I
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1\e0tew- --- -- - -
--·Name--
--------------~----
problems 1-10, find the measure of each angle. Refer to the diagram
and the information given.
t._
Given:
80
AB is a diameter,
DA and DC are tangents.
AC
_IS, (n 0G, Hi. is t~ng~nt to 8G at H, and
the rad~us is 10.,· _
.
= 120°, AE = 84°, EG = 58°
H
1 . L1
3
L2
L3
4
L4
5
Ls
6
L6
2
:If JI. = 4.5, then HI = __
L7
8 LB
9 L9
io L10
7
:If HI= 24, then !I= _ _
True- or False_
' 11 _ _ _ _ _ _ Parallelogram ABCD is inscribed in a
Then mLA must be 90.
8.
1 2 - - - - - - If an inscribed angle and a central angle
intercept the same arc, they are
=.
I'\ .
13 __:_._ _ _ _ _ Two concentric circles have exactly 1 common
tangent.
14 _ _ _ _ _ _ If a quadrilateral is inscribed in a circle, its
opposite angles are supp.
In thegiv~n ci.rcl~, KH is tangent at point H.
- 15 --"-------'-'------- A line can intercept a circle either 0 times, 1
time, or 2 times. No other possibilities exist.
16
1
_ _ _ _ _ _ If a chord of a circle is twice as long as a radius
of that circle, the chord is a diameter.
'l- ------,---- If two circles have
4 common tangents, then the
two circles intersect.
JG= _____
HK ==-~--- - -
8
19 Chords AB, BC, and CA
00
are equidistant from the
center of the circle.
Find the measure of AB.
LOCB = 75°
Find the measure of LA.
0 Given:
Two concentric
circles with radii of lengths
16 and 20.
Find the length of a chord
of the larger circle that is
tangent to the smaller circle.
_21 Find the length of
the radius of 0Q.
24 AC = 14
2 The ratio of the lengths of
ACto AB is 3:2.
AB = 10
CB = 18
Find the length of the
radius of the largest circle.
-- Find the measure of LP.
2.3. Find the value of x for each 0C. li»x\
yoL.\r
cmswer.
Assume segments that. appear to be tangent are tangent.
I
-G-r-R:GLES --- _· __ .J_-=fe-si-- -'Revtew- .
-·· -- - . .
t._ problems 1-10, find the measure of each angle. Refer to the diagram
and the information given.
00
AB is a diameter,
DA and DC are tangents.
Given:
AC = 120°, AE = 84°, EG
1 .L1
.
= 58°
fJ
(./Ji)
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to~~:<."--=-- ,., S" ::.~
;·~-·o -" ...... --d- ·'a ~ ":"
J'D v
3
L2
L3
tf-;)
4
L4
lot"
2
18, (n 0G, HI. is t~ng~nt to 8G at H, and
the radius is 10._·
0
y ~~ ''')
i)
L5 3i
6 L6 \~\"
7 L7
8 LB t?::>o
5
: If JI. = 4.5, then ill =•'D • S.
3go_
::: /0/
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12_+-£
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:
..
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True· or False.
---r-·
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Io L 10 4~ •
11 __':. . . - - - -
:;
8
L9 1_;0
9
:o.s=-
·:.:
: If HI
'.:• )
Parallelogram ABCD is inscribed in a
Then mLA must be 90.
= 24, then JI =
( ft;
0.
i~IJid ~n8le
e
·
If an
and a central angle
intercept the same arc, they are = .
I~.
Two concentric circles have exactly 1 common
tangent.
14 _ _l.-J.....
__··-· If a quadrilateral is inscribed in a circle, its
opposite angles are supp.
. 15
1
-~-=--J.""---"-
In the given (ircl~, KH is tailgetit at point H .
A line can intercept a circle either 0 times, 1
time, or 2 times. No other possibilities exist.
Y_.L.--- If a chord of a circle is twice as long as a radius
6 __
1 'l-
of that circle, the chord is· a diameter.
_--L.F-~.--
If two circles have 4 <;:ammon tangents, then the
two circles intersect.
9' .
JG=
1'"\l-
3 'c;/. i.
-y
-
11_. \1
I
I
-=X
/'
c
8
19 Chords AB, BC, and CA
80
are equidistant from the
center of the circle.
Find the measure of AB.
LOCB = 75°
Find the measure of LA.
r;·a
/~0
L--
Two concentric
circles with radii of lengths
16 and 20.
Find the length of a chord
of the larger circle that is
tangent. to the smaller circle.
0
0 Given:
21 Find the length of
the radius of 8Q.
W h · crvJ
I .,
(,or 'It
0.J h
../'\ '{
tl_". ::.
<I
;;:; r ~ lf ;: C)
~~ ~'
[! r 3-~ -s)'~C l./~c
lit>
\...
2 The ratio of the lengths of
ACto AB is 3:2.
B
. -- Find the measure of LP.
t(\L-
p~
Oa
.
p
A
'
~ (~ -S:.)
~(1;>0- ~(~
~(
ft-\!
·.,.....
·;_· ~ ~-;·_-\f - cr
Lf .;;)
Jd
~- "''"""'~--'"'""
-~
2.3. Find the value of x for each OC. l1Dox \
yoL\r
ons we r.
Assume segments that. appear to be tangent are tangent.
. x t- s·
~- - --
L.J h . ev._ r
Xt- s-}
S :;.
-----
0\-\_,
t) ,
5~ :r;JS'"-:;.. ;;:;1..
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