KL ChineseJournalofPathophysiology 2013,29(2): [] (2013) !"#$%&',,, (!"#$%&' %, ) Rolesofmitochondrialdysfunction
|
|
- Katrina Paul
- 5 years ago
- Views:
Transcription
1 KL ChineseJournalofPathophysiology 2013,29(2): [] (2013) !"#$%&',,, (!"#$%&' %, ) Rolesofmitochondrialdysfunctionincardiovasculardiseases XIONGYan,ZHANGMei,CHENFei,FANGWei jin (GuangzhouResearchInstituteofSnakeVenomandDepartmentofPharmacology,GuangzhouMedicalColege, Guangzhou510182,China.E mail:xiongyan2001@yahoo.com) [ABSTRACT] Mitochondriaareimportantorganelesofenergygenerationineukaryocytesandplayapivotalrolein celcalciumhomeostasis,signaltransductionandapoptoticregulation.theposiblecausesleadingtomitochondrialdys functionincludeoxidativestres,ca 2+ disorder,reductionofmitochondrialbiosynthesisandmitochondrialdnamutations, alofwhicharealsocloselyrelatedtothedevelopmentofcardiovasculardiseases.understandingthemitochondrialdysfunc tionanditsimportantroleincardiovasculardiseasesareverysignificantforelucidatingthemechanismsofcardiovascular diseases. [ (] ()*;()*+,-.;/01 [KEYWORDS] Mitochondria;Mitochondrialdysfunction;Cardiovasculardiseases [)*+,] R363 [-./0] A doi: /j.isn / :; 7 <=>,3?@ABC7DE, 3 7 PQR,/01 7 2SRTJ UV WXY, 1700Z[3\]/ 01 ;^_ D 300[3\]/0 1,`a\bc 7 41% [1] 0 / 0 - / 7/01 ^,?7=@ Z7%& I,()*+, -. /01,, %& ()*+,-._/01 =@=> 7, I/01 7= N 1!1 &"# 1.1 ', _ 9 b ()* F 7 ) F, ()* 4 7() *, 7 / 7[, ], 7, /, D,,( ) * Z, ` * 7 40% ()*_ 7! "#7, $!] A%7 & 1.2 ()*, R', ()*, +, 7,-./(ATP) NADH+H + FADH 2 ()* # 2) , 8_ 2)Ⅰ Ⅱ Ⅲ Ⅳ9: ; () *,^ _()* # < ;,=()* <>(mitochondrialtransmem branepotential);()* 7 8 2)Ⅴ F BCDE_()* <> 7, 2) V F 1 ATP,=,- _FGHIJ, [] [ ] [ ] (No ;No ) Tel: ;E mail:xiongyan2001@yahoo.com
2 MN O (uncouplingproteins,ucps)./- >* (ade ninenucleotidetranslocator,ant)@a, 7,, ]2 ATP^M,7 HP=; ()*, -O (reactiveoxygenspe cies,ros)7 ';_()* 3 2)Ⅱ Ⅲ Ⅳ7<867,?7TT Q - Uc 7V 1 <87WX Y 3, 8,C'V7 1 <8 Z[8(superoxideanion,O 2) - \()*<867 < ]^B, WX7W _`a, Z[8@ QR;\()*<867< RbB, WX7 QZ, Z[8@ QR;, ()*, c 7 ),()*U_ ASN 9 ()* Ca 2+ X 2 H 2 H;%& 7 H Ca 2+ *(uniporter);,?()* <>7< ; Ca 2+ ()*,^ 8 [8;,()*7 <> ()* Ca 2+ 7 E ]()*_ > 7 Ca 2+ N,,NB Ca 2+ : 7L Ca 2+, S Ca 2+ Ca 2+ 7 ; M Ca , ^ Ca ()* E7 Ca 2+ U, Ca 2+ 7 ()* F 0 F 1 ATP2 MN# 2 (nitricoxidesyn thase,nos) 7AS;,- ATP7@)2, *, 7 ()*7 Z b 8, 3 #7 C(cytochromeC, CytC),\, b A 8 1(apoptoticproteaseactivatingfactor1,Apaf 1) 2 = caspases5, b; () *_ b,()*u _ Q Z M - /7@)2 7 2!"#$% 2.1 ()*+,-. :(1)ATP2 ] :()* AS MN UCPs ANT 7 8 ()* <>, ^ ATP2 ] ;(2)ROSQZ: 3< 867]^ QZ / A S ROS QZ;(3)Ca 2+ :()* < > ()* Ca 2+ ] ()* Ca 2+ QR Ca 2+, # Ca 2+ AS7 9 ;(4) b: ()* S L M (mitochondrialpermeabilitytransition pore,mptp) mptp S CytC, A caspase5, b 2.2!"#$ %&'! ( ) ()* ', ROS \ 7 ;,\()* ) (manganesesuperoxidedis mutase,mn SOD) ) 7, ()* ROS@ QZB, (oxidativestres) ()* Z[ 8@ QZB,U # 7 - Z[8(per oxynitrite,onoo - ), (nitrosative stres) ()* AS,]^ 37<867,QR U M UCPs [2] UCPs >]()* 7#4 [8 N 7, () * 7 H 8, ^ ()* <>, -,- O,] ATP2 ; B UCPs ] ()* ROS@ ;, 7 UCPs 7#,M] ()* ROS7@ ; 7 UCPs ()* +,-.7 8,UCPs_()*+,-. U ()* DNA 7 2 ROS M ROS,# ROS 7 ROS (ROS inducedrosrelease,rirr) [3] RIRR _ J = mptp Z[8 N, ()* <> ROS, ()*7 RIRR, RIRR, ( )*+, # 2 b *+, -.!/ )0 ()* Ca 2+ Ca 2+ ;()*,- Ca 2+, 3 <867 7()* <> ]()* Ca 2+ 7 ;()* 7 Ca 2+,,- AS^ ATP2 ;,! 3
3 366 2)AS7 ()* <> 7 8 mptp ()* DNA" L ()* Ca 2+,()* Ca 2+ #*$ N Ca 2+ X 2 ()* Ca 2+ %7c & %&'N, / ()*+,-. mptp 7^ Ca 2+ * [4] ;, mptp A 7/ ()*+,-., Ca 2+ * S ()*@)2 ATP7, ; ()* DNA( )( )*@)2 3?#*+ ()* C Ⅰ(cytochromeCoxidasesubunitⅠ, COXⅠ) β actin,- 7. )() * DNA( [5] /0 ) *Q1) A * γt A 8 1α(peroxisomeproliferators activa tedreceptorgammacoactivator1alpha,pgc 1α) ( )*@) (nuclearrespiratoryfactor1,NRF 1) ()* 8 A(mitochondrialtranscriptionfactorA,mt TFA), ()* 7,() *@)2 QR [6] /0 NOS(endothelial NOS,eNOS)2 7 NO PGC 1α ()*@)2 7 8;,AMP A (AMP activatedproteinkinase,ampk) ( )*@)2 7 8 #;\ *, 23 DB, ATP/ADP 4,AMPB C 5, AMPK ()*,QR()*@)2, + [7] ;,U Z 9 ()*@ )2 Ca # 6 9 MN 7,? Ca 2+ camp NO ATP/AMP 47KL, PGC 1α7 AS, ()*7@)2 8Z%&/ I,9: ; N 3 )7 / ()* DNA,- PGC 1α "IJ, ) ()*@)2 ; _ 3 < B PGC 1α N()* ;, ()*@)2 ], ()*+,-.7== ; / ()*2 ] >2? =/01 7 L : -. ; <!/ () ()* S L(mitochondrialpermeabilitytransition,MPT) ( )* S"QR, ] mptp ' mptp >]()* Z ' S 2MN, 8 8 _ 1.5kDMJ7B 8 H + Ca 2+ N C mptp ()* 7< SZ[8 N 7./- >8 7C D (cyclophilind,cyp D) #G 8 D E 4 *,- - CyP D A7 *;, A, CyP D S 2, mptp, / 0 / [8] 8Z ()* <> ()* ATP3, [ -QR,- " mptp, Ca 2+ _ mptp = R ;mptp7, / SZ7AS, S 1 J,mPTP F 9S, G] Ca 2+ ()* MH ()* 7 ; J,mPTP < H7aB 9S, ()* 7 H + A,()* IJK, ()* <>LM, -,- O, ATP2 N ;()*,Uc 3, ; O 5,()* IJ,& ()*, 7 C b 8, A caspase b \b DNA=:>?@;ABCD". ()* #W S, 7P6) ( ) * DNA(mitochondrial DNA,mtDNA),,QRST UVW ( )*, ] mtdna XY7, DNA 2 7, ]()* 3, AS 7,,mtDNAK ^ 2 [5],R mtdna 7 X, mtdna 2 "L; mtdna (8,'M mtdna"lz [N 7+,,- (oxidativephos phorylation,oxphos) ; mtdna "L \ ][ #^_.B= ()* +,-. S 7?, = ()* "L7_. 3!"#$%&' 3.1 E & (atherosclerosis) /01 \b7
4 367 c 2 7== ; `a01b, c, 01C Q1N J L 7 ()*+,-.B S 3 Z7 ROSMN[ 7 mtd NA 2 "L 7=@=> [10 11] D % & I, (oxidativedlow densitylipoprotein,ox LDL)_ 7=@=> ;( ) 7 ROSN 7 ox LDL N 7 Ox LDL ()* A S, ()* 3<867]^,QR ROS@, S1, [12] apoe -/- # # E7 ), 0 7BCJ QR, L %&=,apoe -/- Mn SOD(SOD 2 )AS,( )* DNA QR, ] 7 ;apoe -/- ()* Q, LIJR [13] ;, apoe -/- -SOD +/- 2 7%&J,()* ROSQR 7,^ UQR * 87 S [14] 01 S? "L (ataxiatelangiectasiamutated,atm) # DNA N 7, B mtdna7@)2 ( & % &= [10 11],apoE -/- ATM +/- _ ( = 0?, IJR<7, L 701C c DNA QZ,()* DNA( ],ROS mtdna SR )QR G DNA +, -. 7 mtdna 2 R < apoe -/- MN =?,mptp B ()* <>JK ;^ mptpab, ()*, b L, 7=@ => >', ()*+,-.,_ 7 = ;()*+,-.,R< 7=@ =>;^ mtdna +,-., 7 c 3.2 F 0 (hyperten sion) O # 7/01 01 Q 01b S LSMN01C Q1 0 7 L Z7%& I,()*+,-. 0 Z[8 A 2 7 NO, S01 +,,01 QR,0 5 UCP2 Z S KL 7 ( ) *, - O 0 [15] ;Bernal Mizrachi %&=,C UCP1 701C 7dIJ5 0 QR0 AS,()*, %MN()* DNA"L N 0 0 S/ 7 ' 0,01 I(angiotensin I,Ang I)_ 0 7=@=>,AngI ()*AS A NO, 01 +, [16] ; 01 Ang I * F 0, IJK ()*+, ()*+,-.U 0 7+, Chan [17] %&J,_=S 0 D 7` 8 ()* 7 ROS@ QR, ()* AS ; T Q10K ()*<86 7+,,IJ C" 0 ;^ <8673, IJ5 C" 0,()* Z S ()* trna "L 0 7 = R ^()*+,-. c=s 0 7,Wang [18] # D P6 0 7 P6 =,()* trna Ile 4263A>G" L ()*, ()* P6S,%&= 0 E_IJ7 P6 ;& 7%& # H, P67()* trna"l 7()*+, -. c=s 0 7= [19] M%& ROSQR ATP@ ] % MN()*<8673 AS ()*+,-._ 0 7=@=>,Q M,( )* Z S ()* trna "L 0 =, P67()* "L' 7()*+,-.S H c=s GHI -JKLMN / 0 (ischemia reperfusioninjury) ] S/ \7, / / +, (/ ),GL
5 368 /, / \ b ; ()*, -. / 0 7 [20], ()* ATP@ 7 ROS Ca 2+ % mptp S [8] 0/ 7 ROS / 0 7 c,^()* / ROS7 #GI ROS QZ ()*7 X, ^ ()* < >, ()* ATP2 -.; #GI()*+, Z7 ROS, NB Q, 2()* 7 S, <86 73 AS7 # J, ^ S1,& / b \ [24] Shc-/- _/ 0 IJ] /, Z7 ROS / 0 7c # [21] ;, / 0 7 ; D %& I,/ 0 B Ca 2+ % / 0 7 c,^ ;ROS KL()* 7 S, Ca 2+?: ; ()*, M BS,- 7 H ]()*,, - -.,ATP@ ] ^ # QZ;( / ATP S Na + ASJ, Na + 5, A Na + -Ca 2+ 8, Ca 2+ QZ^RP Ca 2+ % [8] & %& =,_ 0 / mir 214 Na + -Ca mrna,, 7 \b 9,= [22] G%&, ()* Ca 2+ #, / 0 7 # QR Ca 2+ %,()* mptp S S _ 0 = mptp D 8 ()*, () * <>LM, B Z b 8( CytC ) b \b [8] %& H, *A 7 / 0 ()* mptp7 ^H [23] 0 / 7 ()* mptp [24] ()* / 0 ( ) * mptp7 S [25], A mptp 7 ), / 0 = [8] ; mptp / 0 7 # [26] >',K ()*+,,] ( )* # ()* mptp7 " 0 / GO / (heart failure) / 0, / 7 ] ^, * 7 ; / \ 0 / Z/01 => 7 ()*+,-. / 7 * _MJ GI: ()*, -._/ =@=> ;_ 3 Z ) 7%& I,/ B/ ()*E _ <8673,- 2) +, ; _/ ) %&=,/ ()* 2) IVASIJ] ; 2) I 2) I7AS [27] ;GKL ()* ATP2 ], U ()* ROS@ QR;/ ()*, -.R / +, /+,7 ;ROS / 7 c, / +,7 S] / 9 ;& %&=, _ IJ/ / 7 3 / ()* OXPHOS 3 2) -, 7,^_ 7 _ ()* 7 ;G HR()*+,-. _/ [28],()*@ )2 / 7=@=> _ 7H S / % & I,/ PGC 1α NRF 1 mttfa ()*@)2 8 J,()* DNA( ;GL () *@)2 ], ()*,- MN -,, / 7=> [29] Sebastiani 'N 7 %&,/ B/ mtdna ()*Q1Q R, 7 & 7%& # I,()*@)2 -. ]/ 7=@,_ S/,()* DNA 3 / mtdna, / 9 [30],()*@)2 7KL / B/ L 7c #, / B/()*7 # L ; / - +R 70%7, +,^/ B /7 ) - L ; - 7DE 7 SQ R, # / ( -. /, S
6 369 1 T R/ 7=>,Neubauer 7/, 3 7 ; / 7 G K / 7, + >',()* / B 8 7, / B L 7 ;, ST ()*, +,7 S, ) ] C / ()*_ 9 MN Ca 2+ b "= 7,()*7W S^ #^P6!,,()*+, _@*A 7 ()*+,-.7 KZ ;,/01 B () *+,-.7= " [31 32] ; %&7 F,()*+,-._/01 7 T>C 4#TJ, $/01 7%& [2 3 -] [1] HuSS,KongLZ,GaoRL,etal.Outlineofthereporton cardiovasculardiseaseinchina,2010[j].biomedenvi ronsci,2012,25(3): [2] El KhouryTG,BahrGM,EchtayKS.Muramyl dipeptide inducedmitochondrialprotonleakinmacrophagesisaso ciatedwithupregulationofuncouplingprotein2andthe productionofreactiveoxygenandreactivenitrogenspecies [J].FEBSJ,2011,278(17): [3] BiaryN,XieC,KaufmanJ,etal.Biophysicalproperties andfunctionalconsequencesofreactiveoxygen species (ROS) inducedrosreleaseinintactmyocardium[j].j Physiol,2011,589(Pt21): [4] YaranaC,SripetchwandeeJ,SanitJ,etal.Calcium in ducedcardiacmitochondrialdysfunctionispredominantly mediatedbycyclosporinea dependentmitochondrialper meabilitytransitionpore[j].archmedres,2012,43 (5): [5] ShokolenkoI,VenediktovaN,BochkarevaA,etal.Oxi dativestresinducesdegradationofmitochondrialdna [J].NucleicAcidsRes,2009,37(8): [6] ShengB,WangX,SuB,etal.Impairedmitochondrial biogenesis contributes to mitochondrialdysfunction in Alzheimer sdisease[j].jneurochem,2012,120(3): [7] LiL,MühlfeldC,NiemannB,etal.Mitochondrialbio genesisandpgc 1αdeacetylationbychronictreadmilex ercise:diferentialresponseincardiacandskeletalmuscle [J].BasicResCardiol,2011,106(6): [8] PennaC,PereliMG,PagliaroP.Mitochondrialpath ways,permeabilitytransitionporeandredoxsignalingin cardioprotection:therapeuticimplications[j]. Antioxid RedoxSignal,2013,18(5): [9] GordonLI,BurkeMA,SinghAT,etal.Blockadeofthe erbb2receptorinducescardiomyocytedeaththroughmito chondrialandreactiveoxygenspecies dependentpathways [J].JBiolChem,2009,284(4): [10] MercerJR,ChengKK,FiggN,etal.DNAdamagelinks mitochondrialdysfunctiontoatherosclerosisandthemeta bolicsyndrome[j].circres,2010,107(8): [11]ChistiakovDA,SobeninIA,BobryshevYV,etal.Mito chondrialdysfunctionandmitochondrialdnamutationsin atheroscleroticcomplicationsindiabetes[j].worldjcar diol,2012,4(5): [12] RoyChowdhurySK,SangleGV,XieX,etal.Efectsof extensivelyoxidizedlow densitylipoproteinonmitochon drialfunctionandreactiveoxygenspeciesinporcineaortic endothelialcels[j].am JPhysiolEndocrinolMetab, 2010,298(1):E89 E98. [13] DevarajanA,BourquardN,HamaS,etal.Paraoxonase2 deficiencyaltersmitochondrialfunctionand exacerbates thedevelopmentofatherosclerosis[j].antioxidredox Signal,2011,14(3): [14] HarisonCM,PompiliusM,PinkertonKE,etal.Mito chondrialoxidativestressignificantlyinfluencesathero genicriskandcytokine inducedoxidantproduction[j]. EnvironHealthPerspect,2011,119(5): [15]ChanSH,WuCA,WuKL,etal.Transcriptionalupregu lationofmitochondrialuncouplingprotein2protectsa gainstoxidativestres asociatedneurogenichypertension [J].CircRes,2009,105(9): [16] WidderJD,FraccaroloD,GaluppoP,etal.Atenuation ofangiotensin I inducedvasculardysfunctionandhyper tensionbyoverexpresionofthioredoxin2[j].hyperten sion,2009,54(2): [17] ChanSH,WuKL,ChangAY,etal.Oxidativeimpair mentofmitochondrialelectrontransportchaincomplexesin rostralventrolateralmedulacontributestoneurogenichy pertension[j].hypertension,2009,53(2): [18] WangS,LiR,FetermannA,etal.Maternalyinherited esentialhypertensionisasociatedwiththenovel4263a >GmutationinthemitochondrialtRNA Ile geneinalarge HanChinesefamily[J].CircRes,2011,108(7): [19]QiuQ,LiR,JiangP,etal.MitochondrialtRNAmuta tionsareasociatedwithmaternalyinheritedhypertension intwohanchinesepedigrees[j].hummutat,2012,33 (8): [20] PereliMG,PagliaroP,PennaC.Ischemia/reperfusion
7 370 injuryandcardioprotectivemechanisms:roleofmitochon driaandreactiveoxygenspecies[j].worldjcardiol, 2011,3(6): [21]CarpiA,MenabòR,KaludercicN,etal.Thecardiopro tectiveefectselicitedbyp66 Shc ablationdemonstratethe crucialroleofmitochondrialrosformationinischemia/ reperfusioninjury[j]. Biochim BiophysActa,2009, 1787(7): [22]AuroraAB,MahmoudAI,LuoX,etal.MicroRNA 214 protectsthemouseheartfrom ischemicinjurybycontrol lingca 2+ overloadandceldeath[j].jclininvest, 2012,122(4): [23] BopasaJC,EghbaliM,ToroL,etal.Anovelestrogen receptorgper inhibitsmitochondriapermeabilitytransi tionporeopeningandprotectstheheartagainstischemia reperfusioninjury[j].am JPhysiolHeartCircPhysiol, 2010,298(1):H16 H23. [24]LuN,SunY,ZhengX.Orientin inducedcardioprotection againstreperfusionisasociatedwithatenuationofmito chondrialpermeabilitytransition[j].plantamed,2011, 77(10): [25]OngSB,SubrayanS,LimSY,etal.Inhibitingmitochon drialfisionprotectstheheartagainstischemia/reperfusion injury[j].circulation,2010,121(18): [26]JavadovS,KarmazynM,EscobalesN.Mitochondrialper meabilitytransitionporeopeningasapromisingtherapeutic targetincardiacdiseases[j].jpharmacolexpther, 2009,330(3): [27]RoscaMG,VazquezEJ,KemerJ,etal.Cardiacmito chondriainheartfailure:decreaseinrespirasomesandox idativephosphorylation[j].cardiovascres,2008,80 (1): [28] LemieuxH,SemsrothS,AntreterH,etal.Mitochondrial respiratorycontrolandearlydefectsofoxidativephospho rylationinthefailinghumanheart[j].intjbiochemcel Biol,2011,43(12): [29] FaerberG,Bareto PereiaF,SchoepeM,etal.Induc tionofheartfailurebyminimalyinvasiveaorticconstric tioninmice:reducedperoxisomeproliferator activatedre ceptorγcoactivatorlevelsandmitochondrialdysfunction [J].JThoracCardiovascSurg,2011,141(2): ,500.e1. [30] KaramanlidisG,Bautista HernandezV,Fynn Thompson F,etal.Impairedmitochondrialbiogenesisprecedesheart failureinrightventricularhypertrophyincongenitalheart disease[j].circheartfail,2011,4(6): [31]% &,',,. b< 7 / L KL,2012, 28(8): [32](),* +,*,,,.HSP90 7 Akt()* >- IGF 1. E/7 KL,2012,28(10): 櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆櫆 ( 360 ) /$%& & A%7 9 # Rath [6] 7& %& RKIP 071 (pocket) Raf 1,- 7 N 2, ^ ERK 7,- RKIP ERK 9 7 _ N 7%&,"/ H _G RKIP ERK 9 7 = R 7 ^Q1N _ 7 => 7 H %&= _ D RKIP7 ], H7 > RKIP7 SJ,^ p ERK1/2_ D 7 H7 >QR, H RKIP 7] MN p ERK7 QR, 7 > [2 3 -] [1] YeungK,SeitzT,LiS,etal.SuppresionofRaf 1kinase activityandmapkinasesignalingbyrkip[j].nature, 1999,401(6749): [2] ToyodaM,SuzukiD,HonmaM,etal.Highexpresionof PKC MAPKpathwaymRNAscorelateswithglomerularle sionsin human diabeticnephropathy[j].kidneyint, 2004,66(3): [3] SakaiN,WadaT,FuruichiK,etal.Involvementofextra celularsignal regulatedkinaseandp38inhumandiabetic nephropathy[j].amjkidneydis,2005,45(1): [4] cc,,(,.erk1/2 9 _ 7 KL,2007, 23(9): [5] ZengL,ImamotoA,RosnerMR,etal.Rafkinaseinhibi toryprotein(rkip):aphysiologicalregulatorandfuture therapeutictarget[j].expertopinthertargets,2008,12 (10): [6] RathO,ParkS,TangHH,etal.TheRKIP(Raf 1Kinase InhibitorProtein)conservedpocketbindstothephospho rylatedn regionofraf 1andinhibitstheRaf 1 mediated activatedphosphorylationofmek[j].celsignal,2008, 20(5):
7.2 Similar Polygons. Geometry Mr. Peebles Spring 2013
7.2 Similar Polygons Geometry Mr. Peebles Spring 2013 Daily Learning Target (DLT) Monday February 25, 2013 I can understand, apply, and remember to identify similar polygons in real-life problems. Geometry
More informationSegments Proofs Reference
Segments Proofs Reference Properties of Equality Addition Property Subtraction Property Multiplication Property Division Property Distributive Property Reflexive Property The properties above may only
More information532 damazolgroupshrinked,glandularepitheliumbecamethinner,andthenumberoftheglandsdecreased.ectopicendome trialcelswereshot cylindricaleventabularwithi
)** ChineseJournalofPathophysiology 2013,29(3):532 536 531 [] 1000 4718(2013)03 0532 06!"#$%&' caspase 3 Bcl 2()*+,-. 1, 2, 3, 2, 2, 2,! 2, "#$ 2 ( 1 "#$%$%,& "# 314001; 2 $%' $%, 330004; 3 & (%)*,& "#
More informationTopic : Geometric Constructions- Congruence - Worksheet 1
Topic : Geometric Constructions- Congruence - Worksheet 1 triangle D'E'F'.If EF is represented by 4x-40 and E'F' is represented by 3x-15,find Polygon STUV is congruent to polygon S'T'U'V'.If the value
More informationRatios, Proportions, and Similarity
Ratios, Proportions, and Similarity A ratio is a comparison of two values by division. The ratio of two quantities, a and b, can be written in three ways: a to b, a:b, or a b (where b 0). A statement that
More informationUsing the Properties of Equality
8.1 Algebraic Proofs (G.CO.9) Properties of Equality Property Addition Property of Equality Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality Distributive
More informationGEOMETRY SPRING SEMESTER FINALS REVIEW PACKET
Name Date Class GEOMETRY SPRING SEMESTER FINALS REVIEW PACKET For 1 2, use the graph. 6. State the converse of the statement. Then determine whether the converse is true. Explain. If two angles are vertical
More informationFIVE YEARS OLD. P r o f e s s o r ikobbins B. Stoeckei ol is s h o w n b y the J u n e 1 pig c r o p
/ K j Y- Y -K Y X Y K K Y Y 5 9-7 j < - 8 X Y Z Q X 9 K Y - K Y X K Y Z Y - x - - - - x - - - - 5 -j - - x K K j 9 x - - q z K K - - K & -«x x - q j? x z Q - 8 - x q - - 5 - K K Q Y - - x \ - x j Y 5 x
More informationDay 116 Bellringer. 1. Use the triangle below to answer the questions that follow.
Day 116 Bellringer 1. Use the triangle below to answer the questions that follow. 3 in 5 in 4 in a) Find the area of the triangle. b) Find the perimeter of the triangle. 2. Use the distance formula to
More information1. If ABC DEF, then A? and BC?. D. EF 2. What is the distance between (3, 4) and ( 1, 5)? 17
Warm Up 1. If ABC DEF, then A? and BC?. D EF 2. What is the distance between (3, 4) and ( 1, 5)? 17 3. If 1 2, why is a b? Converse of Alternate Interior Angles Theorem 4. List methods used to prove two
More informationName Class Date. Find corresponding parts using the order of the letters in the names.
4-1 Reteaching Congruent Figures Given ABCD QRST, find corresponding parts using the names. Order matters. For example, This shows that A corresponds to Q. Therefore, A Q. For example, This shows that
More information4-7 Study Guide and Intervention Congruence Transformations
4-7 Study Guide and Intervention Congruence Transformations Identify Congruence Transformations A congruence transformation is a transformation where the original figure, or preimage, and the transformed
More informationP6SPro Instruction. Ⅰ:APP Download... 2 Ⅱ:Device Addition and Edit... 3 Ⅲ:PVR Quick Add IPC... 7 Ⅳ:Preview& Playback... 9 Ⅴ:Others...
P6SPro Instruction Ⅰ:APP Download... 2 Ⅱ:Device Addition and Edit... 3 Ⅲ:PVR Quick Add IPC... 7 Ⅳ:Preview& Playback... 9 Ⅴ:Others... 10 Ⅰ APP Download 1.Scan below QR code to download APP:both Android
More information6-1 Study Guide and Intervention Angles of Polygons
6-1 Study Guide and Intervention Angles of Polygons Polygon Interior Angles Sum The segments that connect the nonconsecutive vertices of a polygon are called diagonals. Drawing all of the diagonals from
More informationReteach. Congruence and Transformations
Congruence and Transformations TYPES OF TRANSFORMATIONS (centered at (0, 0)) Translation (slide): (x, y) (x a, y b) Reflection y-axis: (x, y) ( x, y) x-axis: (x, y) (x, y) Rotation 90 clockwise: (x, y)
More informationL#F!";<=!"#$%&'()*+,-./0 1!"2, :!"; <= "!NDO,.!"?,G!"LP.QR STLG U!";# VWX YF, >?RSY 5X 0,A/G!";() ZFF[\]^_`ab,$cG Q
!"!"# "!"#$%&' ()*+,- X"YK2ZK[ Y \] ^ "_`K Y \] a. /0b+cM1- ( U #X )*+, # )*+ # )*+ - #- )*+..M00;FG#9 ]M0X### U # U#9 # BUM0;?1-FG# # ;#?1Xa/*011 11Xa/+ 1 EXaEXa?1EXa # #?1P#9 -'']RM0M0?1R;9 ]M00;3- :FG
More informationDO NOW Geometry Regents Lomac Date. due. Similar by Transformation Construction
DO NOW Geometry Regents Lomac 2014-2015 Date. due. Similar by Transformation Construction (DN) What defines a similarity transformation? Name Per LO: I can construct a similarity transformation. (1) compass,
More information4-7 Triangle Congruence: CPCTC
4-7 Triangle Congruence: CPCTC Warm Up Lesson Presentation Lesson Quiz Holt Geometry McDougal Geometry Warm Up 1. If ABC DEF, then A? and BC?. D EF 2. What is the distance between (3, 4) and ( 1, 5)? 17
More informationUser s Guide Bluetooth Inductive Loopset LP-5
User s Guide Bluetooth Inductive Loopset LP-5-1 - Specifications Ⅰ. Bluetooth Inductive Loopset LP-5 Bluetooth Standard: Operating Frequency Range: Bluetooth Profiles Support: Transmitting Power: Receiving
More information7-4 Applying Properties of Similar Triangles 7-4. Warm Up Lesson Presentation Lesson Quiz. Holt McDougal Geometry
7-4 Applying Properties of Similar Triangles Warm Up Lesson Presentation Lesson Quiz Geometry Warm Up Solve each proportion. 1. AB = 16 2. QR = 10.5 3. x = 21 4. y = 8 Objectives Use properties of similar
More informationCongruence. Department of Mathematics Education Faculty of Mathematics and Science YSU 2014
Congruence Department of Mathematics Education Faculty of Mathematics and Science YSU 2014 Congruent Polygons Congruency Identify Congruent Figure Identify Congruent Figure Naming & Comparing Polygons
More informationVAISHALI EDUCATION POINT (QUALITY EDUCATION PROVIDER)
BY PROF. RAHUL MISHRA VAISHALI EDUCATION POINT (QUALITY EDUCATION PROVIDER) CONSTRUCTIONS Class :- X Subject :- Maths Total Time :- SET A Total Marks :- 240 QNo. General Instructions Questions 1 Divide
More informationName Date Class. MM', and NN' on the graph for Problem 2, where would the lines intersect? (, ) This point is called the
Practice and Problem Solving: A/B For Problems 1 and 2, apply the dilation D to the polygon with the given vertices. Name the coordinates of the image points, and plot the pre-image and the image. Tell
More information2.5. Verifying Properties of Geometric Figures. LEARN ABOUT the Math. Proving a conjecture about a geometric figure
.5 Verifing Properties of Geometric Figures YOU WILL NEED grid paper and ruler, or dnamic geometr software P( 7, 9) Q(9, ) J - - M - R(9, ) - - - L - - S(, ) K GOAL Use analtic geometr to verif properties
More information1.3. Similar Triangles. Investigate Properties of Similar Triangles
1.3 Similar Triangles The Great Hall of the National Gallery of Canada in Ottawa has an impressive glass ceiling. The design of the Great Hall is intended to mimic the design of the nearby Library of Parliament.
More informationDownloaded from pnmag.info at 15: on Friday February 22nd 2019
1 /-..!"# $" %#& ' ()# *+ 2 9:0% 0;" 0 30 0( 0* 280' 0'# 0 1 2 3 45 67 90( 0 0 $' >*?': @" # ' =#. 2.. 1&
More informationHiding Tasks via Hardware Task Switching
Hiding Tasks via Hardware Task Switching [Kyeong Joo Jung Ajae.dll] This research was funded by the MSIT, Korea, under the "ICT Consilience Creative Program" (IITP-2017-R0346-16-1007) supervised by the
More informationThursday, May 11, Funds and what they may do i o r you. Phone or write today.. DONALD A. BURLESON, Representative
96 6 b b K k b b b b k k b b b b b Q K k k k b 3 $6 b K $ b k 6 9 9 3 3 389 3977 b k k z! k b 7 b b " " :? q q b bb j k b 96 5 3 8 ; "! ( 496) 3879 " j b b j k bb b " " k k b b b 9 6 9 6 5 : k k b b b
More informationGEOMETRY SPRING SEMESTER FINALS REVIEW PACKET
NAME DATE PER: GEOMETRY SPRING SEMESTER FINALS REVIEW PACKET For 1 2, use the graph. 6. State the converse of the statement. Then determine whether the converse is true. Eplain. If two angles are vertical
More informationSquares and Rectangles
Lesson.1 Skills Practice Name Date Squares and Rectangles Properties of Squares and Rectangles Vocabulary Define the term in your own words. 1. Explain the Perpendicular/Parallel Line Theorem in your own
More informationCD _. _. 'p ~~M CD, CD~~~~V. C ~'* Co ~~~~~~~~~~~~- CD / X. pd.0 & CD. On 0 CDC _ C _- CD C P O ttic 2 _. OCt CD CD (IQ. q"3. 3 > n)1t.
n 5 L n q"3 +, / X g ( E 4 11 " ') $ n 4 ) w Z$ > _ X ~'* ) i 1 _ /3 L 2 _ L 4 : 5 n W 9 U~~~~~~ 5 T f V ~~~~~~~~~~~~ (Q ' ~~M 3 > n)1 % ~~~~V v,~~ _ + d V)m X LA) z~~11 4 _ N cc ', f 'd 4 5 L L " V +,
More informationFigure 6. Genotypes of (C) are: gmr-gal4 (gmr-gal4/+), gmr>erk (gmr-gal4 UAS-
Supplementary Information 1. Genotypes Figure 3. Genotypes are: WT (w 1118, A, C), RSK D1 (RSK D1 /Y, B, D), RSK D1 ; da>rsk WT (RSK D1 /Y; UAS-RSK WT /+; da-gal4/+, E), e16e-gal4 (e16e-gal4/+, G), e16e>rsk
More informationDownloaded from on Saturday, April 05, 2014 ' " % # 1 ^% )#-C _F % V $% : 2,L
+% *% : '(, #$%!" 5, 6 " 70 8 49 4, 5 23!1,,-. /0 %& $,!" #, :2,>< = :;,< ' " ' " %& $,!" #,,#-( )*+ & :63? 6'@A,< ' " %& $,!" #, :B,0,< $,!" #,,./ 01 : 6
More information!! G2$'! S #! +. &4*5 6/' 6)&7!2 &#.! 01 < >0 MN K > 8 ' OV! > 1'./0E,- > ' M " ( A ; $ ( A ; 1 A $ ( AV 'T 9^ 98, 9 ` 9< NO T _ 4' NO 45 J& 9./0 KL >
G2$'! S #! +. &4*5 6/' 6)&7!2 &#.!! : ; 9 ?@ABCD ++: ; 9 E 9 : ; FGHIJ: K L M N O 1,- N O 1.,- 1 1 /-0: < 1,/01PQ RSTU&V!J; K L MW?XY XYW? 9 W Z Z [\ ]^W? : ; 9_` Mabc XY,, < 1 W? < 0 0NO W? Z,, Q?
More informationEuclidean geometry deals mainly with points and straight lines. Its basic transformation is
1. Inversion 1.1 Introduction Euclidean geometry deals mainly with points and straight lines. Its basic transformation is the reflection, which leaves fixed all the points on one line and interchanges
More informationGeometry Regular Midterm Exam Review (Chapter 1, 2, 3, 4, 7, 9)
Geometry Regular Midterm Exam Review (Chapter 1, 2, 3, 4, 7, 9) Name: Date: Mod: Use the figure at the right for #1-4 1. What is another name for plane P? A. plane AE B. plane A C. plane BAD D. plane BAC
More informationTRIANGLE RELATIONSHIPS Chapter 5 Unit 7. Geometry- Rushing. Name. Hour
TRIANGLE RELATIONSHIPS Chapter 5 Unit 7 Geometry- Rushing Name Hour 0 I can 5.1 Bisectors of Triangles 1. Identify and use perpendicular bisectors in triangles. 2. Identify and use angle bisectors in triangles.
More informationIf the points on the coordinate plane below are the three vertices of a rectangle;
Polygons in the Coordinate Plane - Step-by-Step Lesson If the points on the coordinate plane below are the three vertices of a rectangle; What are the coordinates of the fourth vertex? How do you know?
More informationUser s Manual. Pan and Tilt Chimney Inspection Camera. Model No.: SD-1050I. Please read this manual carefully before using this product!
User s Manual _ Pan and Tilt Chimney Inspection Camera Model No.: SD-1050I Please read this manual carefully before using this product! 1 Welcome Thank you for choosing our Pan and Tilt Chimney Inspection
More informationPractice A. Solving Right Triangles. sin. cos A 5. tan 2
Name Date Class Solving Right Triangles In Exercises 1 3, fill in the blanks to complete the description of the inverse trigonometric ratios. 1. If sin A = x, then sin 1 x =. 2. If cos A =, then cos 1
More informationWorksheets for GCSE Mathematics. Trigonometry. Mr Black's Maths Resources for Teachers GCSE 1-9. Shape
Worksheets for GCSE Mathematics Trigonometry Mr Black's Maths Resources for Teachers GCSE 1-9 Shape Pythagoras Theorem & Trigonometry Worksheets Contents Differentiated Independent Learning Worksheets
More informationSection 4-1 Congruent Figures. Objectives: recognize congruent figures and their corresponding parts
Section 4-1 Congruent Figures Objectives: recognize congruent figures and their corresponding parts Congruent Polygons Congruent Polygons have congruent corresponding parts Congruent sides Congruent Angles
More informationSimilar Figures and Proportions
Practice A Similar Figures and Proportions Identify the corresponding sides. 1. AB corresponds to. 2. BC corresponds to. 3. AC corresponds to. Identify the corresponding sides. Then use ratios to determine
More informationRADIO MODULE FOR NRF24L01
RADIO MODULE FOR NRF24L01 Ⅰ. MODULE FEATURES: I2C (TWI) communication protocol is used, which simplifies the NRF24L01 communication process greatly, thus users no need to understand the tedious communication
More informationC 30D C 5W ; E ARID ZONE RESEARCH Vol.30 No.5 Sept.2013 Nino , 2, 3 (1., ;2., ;3., )!:!"# $%&' &' ()* +,- (./0)*1 23
C 30D C 5W 2013 9; E ARID ZONE RESEARCH Vol.30 No.5 Sept.2013 Nino3.4 1 2 1 1, 2, 3 (1., 750002;2., 750002;3., 730020)!:!"# $%&' &'()* +,- (./0)*1 234 56, 78 9:# 1 2; < 34.=> 56,!"561?@AB 7 C19:DE, F1GH
More informationLionbridge ondemand for Adobe Experience Manager
Lionbridge ondemand for Adobe Experience Manager Version 1.1.0 Configuration Guide October 24, 2017 Copyright Copyright 2017 Lionbridge Technologies, Inc. All rights reserved. Published in the USA. March,
More informationUNIT 9: POLYGONS AND QUADRILATERALS
Name: Period GL UNIT 9: POLYGONS AND QUADRILATERALS I can define, identify and illustrate the following terms: Polygon Regular Polygon Irregular Polygon Concave Convex Quadrilateral Pentagon Monday, 1/28
More informationMaharashtra Board Class VIII Mathematics Sample Paper 1 Solution
Maharashtra Board Class VIII Mathematics Sample Paper Solution Time: hrs Total Marks: 6 SECTION A. Correct Answer: (A) A quadrilateral with opposite sides parallel is called a parallelogram.. Correct Answer:
More informationName of Lecturer: Mr. J.Agius. Lesson 46. Chapter 9: Angles and Shapes
Lesson 46 Chapter 9: Angles and Shapes Quadrilaterals A quadrilateral is any four-sided shape. Any quadrilateral can be split up into two triangles by drawing in a diagonal, like this: The sum of the four
More informationGeometry Fundamentals Midterm Exam Review Name: (Chapter 1, 2, 3, 4, 7, 12)
Geometry Fundamentals Midterm Exam Review Name: (Chapter 1, 2, 3, 4, 7, 12) Date: Mod: Use the figure at the right for #1-4 1. What is another name for plane P? A. plane AE B. plane A C. plane BAD D. plane
More informationUnit 5 Triangle Congruence
Unit 5 Triangle Congruence Day Classwork Homework Wednesday 10/25 Unit 4 Test D1 - Proving SAS through Rigid Motions Watch Video Thursday 10/26 Friday 10/27 Monday 10/30 Proving SAS through Rigid Motions
More informationCHAPTER 7. Think & Discuss (p. 393) m Z m Z m Z 90 QR 2 RP 2 PQ 2 QR QR QR AB QR 7.
HPTER 7 Think & Discuss (p. 393). The image in bo is flipped to get the image in bo. The image in bo is turned to get the image in bo D.. Sample answer: If ou look at the picture as a whole, the right
More informationCopyright 2014 Edmentum - All rights reserved.
Copyright 2014 Edmentum - All rights reserved. Geometry Trigonometry Blizzard Bag 2014-2015 1. Triangle EFG is similar to HJI. If e = 5.2 cm, f = 5.8 cm, g = 4 cm, and h = 10.4 cm, what is the measure
More informationa) Triangle KJF is scalene. b) Triangle KJF is not isosoceles. c) Triangle KJF is a right triangle. d) Triangle KJF is not equiangular.
Geometry Unit 2 Exam Review Name: 1. Triangles ABC and PQR are congruent. Which statement about the triangles is true? a) A R b) C R c) AB RQ d) CB PQ 2. Which figure contains two congruent triangles?
More informationProving Properties of a Parallelogram
Eplain Proving Properties of a Parallelogram You have alread used the Distance Formula and the Midpoint Formula in coordinate proofs As ou will see, slope is useful in coordinate proofs whenever ou need
More information2 keys Touch Pad Detector IC
2 keys Touch Pad Detector IC Outline The TonTouch TM IC is capacitive sensing design specifically for touch pad controls. The device built in regulator for touch sensor. Stable sensing method can cover
More informationadorn frames about with personality, along with classic straight edges to form rectangles and squares. Adorn Frames lauraworthingtontype.
adorn frames about Q Adorn Frames Adorn Frames is a highly customizable set of elements offering a multitude of approaches to creating frames of any width, height, and style. Use it for corner elements,
More informationParallelization for Multi-dimensional Loops with Non-uniform Dependences
Parallelization for Multi-dimensional Loops with Non-uniform Dependences Sam-Jin Jeong Abstract This paper presents two enhanced partitioning algorithms in order to improve parallelization of multidimensional
More information8.1 Day 1 Warmup. Solve each equation. 1. 4x + 5x + 6x = (x 5) 2 = 81. in simplest form. 3. Write 16
8.1 Day 1 Warmup Solve each equation. 1. 4x + 5x + 6x = 180 2. (x 5) 2 = 81 3. Write 16 24 in simplest form. 4. If QRS ZYX, identify the pairs of congruent angles and the pairs of congruent sides. February
More informationChapter 5 & 6 Final Review
Name Date Chapter 5 & 6 Final Review Identify each statement as either true (T) or false (F) by circling the correct choice. 1) T F Every point on a median in a triangle is equally distant from the sides
More informationIntersection of planar figures. Intersection of a parallelogram and a triangle
Intersection of planar figures Intersection of a parallelogram and a triangle Exercise. Given a parallelogram ABCD and a triangle P QR. Construct the intersection of the two figures. First, we consider
More informationPre-AP Geometry 7-1 Study Guide: Ratios in Similar Polygons (pp ) Page! 1 of! 9
Page! 1 of! 9 Attendance Problems. 1. If! VQRS VZYX, identify the pairs of congruent angles and the pairs of congruent sides. Solve each proportion. 2 2.! 3.! x 3 = 8 3x 3 x 6 42 = 2x 14 77 I can identify
More information8.1 Day 1 Warmup. Solve each equation. 1. 4x + 5x + 6x = (x 5) 2 = 81. in simplest form. 3. Write 16
8.1 Day 1 Warmup Solve each equation. 1. 4x + 5x + 6x = 180 2. (x 5) 2 = 81 3. Write 16 24 in simplest form. 4. If QRS ZYX, identify the pairs of congruent angles and the pairs of congruent sides. February
More informationClass IX Chapter 11 Constructions Maths
1 Class IX Chapter 11 Constructions Maths 1: Exercise 11.1 Question Construct an angle of 90 at the initial point of a given ray and justify the construction. Answer: The below given steps will be followed
More information46 Congruence of Triangles
46 Congruence of Triangles Two triangles are congruent if one can be moved on top of the other, so that edges and vertices coincide. The corresponding sides have the same lengths, and corresponding angles
More information10Gbps SFP + 2core (10km)
10Gbps SFP + 2core (10km) P31-64D10-RLP Features Hot-pluggable SFP+ footprint Supports 9.95Gbps to 10.5Gbps 10km transmission distance Uncooled 1310nm DFB Laser InGaAs PIN-TIA PD receiver Compliant with
More informationMATH II SPRING SEMESTER FINALS REVIEW PACKET
Name Date Class MATH II SPRING SEMESTER FINALS REVIEW PACKET For 1 2, use the graph. 6. State the converse of the statement. Then determine whether the converse is true. Explain. If two angles are vertical
More information6-3 Conditions for Parallelograms
6-3 Conditions for Parallelograms Warm Up Lesson Presentation Lesson Quiz Geometry Warm Up Justify each statement. 1. 2. Reflex Prop. of Conv. of Alt. Int. s Thm. Evaluate each expression for x = 12 and
More informationDELTA LED HIGH BAY LIGHT
DELTA LED HIGH BAY LIGHT Easy Interchangeable System Corrosion Resistant Robust, Protective Design Optimal Optical Design Quality Core Component Complies with Multinational Certifications Our patent Plug
More informationCongruent Triangles. The flag of the United Kingdom is shown below. Consider the four large triangles appearing on the top and the bottom of the flag.
Congruent Triangles Why? Then You identified triangles with congruent sides. (Lesson 9-3) The flag of the United Kingdom is shown below. Consider the four large triangles appearing on the top and the bottom
More informationDELTA LED HIGH BAY LIGHT
DELTA LED HIGH BAY LIGHT Easy Interchangeable System Corrosion Resistant Robust, Protective Design Optimal Optical Design Quality Core Component Complies with Multinational Certifications Our patent Plug
More informationChapter 2 Diagnostic Test
Chapter Diagnostic Test STUDENT BOOK PAGES 68 7. Calculate each unknown side length. Round to two decimal places, if necessary. a) b). Solve each equation. Round to one decimal place, if necessary. a)
More informationof Triangles Warm Up Lesson Presentation Lesson Quiz Holt McDougal Geometry
5-3 Medians Medians and and 6-3 Altitudes Altitudes of Triangles of Triangles Warm Up Lesson Presentation Lesson Quiz Geometry Warm Up 1. What is the name of the point where the angle bisectors of a triangle
More informationClass 9 Herons Formula
ID : in-9-herons-formula [1] Class 9 Herons Formula For more such worksheets visit www.edugain.com Answer the questions (1) An umbrella is made by stitching 11 triangular pieces of cloth each piece measuring
More informationMaharashtra Board Class IX Mathematics (Geometry) Sample Paper 1 Solution
Maharashtra Board Class IX Mathematics (Geometry) Sample Paper 1 Solution Time: hours Total Marks: 40 Note: (1) All questions are compulsory. () Use of a calculator is not allowed. 1. i. In the two triangles
More informationQUADRILATERALS MODULE - 3 OBJECTIVES. Quadrilaterals. Geometry. Notes
13 QUADRILATERALS If you look around, you will find many objects bounded by four line-segments. Any surface of a book, window door, some parts of window-grill, slice of bread, the floor of your room are
More informationComplete Unit 1 Package
Complete Unit 1 Package HighSchoolMathTeachers.com 2018 Table of Contents Unit 1 Pacing Chart -------------------------------------------------------------------------------------------- 1 Geometry Unit
More informationName: Unit 7 Beaumont Middle School 8th Grade, Introduction to Algebra
Unit 7 Beaumont Middle School 8th Grade, 2015-2016 Introduction to Algebra Name: I can recognize and create reflections on a coordinate grid. I can recognize and create translations on a coordinate grid.
More informationName: Target 4 Perform compositions of figures to determine the coordinates and location of the image
Unit 8 Similarity Figures and Dilations Target 1 Use proportions to identify lengths of corresponding parts in similar figures Target 2 Perform and identify dilations Target 3 Use ratios of lengths, perimeter,
More informationRecent Research Results. Evolutionary Trees Distance Methods
Recent Research Results Evolutionary Trees Distance Methods Indo-European Languages After Tandy Warnow What is the purpose? Understand evolutionary history (relationship between species). Uderstand how
More informationChapter 6 Review. Find MG and NG. In Exercises 1 4, find the indicated measure. State how you know. 1. AD 2. GJ. 3. PQ 4. m
Name Date Chapter 6 Review In Exercises 1 4, find the indicated measure. State how you know. 1. AD 2. GJ 3. PQ 4. m DGF 5.In the figure at the right, what value of x makes G the incenter of JKL? 6. LG
More informationREVIEW: Find the value of the variable and the measures of all of the angles
Name: Period: Geometry Honors Unit 3: Congruency Homework Section 3.1: Congruent Figures Can you conclude that the triangles are congruent? Justify your answer. 1. ΔGHJ and ΔIHJ 2. ΔQRS and ΔTVS 3. ΔFGH
More informationManaging Voice Services VoiceCon March 7, Brian Gollaher Director, Product Management CA, Inc.
Managing Voice Services VoiceCon March 7, 2007 Brian Gollaher Director, Product Management CA, Inc. What is Voice Management? Service Availability Management Network Management - Network Fault & Performance
More information2.1 Length of a Line Segment
.1 Length of a Line Segment MATHPOWER TM 10 Ontario Edition pp. 66 7 To find the length of a line segment joining ( 1 y 1 ) and ( y ) use the formula l= ( ) + ( y y ). 1 1 Name An equation of the circle
More informationAnimating orientation. CS 448D: Character Animation Prof. Vladlen Koltun Stanford University
Animating orientation CS 448D: Character Animation Prof. Vladlen Koltun Stanford University Orientation in the plane θ (cos θ, sin θ) ) R θ ( x y = sin θ ( cos θ sin θ )( x y ) cos θ Refresher: Homogenous
More information2. Find the distance between points P(7, 4) and Q(1, 2) to the nearest tenth.
Permitted resources: 2016 2017 Geometry Midterm Review FSA Approved calculator Geometry FSA Reference Sheet 1. Rectangle ABCD is shown below. Find the midpoint of diagonal AC. 2. Find the distance between
More informationReteach. Understanding Points, Lines, and Planes. P point P
Name Date Class 1-1 Understanding Points, Lines, and Planes A point has no size. It is named using a capital letter. All the figures below contain points. line Figure Characteristics Diagram Words and
More informationCSE 105 THEORY OF COMPUTATION
CSE 105 THEORY OF COMPUTATION Spring 2018 http://cseweb.ucsd.edu/classes/sp18/cse105-ab/ Today's learning goals Sipser Section 2.2 Define push-down automata informally and formally Trace the computation
More informationButterflies, Pinwheels, and Wallpaper
Butterflies, Pinwheels, and Wallpaper Day Topic Homework IXL Grade 1 Inv 1.1 Inv 1/ACE # 1-6 2 Inv 1.2 Inv 1/ACE # 19-20 3 Inv 1.3 Inv 1/ACE # 8-12 (all part a only!) 4 Inv 1.4 Inv 1/ACE # 14-17, 30-34,
More informationAnalytical Solid Geometry
Analytical Solid Geometry Distance formula(without proof) Division Formula Direction cosines Direction ratios Planes Straight lines Books Higher Engineering Mathematics by B S Grewal Higher Engineering
More informationUNIT-1 SECTION ----A ( 1 mark each )
UNIT-1 SECTION ----A ( 1 mark each ) 1. Which is the negative rational number? (a) 0 (b)-3/- 4 (c)1/2 (d) -4/9 2. Which is the equivalent fraction of? (a) 12/20 (b) 6/10 (c)16/24 (d)-2/5. 3. The absolute
More informationYou can use theorems about the interior and exterior angles of convex polygons to solve problems.
8 Big Idea CATER SUMMARY BI IDEAS Using Angle Relationships in olygons You can use theorems about the interior and exterior angles of convex polygons to solve problems. or Your Notebook olygon Interior
More informationBelievethatyoucandoitandyouar. ngascannotdoonlynotyetbelieve. Mathematics. thatyoucandoitandyouarehalfw. Stage 3
Believethatyoucandoitandyouar ehalfwaytherethereisnosuchthi ngascannotdoonlynotyetbelieve Mathematics thatyoucandoitandyouarehalfw Stage 3 aytherethereisnosuchthingasca Shape & Space nnotdoonlynotyetbelievethatyo
More informationCS6201-DIGITAL PRINCIPLE AND SYSTEM DESIGN I YEAR/II SEM PART-B UNIT-I BOOLEAN ALGEBRA AND LOGIC GATES.
CS6201-DIGITAL PRINCIPLE AND SYSTEM DESIGN I YEAR/II SEM PART-B UNIT-I BOOLEAN ALGEBRA AND LOGIC GATES. 1) Simplify the boolean function using tabulation method. F = (0, 1, 2, 8, 10, 11, 14, 15) List all
More informationButterflies, Pinwheels, and Wallpaper
Butterflies, Pinwheels, and Wallpaper Day Topic Homework Grade 1 Intro Day start work on notes, vocab, and ACE questions 2 Inv 1/ACE # 1-6, 8-12, 14-17, 19-20, 30-34, 36a, 37a due by Friday 1/9 at 3:15
More informationA ray is a part of a line that starts at an endpoint and extends infinitely in one direction.
Angles A ray is a part of a line that starts at an endpoint and extends infinitely in one direction. A ray is named by its endpoint and any other point on the ray. For example, the ray in the diagram is
More informationModel checking for studying timing in T cell differentiation
Model checking for studying timing in T cell differentiation Natasa Miskov- Zivanov University of Pi4sburgh, School of Medicine November 20, 2013 CMACS PI mee4ng Tumor cell Tumor secreted cytokines (e.g.,
More informationCoordinate Geometry. Coordinate geometry is the study of the relationships between points on the Cartesian plane
Coordinate Geometry Coordinate geometry is the study of the relationships between points on the Cartesian plane What we will explore in this tutorial (a) Explore gradient I. Identify the gradient of a
More informationChapter 4 Unit 6 SPRING GEOMETRY Name Hour
CONGRUENT TRIANGLES Chapter 4 Unit 6 SPRING 2019 GEOMETRY Name Hour Geometry Classifying Triangles 4.1 Objectives: Triangles can be classified by their and/or their. 1) classify triangles by their angle
More informationIf a point is equidistant from the endpoints of a segment, then it is on the bisector of the segment. -Find AB. - Find WY
Formal Geometry - Chapter 5 Notes Name: 5.1 Identify and use perpendicular bisectors and angle bisectors in triangles. - Sketch a perpendicular bisector to segment AB - Put point C anywhere on the perpendicular
More information