State what additional information is required in order to know that the triangles are congruent for the reason given. 6) AAS -1-

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1 -1- V s2e0e143r pkquot7af BSBoBfBtrwva5r3eh 0LEL0Cp.h l kaultlv LraicgbhAt9ss 5rIe1sGegrcvZe4de.f Y IMeagd5ey mwliqtyht GINnOfwiDn9ixtyeP AGNepoImAektIreyK.N Worksheet by Kuta Software LLC Geometry Unit 4 - Review #3 E y2t041x3b qkpuvtdad zsdoifmtawqaqr JeC xl3lece.s A SAPlVlB brtioglhut5s4 nriebsdeer4vre2dv.z State if the two triangles are congruent. If they are, state how you know. 1) 2) ID: 1 Name Date Period 3) 4) State what additional information is required in order to know that the triangles are congruent for the reason given. 5) HL 6) AAS X X H J Y Z W V I L

2 -2- a h2z091j3e DKguvthab esnowfktmweawr3ep qlpl8ct.x V HAkltlI yroiogwh3t9sa LrMeYsFeHrJvpeOdO.g g 2MVabdaep LwZiptrhU yian2f5ilneijt8er SG8elopm7eQt7ryy5.C Worksheet by Kuta Software LLC 7) SSS 8) SAS D U U R F E V W S T Find the value of x. 9) 50 10) x x 60 11) m 2 = 9x ) m 2 = 6x State if the three numbers can be the measures of the sides of a triangle. 13) 10, 1, 11 14) 18, 11, 7

3 -3- M q220j1w3t LK1untMaJ xsmowfkthwaaarue 0 ZLuLqC9.j f FAclilt sroiaghhitjsp Wr0e is7e CrjvReZdW.r 8 vmkaydcej twui7txhf nidnnfkifnqi4teec cgqe5ohmweptprbyt.l Worksheet by Kuta Software LLC Two sides of a triangle have the following measures. Find the range of possible measures for the third side. 15) 45, 36 16) 38, 43 For each triangle, construct the altitude from vertex A. 17) A Construct the bisector of each angle. 18)

4 H0H1z3h UK6uPtjaw tsao6fnt5wsafr6e9 GLhLyC U.D 2 xaflyl7 rrii0gphrt0s2 MraedsBeDr8vHe0dY.e o emeazdpes UwPibtThh nidnaf6ihnjittaei agwero1msettjreyg.2 Worksheet by Kuta Software LLC For each triangle, construct the median from vertex A. 19) A Classify each triangle by its angles and sides. 20) ) ) ) )

5 -5- O d2i0x193f GKbuVtRaj bsaohfwtpwma0r5eb 4LyLACM.5 u 3AelIlN Vrhi8gihItgsn crrelszenrdvpevdn.b s 1MaamdMeW dwaittehx 7ILnaftiWnyi9tWeo OGOeOozmveVtZrGyI.a Worksheet by Kuta Software LLC 25) Solve for x. 26) G 21x + 4 F 52 E 27) T Q 10x 10 14x 6 R 5x S D 28) x ) x ) 31) x 12x x x

6 -6-4 g2j0t1d3q 8K9uLtYaP 3SXodf3ttwva9rUei 2LoL8CP.H a EAglelM Gr2iEgzhBtbsJ wr8ezsse3rnvreydt.l S hm0acdhei 5wGibt6h0 DIenvfri8nCiKt4ei SGEeeoNmLeSt7rbys.a Worksheet by Kuta Software LLC 32) 33) 6x + 2 7x x 15x + 5 Find the measure of the angle indicated in bold. 34) 35) 6 + 8x x 9x x 6 Find the midpoint of the line segment with the given endpoints. 36) (8, 7), ( 1, 6) Find the other endpoint of the line segment with the given endpoint and midpoint. 37) Endpoint: ( 1 5, 5 3), midpoint: ( 1 5, 4 ) Find the distance between each pair of points. 38) ( 2, 8), (2, 8)

7 -7- V x240r1v3v bkmujtta8 os5obfntbwnaxrpec ilhlccs.u 1 GAIlql4 Rrxiug0hItpsJ drhefspedrtv7evdn.a H GMAavd0eo jwqi7thhk oiynhfciqntiat met JGleVodmSejtHr5yW.9 Worksheet by Kuta Software LLC Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary. 39) y x 4 Points A, B, C, and D are collinear and positioned in that order. Find the length indicated. 40) BC = 2x + 101, CD = 3x + 127, AB = 9x + 387, and AD = 167. Find CD. 41) Find BC if CD = 3, AD = 6x + 532, AB = 3x + 227, and BC = 4x Write the slope-intercept form of the equation of the line described. 42) through: (0, 3), perp. to y = 5x 2 43) through: ( 1, 3), parallel to y = x 1 Name each angle in four ways. 44) S 3 T U

8 -8- K Y2n0J1W3w OKyuTtBav nsho4fut 7wWamrfev MLFLjC5.1 Y 3ARlPlQ FrWiyg0h6tLsY DrVe4sOedrSv6eFdg.o q XMyaZdTe0 wwgijtjh9 ZI0n7fciKnCiYtUeK kgeebojmoectdrryb. g Worksheet by Kuta Software LLC Name all the angles that have V as a vertex. 45) S V 3 4 R 46) m PQR = 158, m PQC = 13x, and m CQR = 3x 2. Find m CQR. Q P R Q C 47) m KLN = 6x 4, m NLM = 41x 4, and m KLM = 180. Find m NLM. N K L M Write the contrapositive of the given conditional statement and then, if possible, write a counterexample to the c.s.. 48) If it flies, then it's a bird. 49) Define and give an example of deductive reasoning.

9 1 W2g0E1h3M dkduttias US6ogfCtBwGahrveB blwlkcr.a N baalbl0 rrzikgihmtks5 zrgeasneirivjendq.m Q LMYa2dees AwXiPtfhQ JIknufdiYntiDt0ec bggeaoamde8tjr5yk.f -9- Worksheet by Kuta Software LLC Answers to Unit 4 - Review #3 (ID: 1) 1) ASA 2) AAS 3) SSS 4) Not congruent 5) YX ZL 6) WX IH or XV HJ 7) FD UW 8) TS US 9) 65 10) 60 11) 14 12) 11 13) No 14) No 15) 9 < x < 81 16) 5 < x < 81 17) A 18) 19) A 20) acute scalene 21) right scalene 22) right scalene 23) acute scalene 24) right isosceles 25) right isosceles 26) 6 27) 11 28) 8 29) 8 30) 6 31) 4 32) 8 33) 5 34) 58 35) ) ( 3 1 2, ) 2) ( 1 5, ) ) 4.1 3) 40) 31 41) 83 42) y = 1 5 x ) y = x ) T, 3, UTS, STU 45) 3, 4, SVQ 46) 28 47) ) If it's not a bird, then it doesn't fly. CE: Airplane, Bee, etc. 49) Deductive reasoning is reasoning from facts, laws of logic, known algebraic properties and definitions to come to a conclusion. Example: 3x=21, therefore x=7.

Name: 2015 Midterm Review Period: Date:

GEOMETRY Name: 2015 Midterm Review Period: Date: To be prepared for your midterm, you will need to PRACTICE PROBLEMS and STUDY TERMS from the following chapters. Use this guide to help you practice. UNIT