____________________18.
Two internally tangent circles have 1 common tangents.
Directions: Determine if the following statements are True (T) or False (F).
_______19.
A trapezoid inscribed in a circle is a isosceles. T
_______20.
A parallelogram inscribed in a circle is a rectangle. T
_______21.
If two chords intercept congruent arcs on a circle, the chords are parallel. T
_______22.
The opposite angles of an inscribed quadrilateral are complementary. F
_______23.
If two circles do not intersect, they must have four common tangents. T
If two chords intercept equal arcs on a circle, the chords are equidistant from the center of the
_______24.
_______25.
circle. T
If two chords of a circle are perpendicular, then one chord is a diameter. F