532 damazolgroupshrinked,glandularepitheliumbecamethinner,andthenumberoftheglandsdecreased.ectopicendome trialcelswereshot cylindricaleventabularwithi
|
|
- Sydney Mason
- 6 years ago
- Views:
Transcription
1 )** ChineseJournalofPathophysiology 2013,29(3): [] (2013) !"#$%&' caspase 3 Bcl 2()*+,-. 1, 2, 3, 2, 2, 2,! 2, "#$ 2 ( 1 "#$%$%,& "# ; 2 $%' $%, ; 3 & (%)*,& "# ) [/ 0],:+,-./01. 2(EMT) :$; caspase 3 Bcl 2 <=>?,@A-./BC EMT= DE0 1 :D. -0 EMT3 4 F,G EMT34HEIJ FK <LMBCK -./BC 1K -./BC 2K,NO 4, K FK ) P3Q,RD HEST UVWX Y K FK 569: = D K Z K caspase 3 Bcl 2 = <[\ :-./BCK, P] ^_Q(P<0.01),) `a]bc0 a], ;56, 78, a]; -./K <LMK6 _,,6 _, ST, ;56 78Q 9 ;, K ], FK Bcl 2 < ;-./K 56 caspase 3 < (P<0.01), Bcl 2 < (P<0.05) :-./ 34 EMT a]= c0 D, DE / 56= caspase Bcl 2 EMT= <, 56=78, E0 [ 2]. 2;-./;5678 [3456] R711 [789:] A doi: /j.isn EfectofFugongningonmorphologyandproteinexpresionofcaspase 3 andbcl 2inratendometrioticcels HUANGYue yan 1,XIAOChun 2,YINMan xiang 3,LIUChun hua 2,QIAOYu dan 2,SHI Min 2,WANGXiao min 2,XUYou hui 2 ( 1 JiaxingUniversityColegeofMedicine,Jiaxing314001,China; 2 SchoolofBasicMedicalSciences,JiangxiUniversityof TraditionalChineseMedicine,Nanchang330004,China; 3 DepartmentofPathology,ZhejiangProvincialCorpsHospital, ChinesePeople sarmedpoliceforce,jiaxing314000,china.e mail:hyylinda@163.com) [ABSTRACT] AIM:ToinvestigatetheefectofFugongning(FGN)ontreatingendometriosis(EMT)byobserv ingthechangesofhistopathologicalmorphologyandultrastructure,andtheexpresionofcaspase 3andBcl 2inanendom etrioticratmodel.methods:theratmodelofemtwasestablishedbyautotransplantationofendometrium,andthe modelratswererandomlydividedinto4groups:emtgroup,danazolgroup,fgn1groupandfgn2group.theratswere treatedwithnormalsalineinemtgroup,danazolindanazolgroupanddiferentdosesoffgninfgn1groupandfgn2 groupbyintragastricadministrationfor4weeks.after4weeksoftreatment,thesizeofthelesionandhistopathological morphologyofectopicendometrialtisueswereobservedundertransmisionelectronmicroscope.usingimmunohistochemis trymethod,theproteinexpresionofcaspase 3andBcl 2inendometriumandendometriotictisueswasdetermined.RE SULTS:ThesizeoftransplantedobjectinFGNtreatmentgroupswasmuchsmalerthanthatincontrolgroup,andthe growthoffocuswasinhibited.undertheelectronmicroscope,theectopicendometrialtisuesinfgntreatmentgroupsand [] [ ] [ ] (No )! Tel: ;E mail:hyylinda@163.com
2 532 damazolgroupshrinked,glandularepitheliumbecamethinner,andthenumberoftheglandsdecreased.ectopicendome trialcelswereshot cylindricaleventabularwithincompactarangement,andapoptosisandinterstitialfibrosiswere observed.eutopicendometriadidn tshowanypathologicalchanges.besides,mitochondrionswelingandlow,disappearedor vacuolatedmitochondrialcristainectopicendometrialcelswereobserved.immunohistochemistryresultsshowedthathigher expresionofbcl 2proteininectopicendometrialtisueinEMTgroupwasobserved.Theproteinlevelofcaspase 3intheec topicendometrialcelsinfgntreatmentgroupsincreased,whiletheproteinexpresionofbcl 2decreased,thuspromoting theapoptosisoftheectopicendometrialcels.conclusion:fgninhibitstheproliferationofectopicendometriumby inducingtheapoptosisofendometrioticcelsthroughactivatingcaspaseactivityandreducingbcl 2expresioninthecels. [KEYWORDS] Endometriosis;Fugongning;Apoptosis. 2(endometriosis,EMT) ), ) [1] EMT= ) )E0, BC = $BC) YJ, Da],-, J! b BC. 2P =!"# [2 4] -./ %!BC 2="#Z, $ % & ', # R D HEST UVWX Y K Z -. / #K 569: 78 <=, FK <LMBCK,(78= ),@A-./01= D E0 ; 1 1 < -./01*+, -Y./ " ml8 2g, g/kg 2.0g/kg <LM (danazol):;: 0<,=>?@J ,DAB5C 7 ml8:; 25mg Caspase 3 Bcl 2D E Y 2 =>?@ A FGH SD34,50I, (200±50)g,* 3$ #JK6L, $%)* #MN # #JO 15d,73 PQ, 34J[ R S 3T J[ R=J[R,RD. [5] U V EMT34 F 1%W XY,.,Z[\].)^`_ 1cm,`a ab cy G =. K 0.5cm 0.5cm 0.5cm3Q=, c \]., c Z Y JI, 3 5B C 4 " =34 40 I,HEIJ 4K, :-./BC 1K -./BC 2K,<LMBCK FK,7K 10I -. / 1K 2KI 1.0g kg -1 d g kg -1 d -1,<LMK 100mg kg -1 d -1, FK 4 9* NO 4 4 DE SZKFD,PH140AF /,LXJ 64 01F KE,SZ 93F J 5A B,BX 41F $] X,Q550CW R I 4 5 8, D 24h,, [ ),I K ].^( )1cm J, 10% 2 5%W D ( ) ) : 3, =Q, 9 =;, 1T, K % 9, I 1T TQ 9 P(` ), mm 3 2.5%W =K D 0 ZQ,UV WX. 56=78[\ 6 #$ F$&' HEGH IJ 48h," 5 Ua ZQ(Q 3~4μm) 5,HEST 7 KLBM 5NOM caspase 3 Bcl 2(),*+ G ZQ, ` K ST,RD SP ST,DAB]T :RD H score [6],* )* STE = ZQ,7 ZQHE 5T ( 400) K = 56, ST ( 6 / 6 1T)=56
3 533 I I <5%= 56, 0I;5% ~ 10%=56, 1I;11% ~50%=56, 2I;>50%=56, 3I 56 T 56 =ST(1T)J T, 3I; 1TJ, 1I;! =1 TJ4 T, 2I G 56I I ST I,J K PI(,! I = E ) 8 D SPSS13.0 `* E ±!(mean±sd),k E RD "Z!I SNK q##,rd Spearman4$ I ## caspase 3 Bcl 2 <=, P <0.05J! $%& T ) 9 =. / a], 56 56E 0_, 3 Figure1. Endometrialtisuesinmodelgroup(HE staining, 200).A:endometrioticlesion,withhighcolumnar epitheliumandvascularhyperemia;b:cysticendom etrioticlesion, withcolumnarglandularepithelium andinflammatorycelsinthecavity;c:eutopicen dometrium,withafewinflammatorycelsinfiltrating inglandularepithelium,andnondecreasingglands. 4 1?@B%&'BQ 1 #$ P,-. D' K) P! ;D,-./ <LM 34 E$ a]=c0 D -./K) a]_q, FK D' E ]^! (P<0.01); <LMK ]^! (P>0.05) <LMK FK ) P_Q (P<0.01), D' ) P_Q(P<0.01) FK ', P _Q, `(P<0.05), a) (, 1 * 1 #$ P,-. Table1.EfectofFugongningonvolumeofectopiccystsinrats withendometriosis(mm 3.Mean±SD.n=10) Group Beforetreatment Aftertreatment Model ± ± Danazoltreatment ± ± ## Fugongningtreatment ± ± ## Fugongningtreatment ± ± ## P<0.01vsmodel; ## P<0.01vsbeforetreatment. 2 BQ RM X[ FK 9 )*=+9,, J VZ,3 I 56 I, ( [ ), =%, = 9 98-% 1" 56., 1 <LMK a],56,56 /,, 2 -./K,, I) 0_! 1 56a],, % Figure2. Endometrialtisuesindanazoltreatmentgroup(HE staining, 200).A:high columnarglandularepi thelialhyperplasiainendometrioticlesionaroundovar ian;b:glandularepithelialhyperplasiaandinflamma tionbeinginhibitedinendometrioticlesion;c:vari ousdegreesofatrophyineutopicendometrialepitheli umandglands STUVB%&'BQ Figure3. EndometrialtisuesinFugongningtreatmentgroup (HEstaining, 100).A:significantly reduceden dometrioticlesion,withlitleintracavitarysecretion, andcystwalfibrosis;b:atrophyandloweringin partofendometrioticepithelium,andcystwalhemo siderosis;c:abundantglandsineutopicendometri um,withsecretionbutnoatrophy. 4 3 UVB%&'BQ 3 WX Y R UVWX] : FK N, 56, 5, 2' 456 <LMK, 456, I /K 6 _,, 6 _, ST, ;56 78Q 9, 4
4 534 Figure4.Ultrastructualchangesofendometrialepithilialcels.A:modelgroup( 4000);B:danazoltreatmentgroup( 4000); C:Fugongningtreatment1group( 4000);D:Fugongningtreatment2group( 8000). 4 4 %&',WX R 4 OM caspase 3()*+ caspase 3 K = 56 56=6 <, 3 1 T 1T=4, 5 5Q 56 E T K caspase 3 <5 6(P>0.05); K caspase 3 <5,-./ 1K 2K caspase 3 <a] FK(P<0.01) -./ 1K 2K caspase 3 <5 a] (P<0.01), FK <LMK caspase 3 < ]^! (P> 0.05), 2 1T=4, <,. <, 6 K Bcl 2 <5 6(P>0.05); K Bcl 2 <5,-./ 1K 2K Bcl 2 <a] FK(P<0.01) -./ 1 K 2K Bcl 2 <5 a] (P<0.01) FK::, Bcl 2 <5 a] (P<0.05) <L MK Bcl 2 <5 ] ^! (P>0.05), 3 Figure5.Activatedcaspase 3proteinexpresioninendometrial tisues(immunohistochemicalstaining).a:lowex presionin ectopicendometrium from modelgroup ( 400);B:highexpresioninectopicendometrium fromfugongningtreatmentgroup( 400);C:lowex presion in eutopic endometrium from Fugongning treatmentgroup( 200). 4 5 %&'BQOM caspase 3(),*+ * 2 ZBF$ #$&'OM caspase 3()*+[\,]^ Table2.Expresionofactivatedcaspase 3proteinineutopicand ectopicendometrialtisuesfromdiferentgroups(mean ±SD.n=10) Group Eutopicendometrium Ectopicendometrium Model 2.550± ±0.471 Danazoltreatment 2.450± ±0.412 Fugongningtreatment ± ±0.699 ## Fugongningtreatment ± ±0.675 ## P<0.01vsmodel; ## P<0.01vseutopicendometrium. 5 Bcl 2()*+ Bcl 2 < K = 56, 6 6 <, J 3 Figure6.Bcl 2proteinexpresioninendometrialtisues(immu nohistochemicalstaining, 200).A:highexpresion inectopicendometriumfrommodelgroup;b:lowex presion in ectopic endometrium from Fugongning treatmentgroup;c:highexpresionineutopicendo metriumfromfugongningtreatmentgroup. 4 6 %&'BQ Bcl 2(),*+ * 3 ZBF$ #$&' Bcl 2()*+[\,]^ Table3.ExpresionofBcl 2proteinineutopicandectopicendo metrialtisuesfrom diferentgroups(mean±sd.n= 10) Group Eutopicendometrium Ectopicendometrium Model 2.450± ±0.412 # Danazoltreatment 2.500± ±0.459 Fugongningtreatment ± ±0.738 # Fugongningtreatment ± ±0.978 # P<0.01vsmodel; # P<0.05vseutopicendometrium. 6 ZB#$&' Bcl 2 caspase 3*+,_ ` " Spearman4$ I, K bcl 2 = <5 caspase 3 = <5 ; (r=-0.377,p<0.05); K!= < ]
5 535 a EMT $ ` =. K. = =,! J " <" = >? 4 ) [ -,!@B EMT )E0 NA, ' $!BJ, C ' " % D E 6 = c [7], R = ", 56. C, 78=FDG [8]. H?, IJE = K C,J EMT= )L MN 2() )E B B/ 9 NO 3 < :BJ P, QR[. YLQ4 6, &%ST6. UV ')E,BC 3 % &J3 W 2=) )E, c%=!"#,xv % & JB C /=-./01, Y 6 % S= ",* `% " Z[ +, -Y \,?, ; 4. ) ;./ 014 %" &] ;^ 23 _`a Z[ b,c% /`,&% ; H ` ],c `/%` AZ,KZc*,$ = 78=, _Q ), ",;O<" =, 6 2 >!=b> #RD" = Y.,U V EMT F, # a FK, =,6 ;-./ 2T19KE 3 =c0 =,c 0_ 78 # K. E 7 8, F K , [9 12] 6 D-./, 5678 a], 4 [13] +, 2. 2 F = 6 -./K 5678 a]:wx[ ST <, =, 9 78Q =566 = = 6 -./=C E0, Z 56=78; Z, = 56= ;-./6 = Ia], 56= 9, c 56=0_, ) _Q +, K, -./K,EMT Bcl 2 <5 a], F K -./K34 56 caspase 3 = <5 /a], <LMK!! a] G K Bcl 2 caspase 3 <= " Spearman4$ I, K Bcl 2 = <5 caspase 3 = <5 ; (r=-0.377,p <0 05); K!= < ] *,-./ 56= caspase Bcl 2 EMT= <, 56=78, =c0 D Harada4 [14] ` EMT. 78 = #, EMT! 78= Ea][,!![ a], R, K 78 78= EMT = #,-./BCK a]78, a]78, >? 56 56=78, +,@A 'R #,,-./01 ER PR= < c0 `= D [15],<LM EMT34% E 2 P5,-./01 EMT3 4% E 2 P= D, FK% E 2 P89a ] K, a-./ c034 E 2 P= I,< BC EMT= = -./01Y % &, ) ( `=, DQ, `R D, - -./. 5678, <LMC, = E0 E 2 5 [ Z -./ E2= D <LM, $. = D [b c 7] [1].. 2='!+,(S ) [M].S 1. : 3$,2003: [2] P,,,4.STAT3 SOCS3. 2= +,[J]. )**,2012, 28(1): ,158. [3], M,. & =>?[J].,2008,24(10):54
6 [4],,,4. :; <LM 34. 2BC = [J]. c,2012,32(8): [5],1,,4.34 #. 2 F-0[J]. )**,1995,11(3): [6] OtaH,IgarashiS,SasakiM,etal.Distributionofcy clooxygenase 2ineutopicandectopicendometriuminen dometriosisadenomyosis[j].hum Reprod,2001,16 (3): [7] HastingsJM,FazleabasAT.Futuredirectionsinendome triosisresearch[j].seminreprodmed,2003,21(2): [8] Garcia VelascoJA,AriciA.Apoptosisandthepathogene sisofendometriosis[j].seminreprodmed,2003,21 (2): [9],,.. 2 % c >2= c C [J]. c,1991,11(6): [10]DmowskiWP,DingJ,ShenJ,etal.Apoptosisinendom etrialglandularandstromalcelsinwomenwithandwith outendometriosis[j].hum Reprod,2001,16(9): [11] BraunDP,DingJ,ShenJ,etal.Relationshipbetween apoptosisandthenumberofmacrophagesineutopicendo metriumfrom womenwithandwithoutendometriosis[j]. FertilSteril,2002,78(4): [12],,.. 56=78 =+,[J]. =,1999,34(9): [13],U,,4. 2. F34 K 56 78=>?[J]. K $ 56 $,2003,12(3): [14] HaradaT,KaponisA,IwabeT,etal.Apoptosisinhuman endometriumandendometriosis[j].humreprodupdate, 2004,10(1): [15],,,4.-./ H > "b < J[ R=>? [J].,2010,21(11): 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 O= J ( ) W $Y J! " 1 S +#A #% $$% $Y&E 10< 1000 ' )**$ $+A$ $+A 11< 9~ ' Y3$ $Y&E 2< 25~ () ' a J*+,-./0$$Y $ $Y&E 10<[1 ) S # )**$Y$% )**+, 10<[ ( `&E $ ( 3 ) V $% $03$ 8< ) J)**$./0$S 18#$ Y+A$ 8 )**$$ :+./0$S ;#$Y3$ $$K $Y$% $Y&E 7< $Y&E 8< 3~ S # <K% $+A$ $Y&E 9< 50 =5> K?)+,$S #@ 3$ $Y&E 6< 30 ~7< 4 50 A BC =5> J*-./0$ CSATVB cd $Y&E 7<[1 C J*+,- E ) $Y$% K J 1 S # )**$Y$% # F 10<[1 100 ( 3 ) 2 V
Segments 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 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 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 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 informationUnderstanding Reflections
Lesson 18 Understanding Reflections 8.G.1.a, 8.G.1.b, 8.G.1.c, 8.G., 8.G.3 1 Getting the idea A reflection is a tpe of transformation in which ou flip a figure across a line called the line of reflection.
More informationCongruent Triangles Triangles. Warm Up Lesson Presentation Lesson Quiz. Holt Geometry. McDougal Geometry
Triangles Warm Up Lesson Presentation Lesson Quiz Holt Geometry McDougal Geometry Warm Up 1. Name all sides and angles of FGH. FG, GH, FH, F, G, H 2. What is true about K and L? Why? ;Third s Thm. 3. What
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 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 information5.1 Congruent Triangles
5.1 Congruent Triangles Two figures are congruent if they have the same and the same. Definition of Congruent Triangles ΔABC ΔDEF if and only if Corresponding Angles are congruent: Corresponding Sides
More informationBuilding Blocks of Geometry
Practice A Building Blocks of Geometry Name each geometric figure. 1. 2. 3. 4. 5. 6. Use the diagram to choose the correct answer. 7. Which of the following does not name a line on the diagram? A Line
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 informationSolved Paper 1 Class 9 th, Mathematics, SA 2
Solved Paper 1 Class 9 th, Mathematics, SA 2 Time: 3hours Max. Marks 90 General Instructions 1. All questions are compulsory. 2. Draw neat labeled diagram wherever necessary to explain your answer. 3.
More informationAnalytic Geometry Unit 1: Similarity, Congruence & Proofs Lesson 6. Name Date Period
Name Date Period Topic: 2-Column Proofs and Rigid Motion Class Website: msgiwa1.weebly.com Transformations seen in Coordinate Algebra Translation: A translation is sometimes called a slide. In a translation,
More information7.2 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 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 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 informationNATIONAL SENIOR CERTIFICATE GRADE 10
NATIONAL SENIOR CERTIFICATE GRADE 10 MATHEMATICS P NOVEMBER 016 MARKS: 100 TIME: hours This question paper consists of 10 pages and a 16-page answer book. Mathematics/P DBE/November 016 INSTRUCTIONS AND
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 informationCircles - Probability
Section 10-1: Circles and Circumference SOL: G.10 The student will investigate and solve practical problems involving circles, using properties of angles, arcs, chords, tangents, and secants. Problems
More informationTEKS: G10B, G9B, G5B, G2B The student will justify and apply triangle congruence relationships. The student will formulate and test conjectures about
TEKS: G10B, G9B, G5B, G2B The student will justify and apply triangle congruence relationships. The student will formulate and test conjectures about the properties and attributes of polygons and their
More informationGeometry 4-4 Study Guide: Congruent Triangles (pp ) Page 1 of 13
Page 1 of 13 Attendance Problems. 1. Name all sides and angles of! VFGH. 2. What is true about! RK and! RL? Explain why. 3. What does it mean for two segments to be congruent? I can use properties of congruent
More information41. What is the value of x? 19 57 52 71 42. Find the value of s. 23 34 28 56 43. A and B are the remote interior angles of BCD in ABC. Which of these equations must be true? m A - 180 = m B m A = 90 -
More informationFGCU Invitational Geometry Individual 2014
All numbers are assumed to be real. Diagrams are not drawn to scale. For all questions, NOTA represents none of the above answers is correct. For problems 1 and 2, refer to the figure in which AC BC and
More informationVirginia Mathematics Checkpoint Assessment GEOMETRY G.5. Topic: Triangles
Virginia Mathematics Checkpoint Assessment GEOMETRY G.5 Topic: Triangles Standards of Learning Blueprint Summary Reporting Category Geometry SOL Number of Items Reasoning, Lines, and G.1(a-d), G.2(a-c),
More informationGeometry eday #2 Assignment
Name Date Score Quadrilaterals Geometry eday #2 Assignment 1. If the diagonals of a quadrilateral are perpendicular bisectors of equal length, then the quadrilateral is a. (Give the strongest condition.)
More informationm 6 + m 3 = 180⁰ m 1 m 4 m 2 m 5 = 180⁰ m 6 m 2 1. In the figure below, p q. Which of the statements is NOT true?
1. In the figure below, p q. Which of the statements is NOT true? m 1 m 4 m 6 m 2 m 6 + m 3 = 180⁰ m 2 m 5 = 180⁰ 2. Look at parallelogram ABCD below. How could you prove that ABCD is a rhombus? Show that
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 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 informationReview (pages )
Review (pages 124 126) 2.1 1. a) In right CDE, CE is D and CD is adjacent to D. Use the tangent ratio in right CDE. tan D adjacent CE tan D CD 7 tan D 10 D 34.9920 D is approximately 35. b) In right FGH,
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 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 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 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 informationDeveloping Conceptual Understanding of Number. Set D: Geometry
Developing Conceptual Understanding of Number Set D: Geometry Carole Bilyk cbilyk@gov.mb.ca Wayne Watt wwatt@mts.net Geometry 1 Vocabulary side triangle angle shortest side Notes Note that in a triangle,
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 informationanswers to LEVEL Intermediate 1 homework
answers to LEVEL Intermediate homework TJ INT Homework Answers page 0 INT Homework Chapter page Exercise.. a 60 b 230 c 3460 2. a 00 b 000 c 9990 3. 230 4. 260 Exercise.2. a 300 b 6500 c 8800 2. a 00 b
More informationPolygon Interior Angles
Polygons can be named by the number of sides. A regular polygon has All other polygons are irregular. A concave polygon has All other polygons are convex, with all vertices facing outwards. Name each polygon
More informationChapter 4 Answers. Practice m 1 = 110; m 2 = m 3 = 90; m 4 = m 5 = 140; m 6 = 90; m 7 = 40; m 8 = 90
Pearson ducation, Inc., publishing as Pearson Prentice all. ll rights reserved. hapter 4 nswers Practice 4-1 1. m 1 = 110; m 2 = 120 2. m 3 = 90; m 4 = 135 3. m 5 = 140; m 6 = 90; m 7 = 40; m 8 = 90 4.
More informationHonors Midterm Review
Name: Date: 1. Draw all lines of symmetry for these shapes. 4. A windmill has eight equally-spaced blades that rotate in the clockwise direction. 2. Use the figure below to answer the question that follows.
More informationGet Ready. Solving Equations 1. Solve each equation. a) 4x + 3 = 11 b) 8y 5 = 6y + 7
Get Ready BLM... Solving Equations. Solve each equation. a) 4x + = 8y 5 = 6y + 7 c) z+ = z+ 5 d) d = 5 5 4. Write each equation in the form y = mx + b. a) x y + = 0 5x + y 7 = 0 c) x + 6y 8 = 0 d) 5 0
More informationBelievethatyoucandoitandyouar. ngascannotdoonlynotyetbelieve. Mathematics. thatyoucandoitandyouarehalfw. Stage 3
Believethatyoucandoitandyouar ehalfwaytherethereisnosuchthi ngascannotdoonlynotyetbelieve Mathematics thatyoucandoitandyouarehalfw Stage 3 aytherethereisnosuchthingasca Shape & Space nnotdoonlynotyetbelievethatyo
More informationGeometry Semester 1 Model Problems (California Essential Standards) Short Answer
Geometry Semester 1 Model Problems (California Essential Standards) Short Answer GE 1.0 1. List the undefined terms in Geometry. 2. Match each of the terms with the corresponding example a. A theorem.
More informationChain Matrix Multiplication
Chain Matrix Multiplication Version of November 5, 2014 Version of November 5, 2014 Chain Matrix Multiplication 1 / 27 Outline Outline Review of matrix multiplication. The chain matrix multiplication problem.
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 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 informationTriangles Chapter Problems
Classify the Triangles by Sides or Angles Class Work Triangles Chapter Problems In problems #1-10, choose the most appropriate description for the given triangle. (quilateral, Scalene, Isosceles, Obtuse,
More informationPART LISTINGS TEST OR QUALIFICATION REFERENCE
Specification Details: DLA Land and Maritime - VQ Date: 5/17/2018 Specification: MIL-DTL-83413 Title: Connectors and Assemblies, Electrical, Aircraft Grounding Federal Supply Class (FSC): 5935 Conventional:
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 informationSPAREPARTSCATALOG: CONNECTORS SPARE CONNECTORS KTM ART.-NR.: 3CM EN
SPAREPARTSCATALOG: CONNECTORS ART.-NR.: 3CM3208201EN CONTENT SPARE CONNECTORS AA-AN SPARE CONNECTORS AO-BC SPARE CONNECTORS BD-BQ SPARE CONNECTORS BR-CD 3 4 5 6 SPARE CONNECTORS CE-CR SPARE CONNECTORS
More information3.1 Investigate Properties of Triangles Principles of Mathematics 10, pages
3.1 Investigate Properties of Triangles Principles of Mathematics 10, pages 110 116 A 1. The area of PQR is 16 square units. Find the area of PQS. the bisector of F the right bisector of side EF the right
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 informationTOM S RIVER. N. J. APRIL 1, 1857.
P b J [ J ) --------- J P 857 7 c < ( v v k k ( Ì k \ bv F í xbk ( v c c< k v J 4? 9 b (b bx c c í c c k c c b k Ö ) c ( b c ck b é P c // k ( cà ( k kc ( b b v #> b Ü) v # k # v [ vb b c< c b c v b b
More informationSPARE CONNECTORS KTM 2014
SPAREPARTSCATALOG: // ENGINE ART.-NR.: 3208201EN CONTENT CONNECTORS FOR WIRING HARNESS AA-AN CONNECTORS FOR WIRING HARNESS AO-BC CONNECTORS FOR WIRING HARNESS BD-BQ CONNECTORS FOR WIRING HARNESS BR-CD
More informationKL ChineseJournalofPathophysiology 2013,29(2): [] (2013) !"#$%&',,, (!"#$%&' %, ) Rolesofmitochondrialdysfunction
364 @ KL ChineseJournalofPathophysiology 2013,29(2):364 370 [] 1000 4718(2013)02 0364 07!"#$%&',,, (!"#$%&' %, 510182) Rolesofmitochondrialdysfunctionincardiovasculardiseases XIONGYan,ZHANGMei,CHENFei,FANGWei
More information9.2 SECANT AND TANGENT
TOPICS PAGES. Circles -5. Constructions 6-. Trigonometry -0 4. Heights and Distances -6 5. Mensuration 6-9 6. Statistics 40-54 7. Probability 55-58 CIRCLES 9. CIRCLE A circle is the locus of a points which
More informationSkills Practice Skills Practice for Lesson 6.1
Skills Practice Skills Practice for Lesson.1 Name Date Quilting and Tessellations Introduction to Quadrilaterals Vocabulary Write the term that best completes each statement. 1. A quadrilateral with all
More informationnot to be republished NCERT CONSTRUCTIONS CHAPTER 10 (A) Main Concepts and Results (B) Multiple Choice Questions
CONSTRUCTIONS CHAPTER 10 (A) Main Concepts and Results Division of a line segment internally in a given ratio. Construction of a triangle similar to a given triangle as per given scale factor which may
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 informationName Date Class. 6. In JKLM, what is the value of m K? A 15 B 57 A RS QT C QR ST
Name Date Class CHAPTER 6 Chapter Review #1 Form B Circle the best answer. 1. Which best describes the figure? 6. In JKLM, what is the value of m K? A regular convex heptagon B irregular convex heptagon
More informationCHAPTER 9. Chapter Opener. congruent faces: T PQR T PQS; congruent edges: QR **** QS **& and **** PR PS **** c 2
CHAPTER 9 Chapter Opener Chapter Readiness Quiz (p. 47) 1. A; 5 1 c 5 144 c. G; A 1 bh 169 c 1 6 9 c 1 c 1 (1)(5) 0 units. C; A πr π(6) Lesson 9.1 11 in. 9.1 Checkpoint (p. 475) 1. The solid is a polyhedron
More informationGEOMETRY SEMESTER 1 EXAM REVIEW
GEOMETRY SEMESTER 1 EXAM REVIEW Use the diagram to answer the following questions. 1. Find three points that are collinear. Name 2. Write three different names for line p. 3. Name a point not coplanar
More information4-8 Similar Figures and Proportions. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes Warm Up Find the cross products, and then tell whether the ratios are equal. 1. 16, 40 6 15 2. 3. 3 8, 18 46 8, 24 9 27 4. 28, 42 12 18 240
More informationCustomer Maintenance Parts List
C US R MODEL SUFFIX Customer Maintenance Parts List Model 0 R0000 dot recorder Made in China RECORDER STYLE FREQUENCY NO. SUPPLY N00 0 TAG NO. Note: Parts marked with a symbol are Customer Maintenance
More informationGeometry Ch 4 Practice Exam
Name: Class: Date: Geometry Ch 4 Practice Exam Multiple Choice Identify the choice that best completes the statement or answers the question. 1. If BCDE is congruent to OPQR, then BC is congruent to?.
More informationGeometry Semester 1 REVIEW Must show all work on the Review and Final Exam for full credit.
Geometry Semester 1 REVIEW Must show all work on the Review and Final Exam for full credit. NAME UNIT 1: 1.6 Midpoint and Distance in the Coordinate Plane 1. What are the coordinates of the midpoint of
More informationSimilar shapes.
Similar shapes www.q8maths.com 4. R C 45 cm 26 cm A 8 cm B P 12 cm Q The two triangles ABC and PQR are mathematically similar. Angle A = angle P. Angle B = angle Q. AB = 8 cm. AC = 26 cm. PQ = 12 cm. QR
More informationC3 Integration 1. June 2010 qu. 4
C Integration. June qu. 4 k The diagram shows part of the curve y =, where k is a positive constant. The points A and B on the curve have -coordinates and 6 respectively. Lines through A and B parallel
More informationCHAPTER FOUR TRIANGLE CONGRUENCE. Section 4-1: Classifying Triangles
CHAPTER FOUR TRIANGLE CONGRUENCE 1 Name Section 4-1: Classifying Triangles LT 1 I can classify triangles by their side lengths and their angles. LT 2 I will use triangle classification to find angle measures
More informationPearson Foundations and Pre-calculus Mathematics 10
Cumulative Review Chapters and (pages 0-) Chapter. a) Since yd. = ft., to convert feet to yards, divide by. 70 70 ft. yd. 70 ft. yd. 70 ft. yd. ft. b) The perimeter of the pen is greater than yd., so Andrea
More informationCBSE SAMPLE PAPERS SUMMATIVE ASSESSMENT-II (MATHS) CLASS 10
CBSE SAMPLE PAPERS SUMMATIVE ASSESSMENT-II (MATHS) CLASS 10 Time: 3 Hrs Max Marks: 90 General Instructions: A) All questions are compulsory. B) The question paper consists of 34 questions divided into
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 information22ND CENTURY_J1.xls Government Site Hourly Rate
Escalation rate 000 AA0 Administrative Assistant Level I 000 AA0 Administrative Assistant Level II 000 AB0 Application Engineer Level I 000 AB0 Application Engineer Level II 000 AC0 Application Programmer
More informationTriangles Chapter Problems
Classify the Triangles by Sides or Angles Class Work Triangles Chapter Problems In problems #1-10, choose the most appropriate description for the given triangle. (quilateral, Scalene, Isosceles, Obtuse,
More informationAH Matrices.notebook November 28, 2016
Matrices Numbers are put into arrays to help with multiplication, division etc. A Matrix (matrices pl.) is a rectangular array of numbers arranged in rows and columns. Matrices If there are m rows and
More informationSaturday 星期六 Mixed ("A" Course) / AWT. Final Version Last Updated: 09 January 2015 at 11:30
10 01 2015 Saturday 星期六 Mixed ("A" Course) / AWT 33 Final Version Last Updated: 09 January 2015 at 11:30 ! '!/ 01'! &1 "!!/!', ),!!!/!'!!, ( &1 "!! &1 "' &"1 2&!!,! ' &"1 2&! &1 "*.!/!&1 ", 3 4 &&!5!/-
More informationUnit 6: Connecting Algebra and Geometry Through Coordinates
Unit 6: Connecting Algebra and Geometry Through Coordinates The focus of this unit is to have students analyze and prove geometric properties by applying algebraic concepts and skills on a coordinate plane.
More informationChapter 3. Proving Statements in Geometry
3- Inductive Reasoning (pages 95 97). No; triangles may contain a right or obtuse 2. Answers will vary. Example: 3 5 2 3. a. Answers will vary. b. 90 c. The sum of the measures of the acute angles of a
More informationNapoleon s Theorem Addict
Submitted by S3 PLMGS (S) Students Feng Yi Ni Xu Ming Xin Wang Jing Qi Wu Wen Yang Paya Lebar Methodist Girls School (Secondary) A project presented to the Singapore Mathematical Project Festival 2013
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 informationEducation Resources. This section is designed to provide examples which develop routine skills necessary for completion of this section.
Education Resources Straight Line Higher Mathematics Supplementary Resources Section A This section is designed to provide examples which develop routine skills necessary for completion of this section.
More informationReteaching O 4 6 x. 6a. 2 6b a b. 3 8a. 0 8b. undefined. 3 10a. undefined 10b. 0 11a. 1 11b. 1
Chapter Answers Alternative Activit -. Check students work.. Check students work.. 80. 7. Angles change. The sum remains 80. 8. Subtract (0 55) from 80 to get 8 Reteaching -. Alternative Activit -. 0.
More informationINTRODUCTION TO THREE DIMENSIONAL GEOMETRY
Chapter 1 INTRODUCTION TO THREE DIMENSIONAL GEOMETRY Mathematics is both the queen and the hand-maiden of all sciences E.T. BELL 1.1 Introduction You may recall that to locate the position of a point in
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 informationLecture 13: Chain Matrix Multiplication
Lecture 3: Chain Matrix Multiplication CLRS Section 5.2 Revised April 7, 2003 Outline of this Lecture Recalling matrix multiplication. The chain matrix multiplication problem. A dynamic programming algorithm
More informationVocabulary Point- Line- Plane- Ray- Line segment- Congruent-
* Geometry Overview Vocabulary Point- an exact location. It is usually represented as a dot, but it has no size at all. Line- a straight path that extends without end in opposite directions. Plane- a flat
More informationAppendix 5-1: Attachment J.1 Pricing Table -1: IMS Ceiling Loaded Rates at Contractor Site
Appendix 5-1: Attachment J.1 Pricing Table -1: IMS Ceiling Loaded Rates at Contractor Site Escalation rate 4.6% 4.6% 4.6% 4.6% 4.6% 4.6% 4.6% 4.6% 4.6% 0001 AA01 Administrative Assistant Level I $51.00
More informationPolygons, Congruence, Similarity Long-Term Memory Review Grade 8 Review 1
Review 1 1. In the diagram below, XYZ is congruent to CDE XYZ CDE. Y D E X Z C Complete the following statements: a) C b) XZ c) CDE d) YZ e) Z f) DC 2. In the diagram below, ABC is similar to DEF ABC DEF.
More informationAPEX PON VIDYASHRAM, VELACHERY ( ) HALF-YEARLY WORKSHEET 1 LINES AND ANGLES SECTION A
APEX PON VIDYASHRAM, VELACHERY (2017 18) HALF-YEARLY WORKSHEET 1 CLASS: VII LINES AND ANGLES SECTION A MATHEMATICS 1. The supplement of 0 is. 2. The common end point where two rays meet to form an angle
More informationShape, space and measures
Shape, space and measures Non-Calculator Exam Questions 1. Here is the plan and side elevation of a prism. The side elevation shows the cross section of the prism. On the grid below, draw the front elevation
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 informationTopic 3 - Circular Trigonometry Workbook
Angles between 0 and 360 degrees 1. Set your GDC to degree mode. Topic 3 - Circular Trigonometry Workbook In the graph menu set the x-window from 0 to 90, and the y from -3 to 3. Draw the graph of y=sinx.
More informationUnit 4 Congruent Triangles.notebook. Geometry. Congruent Triangles. AAS Congruence. Review of Triangle Congruence Proofs.
Geometry Congruent Triangles AAS Congruence Review of Triangle Congruence Proofs Return to Table 1 Side opposite Side Side the sides of triangles Adjacent Sides - two sides sharing a common vertex leg
More informationDownloaded from Class XI Chapter 12 Introduction to Three Dimensional Geometry Maths
A point is on the axis. What are its coordinates and coordinates? If a point is on the axis, then its coordinates and coordinates are zero. A point is in the XZplane. What can you say about its coordinate?
More informationUnderstanding Rotations
Lesson 19 Understanding Rotations 8.G.1.a, 8.G.1.b, 8.G.1.c, 8.G., 8.G.3 1 Getting the idea A rotation is a tpe of transformation in which ou turn a figure about a fied point. The image formed b a rotation
More informationChapter 6. Similarity
Chapter 6 Similarity 6.1 Use Similar Polygons Objective: Use proportions to identify similar polygons. Essential Question: If two figures are similar, how do you find the length of a missing side? Two
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 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 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 informationMATH Additional Examples Page 4.24
MAH 050 4.4 Additional Examples Page 4.4 4.4 Additional Examples for Chapter 4 Example 4.4. Prove that the line joining the midpoints of two sides of a triangle is parallel to and exactly half as long
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 information