First Semester Final Exam Review Guide
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1 Geometr Name n jz0\1t5e Kkunt_a] VSeoUfGtAwlaZrTeS wlllch.a ralml[ krwirg`hctosn rrgemslerrviejd_. First Semester Final am Review Guide Find the length indicated. Period 1) Find AC ) Find HI A 1-7 B C H I J ) Find TV T U - 7 V raw an angle with the given measurement. 4) 134 5) 67 Classif each angle as acute, obtuse, right, or straight. 6) 7) 8) 9) e Na0M1t5i CKJut^a^ BSoUfHtiweaarPeO TLsLGCU.r U `ArlCl\ XrgiHgkh]tWs frqeksselrgvaeudu.p c zmlaqdpej fwniftgh SIYn[fLiNnAigtres BGCeHopmRe`tYrU[. -1- Worksheet b Kuta Software LLC
2 Name the verte and sides of each angle. 10) P 11) B A Q R C Name each angle in four was. 1) G 13) F 1 4 C Name all the angles that have V as a verte. 14) H 15) F I 1 V G V ) Find if m JIH = 160, m JIG = + 76, and m GIH = ) Find if m KLM = 41 +, m KL = 67, and m LM = J M I G L H K 18) m KF = + 67, m F = 110, and m K = Find m KF. 19) m TUV = , m HUV = 7, and m TUH = Find m TUH. V U T F K H B Xs0[1B5 JKhuNtuaH [SOovfWtwvaLrCeY KLhLkCh.q b qavlqls rbimgdhathsb zrreksleorcvyegdz.m MaFdXel MwbiJtYht rintfrizncibtzew ogxepovme[tdrus. -- Worksheet b Kuta Software LLC
3 Name the relationship: complementar, linear pair, vertical, or adjacent. 0) 1) a b b a ) 3) a b b a Find the measure of angle b. 4) 5) 4 b 19 b Find the value of. 6) 7) (6 + 4) 98 (6 + ) 98 8) 9) ( + 3) (3 + ) 8 (3 + 1) L Rk0l1p5^ rkmutkao OSModfutRwma]rei BLHL\C[.l b SAnlmlT IrziVg]hTtMsP OrVesrebroveVdV.G k hm_abdbeu twvi[thp WIwnkfTidnviHtJeP dgeooqmweptqrwv. -3- Worksheet b Kuta Software LLC
4 List all information given b the marks on the diagram. 30) 31) Q R P L U K P R S Q T S 3) F C A Solve for. B 33) 34) ) 36) B Lt0b1P5r eknuntyax msyoafftcwwamrke llcltcl.t t bajlrlv r_ifgthhtcs_ drzejsselrvvepda.s j rmuacdew rwlijtphj Ihn`fqiOncibtQeJ GsemoqmYetr^A. -4- Worksheet b Kuta Software LLC
5 Find the measure of the angle indicated in bold. 37) 38) ) 40) Find the value of that makes lines u and v parallel. 41) 4) u u v v 43) 44) v 59 u u + 66 v T wt0e1n5^ TKeurtqaq mshobftcwiasrief OLpLICl.J H katlvlh Wr\iagWhJtUsB ]r]efsaegrhvqe\dh.f U HMNaIdweo GweiBtfhK rimnkfiin]iwtieb fgmedo_mgextkrf. -5- Worksheet b Kuta Software LLC
6 Find the midpoint of each line segment. 45) 46) Find the midpoint of the line segment with the given endpoints. 47) (-3, 0), (-4, -10) 48) (8, 6), (9, 1) 49) (10, -11), (-8, -5) 50) (5, -1), (6, 5) Find the other endpoint of the line segment with the given endpoint and midpoint. 51) ndpoint: (-11, 4), midpoint: (3, 5) 5) ndpoint: (-1, 7), midpoint: (1, 5) 53) ndpoint: (5, 6), midpoint: (-1, 11) 54) ndpoint: (9, -9), midpoint: (-6, 3) Find the distance between each pair of points. Round our answer to the nearest tenth, if necessar. 55) 56) ) (-7.1, -4.4), (-7.1, 7.5) 58) (1.5, 5.9), (0.5, -7.1) 59) (-6.8, -.6), (.8, 8) 60) (4., -0.7), (1.8, -1.1) WY0N1v5U OKeuvt`ak oswonf[t\wfa^rkeg NLZLmCO. s gaglrlm Rr]iQg[hCtJsj NrJeseirivVedZ.` W nmbazdier Jwriqtvhc PI[n^fMiFnui_tteN bgzeiojmmemt_rcm. -6- Worksheet b Kuta Software LLC
7 Find the slope of each line. 61) 6) Find the slope of the line through each pair of points. 63) (-10, 8), (-15, -5) 64) (-, 9), (-14, 4) 65) (-, -5), (0, -6) 66) (1, 9), (, -1) Find the slope of each line. 67) = 0 68) = 0 Find the slope of a line parallel to each given line. 69) -3 = - 70) = 3 71) - 3 = -3 7) -4 + = 1 Find the slope of a line perpendicular to each given line. 73) = ) 3 = ) 5 + = ) = 10 b eh0t1o5t Keu]tAaZ PSKoRfttMwJarUel hlul[cw._ M OAilPlR PrViOg\hLtWs_ troevshezrvvuehdv.h G smakd]eh FwQiHtkhP IlnsfZiJnNiVtXe XGXeTo\mCeWtlrFs. -7- Worksheet b Kuta Software LLC
8 Write the slope-intercept form of the equation of each line. 77) 78) ) = 0 80) = 3 Write the slope-intercept form of the equation of the line through the given points. 81) through: (0, -) and (4, 4) 8) through: (-, 0) and (5, -5) Write the slope-intercept form of the equation of the line described. 83) through: (-, 0), parallel to = 3 84) through: (4, 4), parallel to = ) through: (5, -5), perp. to = ) through: (5, 1), perp. to = Classif each triangle b its angles and sides. 87) 88) H ^t01a5c \KcuStQa\ osrozfvtjwlaprger glhlccw.f i zaall mrniggbhtcsd wr[e`spearsvwendp.m z wmwaqdpeh PwSittvhO PIBnafsiFnziJtmew KGresoSmueLtWrbd. -8- Worksheet b Kuta Software LLC
9 89) ) Find the measure of angle A. 91) A 9) A Find the measure of each angle indicated. 93) 5 94)? ? 95) 90 96) ? 63? 97) B? Y A C M I0A1X5c skguutaa [SooZfut\wBaHrbeX illici.y H NAQlclX pr]icgvhwtnsa BrIe\sHeRrQvjemdK.l L MFaPdAeB lwpi_twhh FINnvf`iwneiBtseY JGbeaoLmAeqthrRO. -9- Worksheet b Kuta Software LLC
10 Solve for. 98) G 99) T K H F U 3-86 V Find the measure of the angle indicated. 100) Find m VUT. 101) Find m T. V Q S 35 T 40 1 U Q R + 7 T Write a statement that indicates that the triangles in each pair are congruent. 10) R 103) V W X Q S R Y S Q K `j0e1n5 wkpuztwau ASZoGfXtZw[aGr\el \LALnCQ.m Z lawlkln wriiwgshwtjsb grzersaenrmvjesdg.z ` ^McaFde GwjiKtJh dirnlfpiinoi_tsed sgoeuo\mkeptbrty Worksheet b Kuta Software LLC
11 State if the two triangles are congruent. If the are, state how ou know. 104) 105) 106) 107) 108) 109) 110) 111) T u0o1k5n fkrubtuai [SQoMfmtIw[aIroeO il[lmck. N HAwlola erpinggh_trsb mriejskear`vfead.z ] vmjadnew swrigtihv RIMnsfAitnviPtAeR \GceoimHeTtZrJ\ Worksheet b Kuta Software LLC
12 11) 113) 114) 115) State what additional information is required in order to know that the triangles are congruent for the reason given. 116) ASA 117) SSS U W V S C I Q 118) HL 119) SAS L F W F K X Y P `t0n1t5k zkkuitgab msmofctlwjasrbej nlrlcc].k w eaplal\ srbifgdhetms PrhePsLearzvied^.B B MmaKdter ]wsiotbhh ZIknJftiIngiotzeN ogfehomrejtgr`. -1- Worksheet b Kuta Software LLC
13 10) AAS 11) ASA K R S Q G T U S Find the value of. 1) 13) ) m = ) m = G rb0z1]5q [K_uQtfaL csqoxfitjwjajrke] mltl_cr.k u RAqlXlP Vr]ifgahjtSsY UrLeRsReor\vXeMda.K G Mnaodqe] kwyistah qihnofiwnoittpeg SGUeVo[mYeetQrdb Worksheet b Kuta Software LLC
14 16) m = ) m = ) m = ) m = Write the name of each polgon. 130) 131) 13) 133) 134) 135) f ws0a1n5g \K\uptLaB ksno]frtfwsazrie QLcLBCO.] M ZAelQl jrhi`gbhntns_ krueps^eqrevzewd[.h U TMKaQdvez fw]i_tbhd YIKnlfzi]niKtreM GeHoMmeLtTrcg Worksheet b Kuta Software LLC
15 State if each polgon is concave or conve. 136) 137) Graph the image of the figure using the transformation given. 138) translation: (, ) ( - 4, - 1) 139) translation: (, ) ( - 5, - 1) C U G Y S J 140) translation: (, ) ( + 6, - 4) 141) translation: (, ) ( + 4, - 5) A A M T p ]X0P1G5G dkuuut`ag \SJoYfutowtakrXeG olvlaco.^ n aajlzlu [rri]gjhttxso braeoshecrgvaerdr.b s CMda\dge_ AwVidtThZ [IOnjfmiBnzitle ogzedoumlegtur\j Worksheet b Kuta Software LLC
16 Find the coordinates of the vertices of each figure after the given transformation. 14) reflection across the -ais 143) reflection across the -ais J B A C W 144) reflection across the -ais S 145) reflection across the -ais F R F X Q 146) rotation 180 about the origin 147) rotation 90 clockwise about the origin K B VK0P1q5r \KfuRtvaU es[o_fft`wzafrfet alrlhcd. ^ KArlZlU orpi^gnhitssx UrmeLsJeerYv[eOdY.b c pmpald^ej hwlist`ht biwnbfcisnbitfem GPewoXmYettrr]P Worksheet b Kuta Software LLC
17 148) rotation 90 counterclockwise about the origin 149) rotation 180 about the origin L I Solve each equation. 150) 9(k - 6) - 6(k - 1) = -1k - 9k 151) -3-1( + 9) = 3( + 1) 15) -4(k + 3) + k = -1(k - 9) - 5k 153) -5m - 4(m + 6) = -1m - (m + 8) V FT0[1F5B KKJuwt^a` osgodfhtswagrwep QLhLBCf.R CA`lNlb rrnicgyhftjsw Rrjeas]eKrvaeFds.b M vmhaldhem HwbiTtphC IhnrfIionQijtes ogcesopmwerturbw Worksheet b Kuta Software LLC
18 Answers to First Semester Final am Review Guide 1) 1 ) 7 3) 17 4) 5) 6) obtuse 7) acute 8) obtuse 9) straight 10) Q, QP and QR 11) B, BA and BC 1) F, 1, GF, FG 13), 4, C, C 14) 1,, IVG 15) 3, 4, FV 16) -1 17) 4 18) 60 19) 100 0) adjacent 1) vertical ) linear pair 3) complementar 4) 156 5) 19 6) 19 7) 16 8) 17 9) 7 30) PQ RS 31) UPT RPS QL ST 3) AB ^ BC AB BAC 33) 9 RP SQ SQ 34) -9 35) 9 36) ) ) ) 94 40) 60 41) 6 4) 10 43) -7 44) 6 45) (-1.5,.5) 46) (3, 3.5) 47) (-3.5, -5) 48) (8.5, 9) 49) (1, -8) 50) (5.5, -3.5) 51) (17, 6) 5) (36, 3) 53) (-7, 16) 54) (-1, 15) 55) 7 56) 9. 57) ) 13 59) ).4 61) 1 3 6) ) ) ) ) ) ) 65) ) 7 69) 1 7) 4 74) 3 75) ) 9 73) ) = ) = ) = ) = ) = 3-8) = ) = ) = ) = ) = ) right scalene 88) acute isosceles 89) right isosceles 9 90) obtuse scalene 91) 55 9) 40 93) ) 10 95) 61 96) 6 97) 60 98) 9 99) 9 100) ) 65 10) QXY 103) RWV 104) AAS 105) ASA 106) Not congruent 107) SSS ) HL 109) ASA [ Fp0v1O5d UKPuutSaX csbowf[tjwpairqey YLSLFC].k e NAl\lh jr\ipgahztcs XrPeNsHeYrOvUehdg.v K zmyacddez [wziwt`h iinifkijnjiutfeo JGzeo\mjefttrBR. Worksheet b Kuta Software LLC
19 110) SAS 111) AAS 11) HL 113) Not congruent 114) SAS 115) ASA 116) Q IC 118) FK or LF 119) FX 10) KRQ or RQK 11) GT 1) 58 13) 11 14) ) ) -1 17) -1 18) ) ) quadrilateral 131) octagon 13) pentagon 133) heagon 134) nonagon 135) decagon 136) concave 137) conve 138) 139) 140) C' U' ' G' Y' S' J' A' M' 141) 14) '(-3, -1), C'(0, 3), W'(-3, 4) A' T' ' 143) J'(-, 5), A'(-4, ), B'(0, 1) 144) S'(0, -5), F'(1, -), R'(-3, -) 145) F'(3, 3), Q'(0, -1), X'(5, -1) 146) '(0, 1) 147) K'(3, -) 148) I'(5, 4) 149) L'(-5, 3) 150) {} 151) {-8} 15) {8} 153) {4} h pi0c1u5i vkduetza esloifltbwgaarzej llolcs.t HA\lil[ mr\i\gqhqtfsg jrleoserzv[ecdv.v j BM]a_d_ez XwsiMtKhK IHnQfIihn]i\twew ggcetolmeutbri Worksheet b Kuta Software LLC
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