,l'

Review: S€mester Exam: Fall2010
on Q1-Q4, solve
2. x'-71x
1.6=:x+:(x-4)
+30
r:
=0
>6
/x - 5 )(x-6) :o e: '(
lK--gl* t(: r I
,l'
- t-1,,
>+: 6\. +Y -+
(re -'2,.,
Pre-AP
3.
8x'-
L0x
P.
-3
->1
r'
S= -
O: rXr' 'rr)r 2, :\
P, tx (2,x-3) +r (2! -'..,
o - (tr ->,) (+ x a)
!g :7!.
7 t<- >: o
(Y:4
a'
@=
Geoftdry
{x: r/al
v=-3r-l
J7 - -\
-> L3x+Zy=lOJ',
L2x + sy = 3l'J
iy 1tj= 1a {(-Jrx-/
zy -+ 3(-ly-t) = rg
6y 1+a = 2a
-bY ' rs1 t 't
_,iyI rj
2l -1y -3'\g
t
Draw and label collinea r points
G,
and fiwhich lie in plane r. Nowdraw
E
which intersects plane
tat
pointJ.
.
ly:_tl
1
1,- zt't1 -
ly-sl
7.
1
ZK-- A
tistthree undefined terms and
3
8.
Point
B is
b€tween A and C. FindABif
nc= s6, Bc= x, and
defined terms.
t\1{_*l i b. {'"r l
Op,*ts 1t L'w!''.'{
ie e"".
6t:-(tp{'.* io F,.:,.r
10. The midpo;ntA of sM-
has
coordinates (-9,5, 1)- Find the
coordinates ofS if point M is at
{9, -3,4).
xtq--,.t l[-zl ,tz -2.\ |
1-
--i-:-l
\.-2.,/
_.:--.H
A
'
ea=1.
ratY-
E/
'-5" t
(-1 ,: \:/i-j,')
Fa..rt i_r'*,>?
1:..
Find the length ofthe segment with
endpoints (-2, -5) and (3,7).
12. Misthe midpoint of,4B. Findthe
value of x if AM = 3x+ 20 and AB =
'
.1:
J(-z-!)' tr ',-g - 7)r
12x-8.
r-------.-------
r- J - 5',a
- J ze"
}f-
4r\B
r
t++
t-1
[r(La?,611
(3x +
54
15V,,
/'lx
. J-rat .@]
2f3x +>. ) 5 r2x-A
.i! -:" - 6x-+
z+- :r -sJX:q
--,
3v 115 ):11: 1+
4!.+12:'?t
Itx: ?L
ig
inequality?
31\
.>1: \LL3
-.----J
t
rz.
{
rina tte
comptemd#?
?.supplementof an angle who5e
measure
isI
radians
(on?' !- - rI
J
15.
ZLlt\.L1L
+
i.i.
Let (4x - 2)" represent the measure of
an acute angle, Whatarethe possible
values ofx written as a compound
O{+Y- L<1t)
+ 7}"
ofthe segment
/-L+.
v,",A\}*{ 1 -,
D,,Llr r."i.\c...1 - e. Ap";^{
Giren nZABC = 94",lind nZABD.
Find the midpoint
with endpoints (-6,3) and (2, -3).
( w'+\-55:o
(x-1\('.l-u,a
B
,1
9.
<rE
n
_-
i
tfrt!
18. Let ZA and
l8
be supplementary
19. Find the measure
ofthe missing angle
20.
angles and let mzA= (9x- 12r and
mlB
=
olx and ythat make
Find thevalues
the polygon below
r:gqlr!
(24x+ 60)". Find the
measures
oflAand lB.
a=1,t
,4X-tz t 2r! -(]: ,itt)
,?'v- t4 8- l*L
:3r(:
t/
I l?-
2y
v+9
*:!,
5y-'r..1 -q
.i
5x-2y.1
L'
,.. i_ h--.1i4 - lZ : z,tt'I
Y=
i.'it,.a,
11,a +
,.tt:lL
trlr)l
7
-,t
21. The length and width ofa rectangle
22.
are quadrupled. How do the
perimeterand area of the new
rectangle compare with the
perimeterand area of the original
rectangle?
The flgure below showstwo squares.
Find the
e&q! circurnference ofthe
The area ofsquare 1is 36 in'zand the
area of square //is 196 in':- Findoand
b.
a'
.:'
r!
'
4=It-(
Ezi
c1?,0)
:
1.,
4\
le., k
23.
I
:''
M t
24. Findthe perimeterand area ofthe
25. What are the nexttwo terms ofthe
triangle.
1, C,5, G,9,
?:
51 "-"c
K, \ \
, \J
'
a L.
26.
Space ali€n Googl€ eyed Goreki
spent a yearobserving life on our
planet. When autumn came, Google
eyed 6oreki notices that the leaves
on the trees surrounding his
spacecraftturned golden brown and
fellfrom ihe'r branches. He observes
othertrees in the area, and he
notices that their leaves aho turned
brown and fellto the ground. When
he makes a conjecture based on his
observations, what type of reasoning
is space alien coogle-eyed Goreki
using?
27. Referringto the information in Q26,
28. Whattype of inductivefallacy did space
alien Google-eyed coreki using?
space alien GooSle eyed Goreki
conjectures "Porve simp torkdom
feek". Translat€ his conjecture into
\.1 . .L,
\ .. z;.c. t
All \..
1.1r/
/".; {-{(
'r4 / i\.
a
tt haneteslare polyson,.
I
alien Google-eyed Gorekineed to see
to disprove his conjecture?
t r.....r,
"1
,.,
:r
30. Forthe given statement, write th€
if then form, the converse, the
inverse, and the contrapositive.
Then give the truth value ofeach
,,
29. What €ounterexar.ple does space
l.
English.
l:lur\.6{,rr. g ,r
,(.'l
. ,('ra F- q-,. !l'
. -:.
i
IL
,.: a
't_l
31. Write another conditional
statement that is equivalenttol
If n/l -
30o, then
Zl
32. lf a triangle
is acute.
l{: 1t ,s..'(.,."i.t.
t. -.,- ,-t t I
7t,
J.'",, AAbc
33. lf an an8le
is an obtuse angle, then its
rneasure isgreaterthan 90" but less
than 180". The mzA = 125'. Using
the taw of Detachmen! what
conclusion can be made?
I
I \^,. do'- n o+ r'1 i!'r
I
n;t
''
2calt,c..
'a',.
i. ' .:;"
I...,.l
r'
lf tgo to myfriend's house, then lwilluse his portable matter transportation unitto insta nta neously travJioillanet in--16general vicinity of Betelgeuse. lfschoolis canceled, then lwiligo to myfraend's house. tf I end up on a ptanet
in the vicinity of
Betel8euse, then my dematerialized body will remate rialize so that my left arn is attached to center of my forehead. Usingthe
Law ofSyllogism, what conclusion can be made?
lt;,+t-,,f
r"i-a i
If,.rvt*^
- '""f "- .,,;
;t'.tt./,
\. 1 ,.
35.
scalene, then no sides of
the Consequent, what conclusion can
G.&"1c...t;.r.'
34
is
thetriangle are congruent. Two sides
ofI,AAC are congruent. Using Denying
.1,
..
-
;
rr,.,..1 .,1
.-l
or;."J,
Find the measures ofeach lettered
37. ln the figure, which ofthe following
angl€.
statements must be true?
(l3j - 3)'
4x2=t]\ 3
4\' ri.+1:o
*r?-\
{ a4v
,
I
j
J-'2!'
.i
-:l -l(f'-r'-
.'
/
"*t=a*"/
b+J+d=180 /
fa,:-i)i,-z]-i
Find the
value(s)of, that make
Illm.
39.
ofr
so that
txl
rc1:
Find thevalue
15^
m ll n.
Pirfd the values
lrl
'
: \ *v:lf1,
5x
( x -_s){,t
*
',1.)
2N
',--i
'
-
i1'-21 . . i,.,-rz
b ll c, and d
is
skewto c.
-L
,,
-Y
1x
= Lbo
t.:-,
.'. '
41. Draw a diagram such that a
and v.
+ ,3\
tl+3x)"
X1 +1X =1A- !D,t
Y2 {t'tx - qb . o
ofr
42. ln Euclidean geometry, for
.Gt';) +', ,
rq^
lv.
rol
a point P not
43.
on line /, there exists one line through P
that is parallelto line Write a
correspond ing state ment for Elliptic
rl,
I
and Hyperbolic eeometries. .
Flllrlc = ryo r^,.k,1 ,yt.,!'" 't"
L, I
r, ut
ff{Frrta., . ^"^)\ ta "{ttt
I
Find the slope ofthe linethrough the
points ( 6, 7)and (5,2).
"
2-) ''-r,
'i
-6.:,
I
l-
44.
Find the value ofksothatthe lin€
throush the points {-5,6)and
(r;2,3P+ s)is parallelto the line
through the points 16, -1) and
45. Graph
lll
uation
a
3v=r
f
46.
* 2. z
'r.
't'rl
h -6{!
\
9+t:
'
jlr;,
-
I!rl
-
the equation ofthe line
through (-8, 1)that h paralleltothe
lin€ descrjbed by the equation
4-1. Find
I = -l* -
44. CP has endpoints at C( 2,4) and
P(2, -4). Find the coordinates oftwo
o. write your answer in
l,)'i"
- : {ttz')
:
v'
-:
. -l
v,,
Al l^.
1"v",
i
X:lrD'
Y= t+a
/
I z: ll!"
For
/
qL
1
It3
!
;---'l
J<-;{- a^<-L*<. P,,-v 1l
r*s
50. Find the values of .r andy.
Find the values ofx, y, and z.
l
*--)u
V
49.
pointsA and E such that ACAPand
aCEPare congrujnt right isoscqes
triangles. Y\-_ ,'l t ' 'L
slope interceptform-
't -l
J+
_:! - -J
3_
!
;i;
:
r -:
L\t +3,j-- - 281
2p q=(t1
tlla: \l
"
'./rl: 5 +sl
1yfJ.3l':
L+6 v11
y,+
Find the equation of the line through
the points {-5, -1}and (-8,4). write
your answer in standard form.
s'4
\
114,1).
ru.
tl
Q5$Q5{, determine which triangles, if
s1.
AEGF=^/-rlNby
l-+
l-
any, are congruent. State the congruenae
postulate ortheorem that supports the
congru€nce stat€ment. lI the trlangles
cannot be shown to be congruent from the
given informatlon, wrlte "Cannot be
determined."
r1 LsrP-^Afl b\ A5lt
Mo8=^ CFA by <4 (
AWHY
=
L
uu
li),*t k
l
For Q54-56, w.lte a
p.oofin either
a
two{olumn or flow-chart format.
56.
Giuent
55-
z1= L2 and 23 = L4
Prove:.48- aD
Given: AWXY is isos€eles; Z is the
midpoint of llyProv€r AWXZ E AYXZ
ll
57.
Giuenz ,42=
Prcret
A
*\t f;A'*
(qt*-
i" i5'('l"e
(DAwx\
@Wx: ix
iR
tO
er"*
.{
'O uc.
\s-:ce{':
I
(a z i. tr- -,JP""4 '{ €-xl]%vY
calv= ?:s
G)Xz=Yz
@ Aw, :av'
z
ALt't tz
@ z-27
V"-f ,..,
13
( L\:-L3
(a cz! t+
6t
tE
t
!
E-B
(t-1?"^..,rf
t-'t
'.
,A {.-""-r.
(u-,
s
a-t :'
-e.
"i Alt. a -Q. t'1u.'
{-,
\1,! G
€t -Lz =^tz
(5 ur" z 1+hl7 : lt..
-- lYo
Et
\>')tr \5 L3 a--Q.
Ja1
"2r1''
Le -
\_R
ULz:tz
l4-l Wll '4L3
6 b.l."l r^-,J6",-t
(CR4\ext ,r P-c,. 3
"f
6 sss / r"s+iall
".* r zr
p F"J.
"c
\Dh-., t"i. f.sf .r&
@s"u.r.!-+-* F--e.
or s,ppes.
\, "t
Zl
23
13
and
ate supplementary