Name:
GeometryCP
Worliisheet:QuadsReviewProofs
Work all Proofson a separatesheetof paper
TVXY
l. Given:parallelogram
SRWVandparallelogram
Prove: ZY = lR
2. Given: parallelogram
TEAM; M S = F S
=
Prove: lF
ITEA
5. Given:parallelogram
ABCD: ,Anz Cp ; BF = On
Prove:EBFDis a parallelogram
9. , Given: MBC = LDCB
Prove:ABDC is a parallelogram
Decideif eachstatementis true or false. If it is true, explain.
If it is farse,give a counterexampre.
66.
If a quadrilateral
hasthreerightangles,
thenit is a rectangle;tr
67.
If a parallelogram
hasonerightangle,thenit is a rectangle.
Fa t S e
68.
If two pairsof consecutiveanglesof a qyadrilatTalaresupplementary,
thenthe quadrilateral
is a
parallelogram.
69.
fulse B
If a quadrilateral
hastwo right angler,ih.n it is
oU
'fr*ofoiilJ;
D /c t LD s,rpp
Abcg
ulJ
I h.,+
a parallelogram.
False
Determinethe mostpreciseo"
70. A(-4,6)
B(2,s)c(3,-,1)
D(_3,0)
qYAd,Jr
f
71.A(-10,4)
B(-2,10)
C(4,2)
D(-4,-4)SnrUrrl_
Givenparallelogram
ABCD,completeeachstatement.SHOWALL TO RECEM CREDIT.
1 4 .I f a I A B C = 2 ( m l B C D ) ,m I A D C = ?
1 3 .I f A D = I , B C = 2 x - l 2 , B C : ?
41
| LO
2
t,*:,I
, l B = 6 x - 1 ,m Z C = ? 1 q '
1 6 .I f m / . A . = 4 x *7 1 m
1 5 .I f A D = 8 , B C =
[
1 7I.f m / . A = 3 1m, l C = 2 x 2 -1 , x = 2
=*Fhid-x
1 8 .I f m l B : x - 4 0 , m l D :
+I
3x
A
T
'
m/.8:? IZD
And-y.-Sh-ow
all work neatly.
t9.
{ a
\ =
q
24.
X . lI
Y .r3
t9
f,= 5 , +
f,=|
Y :1 . 3
\= 7
I lx+10)
4a
LJ,
-zx)X= I
(3x2
or-L
24'
7
\='I
tl = lb'5
o(?7
7-
25.
\.- 5 o r 7
2
1x +60
(2x+15)
Frue or False.If false,explain,
2V.
28.
Everyparallelogramis a quadrilateral.
Someparallelograms
arenot squares.
'**dbu..
-g
:"'
+ruu
1e9,
*fvu
x2 +20)
X = - 8o r 5
thatGWADis a rectangle.Find theindicatedmeasure.
Assume
43.
44.
45"
46.
GX= 6. FindXW. b
XA = 9. FindDw l(
mIGXD= 40. Findthem i:GDX,10
m ZWAG= 65. Findm IGXW . l?0'
Assumethat GWADis a rhombus.Find theindicatedmeasure.
47. mzGDX= 47.FindmIXGD 4l
4 8 . m Z G W A = 8 6F.i n d m Z G W qDq '
I
Assumethat GWAD is a square. Find the indicatedmeasure.
'
4s. Findm txDA. tl5
50. GX= 3x* 6,XW= 4x-10.FindGA.: t 0 E'
Given:RectangleABCD
51,
52.
If AC= 15,then
BD= 11
If AC= 16.5,
thenDX:re
54.
55,
If AX = 3.5,thenBD = 1
I f B D= 7 . S . t h e n X=C ? 1 5
If AX : 4y * 12andCX : 2y + 48,findy andAC,
55.
If AC = 3pt + 40 andBD = 9p + 70,thenp
57.
= C14Ll
L l' l.
I f D X = 7 s * 1 1a n d C X = 3 s + 8 3 , t h e n A
)J.
tl=l8 ' frc=t't
= 5 o,.,d'L
Given:RhombusABCD
58.
59 .
If mICAB = 30andAD = 7, findEF..iA1- DDC,, bd
1
If mIBAD:64, findmIDCA . 1?-'
Given: RectangleQRST
Q"=IZ
V
.find
SRr5
5l . {+mzlR€HO andQS= 13,
:6.2,find
62. Iflm-l€$F-45 andQT
QR. fi .7
Q3'tZ
"#
u"",*f&u*.*
b"2
.8s
Q*a
Prz'o€s,Rvu-r
.
?:z\?ZZ
t,
l,DSeuV lrT--
^&rIX\
2. lvla R,
o(I2 lS tl
?
1v3.y
s, .l lz F.
3 *nansi+\,c
f . EtElt*
l. C2
z.
EIF E
7
z. LA?^drl 2.o
?p ZS 'O
r-a
LF : zl-t
3. basc A *h r"r
4F.- zTzA 4. ltar"si fi rJa
7.
L_ISFD,n
l . rte.o "a
1.6
1 F r -
fia=cF
FFE
2. ffits;6
I . opp *sldcsn ?
3 . o p pr - s/ 3 3
Al.AAeg?Aor4 . s A s A F P o s t '
6 mbffi
5. C;pcrc
3. zA? tc
L .n e B F D
6ides
1".lf bo+t^r
pa\rs oP?
I
fte".fl.
4
V : S A e c DA
l. A^ec?
[.6
A DcB
z. ffi,btfr.
fr" 'F
f
4
2. C PCTC
r...
ftecoE
4.T
bfih Pirs
o{ o1f s;drt
qr'u a
4D
40 '
ao
4UD
?, therfl
W
)=15
, ,s, @ gxr{y =rr t^-y .+
gx+135
ti:
,**{16"q)=NJ
;;?._;r
'
{'
7 x + ) t xt - l b : r t , f
2 1x - 1 1 ' = t lru' -Y- b
- L- ' l
l 'o
@ 5x+3tr52r8
r?i=|/
5q=qo
x=18
* z "y=l^-t
fV' fri) v4- zx/ z* .3 ) L
\
Y
) :?x-|
4f,=K+x-l)+zz-
4y,5'L'
r1=
W
@ l f x +t o=3
" *2-zx
&
4 x =\ r - 3 + t t 4 x =\ x + r e
?- t s-?i r' -,t ptt I4
b
3Y"-"Zxrlfx-lo=o
)'Zffi-t
7 x ^ - , 3 x - t o = o € 4 . ( q ) 7 \ =t r r n l
'tiiit+ \'1#-/f,
Gx+A(t,-5)=o
/
\
/
\
orV
3 X + z = oX - 5 ' o
3 X -z-
l'=-i
X' 5
=90
t5
Zxt
v.z+voF
@
1r+zxr--lS=9o
r t r z, Z * - l g = O
\.#:1,3
=ffi 3o 4x-*y:/so
@ 3r+2rl
3 v = - 2 1* h
n4(-7y*,)-{y=r
t r =- + \ + l o ' ' - g
t$;-r;,':
n=
+Cj*,"
cx*5Vx-;-o
fl+to
@\;;7,:'r:3D=eo
i:
f , = --ff:"
Xrt?;x+4o=eo
,fr+3y-*ozol
(x+ I )&'-'5) =o
"'i=jg xrg
t:-l
?;;f'211
f uY
f i =l tFf
'k
'r=&trr.
(+y * 'r) = zy +rlK
4 o . Q g + 1o
@zpl+
2y ?3b
@
1,/+
rlJ iil r,
{x:-t*
@ ex+r:'o:,,
@
ft'-- X
Zx-lL
Lz.
D-
& D ' r b r , t7'
b r , l,lrl- 38,4|
L
(2y- lr) *(D.
4v'tf =x
hL" p5,L
b .10,9
-2{ = -3t<
6',.X
B
Zx+X" l6D
31-.r[-u
k ("0
@
r
D
-L
=8t
2-> X r - l ' El l
ZY,Lz 32
X2 ' lt'
)(-u
f-
X L =( b
Ll
4
,4x+ll E X-' 4' r + t t L v r - 1 ( o
reL*t
/
/
| -L-/7
/Dxtto'l(b
t-'
-L
'";:
/ \
tu / --.\
f
,r)
1(g) =K-4 | /
' l \ *
\ \ , /
,
v
jx- 4f - tbo
-r =-tLD
i;t