Name ,{-, . .= Period
Be sure to shorv all necessary work.
Quiz l Review
1. ll,INOP is a parallelogram.Write and solve an equation to find MP. Thenprovide a justification for the equation you chose.
N f I , -7t*tu
2. For the parallelogram, if m/2 = 5x - 28 and
ml4 = 3x - 10, Write and solve an equation to
frnd m13.. Then provide a justification for theequation you chose. lx -t o
{r>YNot to scale
{y - .z/, -/y -ro cff,,*plra---'vK= ?
lrttz, f/ql *e? -/'7
3x + t2 dyr,*,r- .ri'./"t o { u
/ o .n il o loV aht 6r--t)-
t:rxS rh* ./ .
JL= bk/- r(a) = Jo
ry| 1. /bzo3. The diagram shows the parallelogram-shaped
component that attaches a car's rearview mirror tothe car. In parallelogram RSTU, IJR: 25, RX = 76
and nZSTU:42.4". Find each requested measure.Provide a justifrcation for each.
4, TRSU is a rhombus. Write and solve an equation tofrnd wZSUT. Then provide a justification for theequation you chose.
s {l*>=)Y'*{
1., airt"<, ^ll
{
,sr:
XT:
T4).'t
tt because t)f/ir,/* . i*4r "#tt
tb because ,Lrt ot ^.1, d,t. u* a acl o *L
"r irh 6*-/ * . i ot-l ut-ta-q ,nlru; +f -
N=lL {ur > /fa - 7d * lloo
,t.n4
MLK)1 because ( fht1 c rr_rt'rx* r-y L.t a--t-
t.ff LnnJ*7 .
i i.DEFG is a rectangl?. D,c = 5"t - 5 and EG = x !
a. Sketch and label rectansle DEFG.
fWrite an equatioir taDc *ot solve.
find the value of r.
{y- {= x+tl
#-
i,D
,, iDB: /T
_..1--"''*o
GLtr.
l1
wIABD = 11
DC: IT perimet,^r of ARCD :
{:rsert the 'wsrd s*#ceti?xes. *!:*;tz.;s. {}t fi9v*{7 in **cls space to srgks a true stateme*t.
7" A rhombus is J'rh^o L'n^, a squaie.
R ."r quadrila:eral is f r-7^1*L" a paraileloglam.
fb
9. A square is rt f \ro t, r areetangle.nt/
18. Lucir:da lyanis rG buiid a square sandbcx. b*t has rlo rrav ol;::easuri*g angles. trlihicir af the fcllowing expiaks hcw
s1':e can iaake s;:re thal ihe sa;:dbax is square bi" onl-v meas*ring le*$h' {l p*i*t}
a. Arange four eqaal-le*gt& sides so t&e diago*ais bisect each other. "n. L , ( o *i$
@ anu"ge faur equal-le*ph sid+s sc, the diagonals are equai lengths also. *r
t c. Make each diagc*al ths safte length as fo:rr eqr:ai-length sides. 4n
t a. N-ot possible: Lucinda has to be able to measui'e a right angle.
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/!.
a^/ ./?!-l ,t';'9;n'J'r litJa' k c\ ror/^ih'[-'/d
l. ,- ,l n*-L,.'r***-1,\
\
6. ABCD is a parallelogram. Find all requestedmeasures if AC: 13.6.
y2?-{t01
OA: L ,Pb
nLADO=,?(-
/(
c
w,lDOC = /C'7u
m/80C = i" ?
{' /a7{b..,,,----*
lli 3
trf the figure shcu,n is a paralleiogJam.
decicie if the iigure drarlr fits into each category"
a. Square
Yes i No f!$uiExplain:
b. Rhcmbus
l.Yes / No i' N,{aybe
Explain:
fu ro^)>u6u A An .-a Jlri,t.^d t*.)^1oo n o/r dizar*r**p 1 ^1, ),'.^. o-'^ N
{, I nntu,lut h l*; ,/aci o*/u, T{/'n ltott- -l lu-l- 'l-Lr'r, o (ta
/o,VL- I rlo,/ntu., A ,. t,
fteAf fi-pal,r et I Lil- ,"{', c-jJa; i;,*3 i'l rt^J ir,J^L,,*^^ 0r.
/
12" Quadrilai*rals can !--=e elassitri*d inlo c1an"r diifbrert cat*goiies. For each catescil'. deeiCe iithe figi:redralvn fits int* ea*h categoiv.
a. Faratrlelagra*l
Yes / No i'lv{avbe
Expiaia:
b. Rectanglt
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\no r;d I t a- *o 1u{/"€ r1Y r, I
"ln, ,^i ,,.*,J {) a nf' (*)
\LA a *l^ 3 Irt;<-s- Qad ohdYlr r, r*;,-l /*t ,t 1,0 aa' . *-,1 Jo 'A\ ,,fu *n llad
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