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Geometry Test Chapter 3A Practice Test Ver. I Multiple Choice Identifu the choice that best completesthe statementor answers the question. 1. Which anglesare coresponding angles? 3. Line r is parallel to line /. Find ml5.The diagram is not to scale. a b a. b. c. d. lSand216 lTandlS l4and Z8 noneofthese 2 . Whichstatement is true? a. 45 b. 3s c. 135 d. 145 4 . Find the valueof the variableif m ll l, mLl:?x +44 andmZS:5x + 38.ThediagramI S not to scale. angles. a. ZCBA andIEBH aresame-side angles. IEBH ZBED are same-side b. and c. ZCBA andZHBE arealternateinteriorangles. d. IEBH andIBED arealternateinteriorangles. a, b. c. d. I 2 a J -2 5 . Find the values ofr and y. The diagramis no.t scale. -9.-mich-liles;r@, cany@ giventhat mll + m/2 = 180?Justiflzyour conclusionwith a theoremor postulate. 74" a. x=77,y--59 o. x= ll.v:)/ c. x:57,"y:77 d . x = 4 7 , y =5 7 6 . Completethe statement. If a transversalintersects two parallellines,then_. a. corresponding anglesare supplementary b. same-side interioranglesarecomplementary c. altemateinterioranglesarecongruent d. noneofthese Completethe statement. If a transversalintersects two parallellines,then_ anglesare supplementary. a. acute b. alternate interior c. same-side interior d. conesponding a. j ll k, by the Converse of the Same-Side InteriorAnglesTheorem b. j ll k, by theConverse of theAlternateInterior AnglesTheorem c. g ll h, by theConverse of theAlternate InteriorAnglesTheorem d. g ll h, by the Converse of theSame-Side InteriorAnglesTheorem 1 0 . mZl = 6r andml3 = 120.Findthevalueof x forp to be parallelto q. Thediagramis notto scale. 8 . FindmlQ. Thediagramis not to scale. a. b. c. d. a. b. c. d. 60 t20 110 70 114 126 120 20 11. lf c Lb ud" ll c,whatism2? a. 90 b. 106 c. 74 d. not enoughinformation 12. Find thevalueof fr.The diagramis not to scale. 14. Classi$the triangleby its sides.The diagramis not to scale. a. b. c. d. straight scalene isosceles equilateral 1 5 . ClassifuMBC by its angles,whenmlA :32, m l B : 8 5 , a n dm Z C : 6 3 . a. right b. straight c. obtuse d. acute 1 6 . Find the valueof x. The diagramis not to scale. a. l7 b. 73 c. 118 d. r07 1 3 . Find thevaluesof x, y, andz. The diagramis not to scale. a. 55 b. 162 c. 147 d. 75 t 7 . Find the valueof the variable.The diagramis not to scale. A. b. c. d. . r = 8 6 y, = 9 4 , 2 = 6 7 x=67,!=86,2=94 x=670!=94,2=86 x=86,y=6'l,z=94 a. b. c. d. 66 r9 29 43 'l 18. Find the value of .r. The diaeram is not to scale. Given: ISRT = ISTR. nZSRT = 20. mZSW = 4x 1 9 . Which figure is a convex polygon? a {--]| I t I t R a . 5 b. 24 c. 20 d. 40 d. 20. Classifu thepolygonby itssides. a. b. c. d. triangle hexagon pentagon octagon 2 1 . The chips usod in tfie boild gme MailhFuries have the shapeofhexagons. How many sides does each MathFuries chip have? a . 5 b . 6 c . 8 d. 10 22. Find the sum of the measuresof the angles of the figure. 25. The sum ofthe measuresof two exterior angles of a triangle is 255. What is the measureof the third exterior angle? a. 75 b. lls c. 105 d. 9s 26. The PolygonAngle-SumTheoremstates:The sum of the measures of the anglesof an n-gonis _. n-2 a' r8o b. (tz- l)180 180 c' ,J d. (n - 2)180 27. Completethis statement.The sumof the measures a. b. c. d. 540 180 360 900 23. How manysidesdoesa regularpolygonhaveif eachexterioranglemeasures 20? a. l7 sides b. 20 sides c. 2l sides d. l8 sides 24. Findthemissinganglemeasures. Thediagramis not to scale. a. b. c. d. ofthe exterioranglesofan n.gon,oneat each vertex,is _. a . ( n- 2 ) 1 8 0 b. 360 (n - 2)180 c. n l80z d. 28. Completethis statement. A polygonwhosesidesall havethe samelensthis saidto be a. regular b. equilateral c. equiangular d. convex x= 124,y:125 x= 56,y: ll4 . x =1 1 4 , y = 5 6 x= 56,y= 124 ) 29. Find m/.A. The diaeramis not to scale- a. 107 b. tt7 c. 63 d. 13 3 0 . A nonregular hexagonhasfive exteriorangle measures of 55,60, 69,57, and5l . Whatis the measure of the interiorangleadjacentto the sixth exteriorangle? a. 128 b. It8 c. 62 d. t08 Geometry Test Chapter 3A Practice Test Ver. I Answer Section MULTIPLE CHOICE of ParallelLines REF: 3-1Properties DIF: L2 PTS: I 1. ANS: A 7.0 GEOM 4.01 CA GEOM 2.01 CA GEOM CA STA: OBJ: 3-1.1IdentifiingAngles lines parallel anglesltransversal KEY: corresponding I TOP: 3-l Example1 of Parallellines Properties REF: 3-l L2 DIF: PTS: 1 2. ANS: D 7.0 4.0lCA GEOM GEOM 2.0lCA GEOM STA: CA OBJ: 3-1.1IdentiflingAngles angles interior interioranglesI alternate KEY: same-side TOP: 3-l ExampleI of ParallelLines REF: 3-l Properties L2 DIF: PTS: 1 3. ANS: c 7'0 GEOM 4.01 CA CA GEOM 2.01 of ParallelLines STA: CA GEOM OBJ: 3-1.2Properties angles interior KEY: parallellinesI alternate TOP: 3-l Example4 of ParallelLines REF: 3-1Properties DIF: L2 PTS: 1 4, ANS: B 7'0 GEOM 4.01 CA GEOM 2.0lCA of ParallelLines STA: CA GEOM OBJ: 3-1.2Properties anglesI parallellinesI KEY: corresponding TOP: 3-1 Example5 of ParallelLines REF: 3-1 Properties DIF: L2 PTS: 1 5. ANS: B 7'0 GEOM of ParallelLines STA: CA GEOM2'01CA GEOM4.01CA OBJ: 3-1.2Properties anglesI parallellines KEY: corresponding TOP: 3-l Exampte5 of ParallelLines REF: 3-l Properties DIF: L2 PTS: I 6, ANS: c 7'0 GEOM CA GEOM4.0lCA of ParallelLines STA: CA GEOM2.01 OBJ: 3-1.2Properties KEY: transversal I parallellines of ParallelLines REF: 3-l Properties DIF: L2 PTS: 1 7. ANS: c 7'0 GEOM of ParallelLines STA: CA GEOM2.01CA GEOM4.01CA OBJ: 3-1.2Properties angles KEY: transversal I parallellinesI supplementary of ParallelLines REF: 3-1 Properties DIF: L3 PTS: 1 8. ANS: A of ParallelLines STA: CA GEOM2.01CA GEOM4'01CA GEOM7'0 OBJ: 3-1.2Properties KEY: angleI parallellinesI transversal REF: 3-2 ProvingLinesParallel DIF: L2 PTS: 1 9, ANS: A sTA: CA GEOM2.01CA GEOM4.01CA GEOM7.0 OBJ: 3-2.1Usinga Transversal KEY: parallellineslreasoning TOP: 3-2Example1 Lines pTS: 1 REF: 3-3 ParallelandPerpendicular DIF: L2 IO. ANS: D STA: CA GEOM 7.0 Lines OBJ: 3-3.1RelatingParallelandPerpendicular KEY: Parallellines TOP: 3-3Example2 Lines pTS: REF: 3-3 ParallelandPerpendicular L3 DIF: 1 1 1 . A N S :A 7.0 CA GEOM STA: Lines OBJ: 3-3.1RelatingParallelandPerpendicular linesI transversal KEY: parallellinesI perpendicular TOP: 3-3Example2 DIF: L2 PTS: 1 12. ANS: B REF: 3-4ParallelLinesandthe TriangleAngle-SumTheorem CA GEOM13'0 STA: CA GEOM 12'01 in triangles OBJ: 3-4.1FindingAngleMeasures KEY: triangleI sumof anglesof a triangle TOP: 3-4Example1 DIF: L2 PTS: 1 13. ANS: D Theorem Angle-Sum Triangle the and Lines REF: 3-4Parallel cA GEOMl3'0 STA: CA GEOM 12.01 triangles in OBJ: 3-4.1FindingAngteMeasures of atriangle angles of sum KEY: triangleI TOP: 3-4 ExampleI DIF: L2 PTS: 1 D JJ AI\D: 14. ANS: Angle-Sum Theorem REF: 3-4 Parallel Lines and the Triangle i^-^roo in Triangles OBJ: 3-4'1 Finding Angle Measures l??, ffir:il,*i; 13'0 STA: CA GEOM 12'0lCA GEOM triangle I equilateral I isosceles triangles I scalene triangre I classiffing DIF: L2 PTS: 1 15. ANS: D Angle-SumTheorem REF: 3-4ParallelLinesandthe Triangle STA: CA GEOM 12'0lCAGEOM13'0 triangles ii Measures Angle Finding OBJ: 3-4'1 2 TOP: 3-4 ExamPle triangle right triangleI obtusetriangleI acute KEY: triangleI classiffingtrianglesI r6. orrriangles Angles Exterior Using oBr: 3-4.2 rriangle parauel ,,,iJt*ohe tili: idl!-r,i'l,fheorem 3 ToP: 3-4Example STA: cA GEoM li.of ce GEoM l3:0 triangle KEY: triangle I sum of anglesof a DIF: L3 PTS: 1 17. ANS: B Angle-SumTheorem REF: 3-4 ParallelLines and the Triangle OBJ:3-4.lFindingAngleMeasuresliflangtesSTA:CAGEOM12'0lCAGEOMl3'0 triangle I vertical angles KEY: triangl" l;;; of a:nglesof a r8. tp orrriangles Angles Exterior Using ^ilil,r#.rT:** oBr: 3-4.2 ,-'iJt""olerriangle ?.-Jurr,", KEY: exteriorangle 13'0 STA: CA GEOM f Z OLCAGEOM 1 9 . A N S : D P T S : 1 D I F : L 2 R E F : 3 . 5 T h e P o l y g o n A n g l e - S u m T h e o r e m s OBJ:3-5.lClassifiingPolygonsSTA :CAGEOM12'0lCAGEOMl3'0 KEY: polygonlconvex TOP: 3-5 Example2 2 0 . A N S : B P T S : 1 D I F : L 2 R E F :CAGEOM 3 - 5 T h12'0ICAGEOM e P o l y g o l3'0 n A n g | e - S u m T h e o r e m STA: OBJ: 3-5.1ClassiffingPolygons TOP:3-5Example2KEY:classif,ingpolygons 2 | , A N S : B P T S : I D I F : L 2 n n n ' 3CA - 5GEOM T h e12'0lCA P o l yGEOM g o n13'0 A n g l e - S u m T h e o r e m s STA: Polygons OBJ: 3-5.1Classiflring Theorems PolYgons KEY: classifuing REF: 3-5The PolygonAngle-Sum DIF: LZ I PTS: B 22. ANS: GEoM13'o aTA, cA GEoM12.olcA AngleSums OBJ: 3-5.2PolYgon KEY: sumof anglesof a PolYgon Theorems TOP: 3-5 ExamPle3 REF: 3-5The PolYgonAngle-Sum DIF: L2 I PTS: 23. ANS: D GEoM13'o cA GEoM12'olcA ifn' 5lA: AngleSums OBJ: 3-5.2PolYgon KEY sumof anglesof a PolYgon KEY: 3 TOP: 3-5ExamPle ThePolygonAngle-SumTheorems 3-51 nf,f : 3-5 REF: DIF: LZ 1 PTS: 24. ANS: C cA GEOM.13'0 ;i;, cA GEoM12'01 OBJ: 3-5.2PolYgonAngleSums Angle-SumTheorem Polygon angle I ;;"tior KEY dt, 4 Theorems ExamPle 3-5 Angle TOP: The PolygonAngle-Sum 3-s]!..1o]Ygon REF: 3-5 REF:DrF: Lz I PTS: 25, ANS: C GEOM12'0lcAGEOMl3'0 cA vlv ;i;, ) I n ' \'^ OBJ: 3-5.2PolygonAngle Sums Polygon Angle-SumTheorem KEY: anglettri"igft f titerior angle i 2 6 . A N S : D P T S : I D I F : L Z R E F : 3 cA - 5 GEOM T h e 12'0lcA P o l ; gGEOM o n A 13'0 n g l e - S u m T h e o r e m s Anglesums oBJ: 3-5.2Polv'gon zi ii':: :::ff:r:::' Angle Sums ^'Xt*g:ar-**t"t" ruu.vu "ry^i{; (rDJ: 3-5.2 Polygon OBJ: J-J'z ire' rheorems Angre.sum gon cEoM,2 vn vlvrv-r "-: m; ;'J#',::Jl 3il, ) I r-\' Ll Theorems ----- The PolygonAngle-sum 3.5 R,EF. KEY: PolygonExtenorAng!qirD-r"--"^Om, Lz 13'0 PTS: I 28. ANS: B cn GEOM 12'0lcA GEOM lin' sums oBJ: 3-5.2PolygonAngle Theorems potygoosI equilaterat 3-5 The porygonAngle-Sum *r: KEy: polyg* ruil.riili.g zs i;;r"r-" nn il aHil 0 13 cAGEoM 12o 3i1,L'o.ouo' otT^r^1--" rheorems oraneles sum Angle-sum REF:3-5rhepolvgon ,r. :1,i, Lffi;1il"''ff';*b AngleSums ' oBJ: 3-5'2Polvgon i fngl" ! exteriorangle hexagon KEY: ;iA: CA GEoM 12'0lcA GEOM 13'0