Exercise
Set B
MM2G3a
Understand and use properties of chords, tangents,
and secants as an application of triangle similarity.
MM2G3d
Justify measurements and relationships in circles
using geometric and algebraic properties.
C8
What can you conclude about the diagram? State a theorem that justifies
@
your answer.
1.
A
F •
D
,.-...,..,
..-t
A-(j:::
AB=CD2.
C
,.,
Ifcho (d s ().I'e =::"40"~'4O"
-/ht'aALSOf2
~.
c-
Find the measure of
NiN.
C
A
F
\W,
•
B
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ores Ofe
fk"
;"J
:::,
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B
19['\
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0
Exercise Set B
(continued)
Use the figure to match the chord or arc with a congruent arc or chord.
16.
FB
a..
A.
17.
AF
D
B.
18.
Be
A
,---,
C. EC
-
FE
ED
19. EC
I:::-
D. AB
DC
8
E. BF
20.
21. PD
22.
f
F. PA
3
D
~laid=D• i:
:G is perpendiCUplart~C
-,
A
A
Ao z: DC ~ ~'2..
0
It;
/2. D
A
~--"-f-'-"""--\
C
(DE~8)
I
F8-\o00L1~~)
1\6=
23.
lSCf~~)
l2f"__ ~ :::~
Proof Write a paragraph proof.
AD
BD
GIVEN: X, Y, and Z are noncollinear points.
X
\.k:i:=: 51-\- ) .~'"
~~)
~frQn\
a. 1.e:J 0 c
1l\.iPf.
..•::r.f-
..L d..-, s
£.{,
\~ -the
Georgia
()v
Pr .
'S
( ..t1'1. ,,,k.
.
J~
~
')
~
!"" fl-er.-
*'
d
I
J ttu-f
Tt.5
Fr-~
~c.<A~...e,.....
H
IS ~
,"..s
fv
\
-t-r,~
l.(l,.t..
~()f
0
E
F
G
r + /ss : Ll-Z"A b'j H1- .. , 4 DTX ~ tt:J.L L 1CfYCT(
,S
J
~
(sss)
Ve,tr.tiC.tK.JrD
-+-n ~
~~
(}'r\e ~
,
204
~I
Pool You challenge a friend to find a way to use three
10- foot boards to mark the location of the center of a
circular swimming pool with a diameter of 12 feet.
Your friend centers the top board on the other two
boards and makes sure its ends are the same distance
from the edge of the pool as shown at the right. Then
your friend marks a spot on the exact center of the top
board. Is this the center oftheyool? Explain.
(}J)b~
"~"''''j'~-'O'
I~~~~-
IoCYftv
M
Xt1Z. (-th1nic-
..--. (Hint: Construct perpendicular bisectors.)
M
25.
"i ~"r'\.C2k
11-ir~~.s+s
Proof Write a paragraph proof.
GlVEN:JFisadiameterandDG::=EH.
PROVE: LDJ[::= LHJl
.0
,1
(prop:5Yh~
r: =c:
PROVE: There exists a circle that contains X, Y, and Z.
24.
G
..L
Io'~
:#"3 c,u;h 4f I CU\J tz,
(t bI)i.ch
bat if 3 /' t7> ~, "2.
C
Or-
(th-t l~·""t¥l\.~)
~.tht..
So
d-s
f\c. f- ~
M~.V,+-
CW1 '.-/- b£.
(j1~JlN.
High School
.Ht,vrI)
Mathematics
2
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