END OF COURSE GEOMETRY

1 VIRGINIA STANDARDS OF LEARNINGS pring 2009 Released TestEND OF COURSEGEOMETRYForm M0119, CORE 1 This released test contains 1 fewer test item (#1-44 only) than an original SOL EOC GEOMETRY of the Virginia Department of Education 2009 by the Commonwealth of Virginia, Department of Education, Box 2120, Richmond, Virginia 23218-2120. All rights reserved. Except as permitted by law, this material may not be reproduced or used in any form or by any means, electronic or mechanical, including photocopying or recording, or by any information storage or retrieval system, without written permission from the copyright owner. Commonwealth of Virginia public school educators may reproduce any portion of these released tests for non-commercial educational purposes without requesting permission. All others should direct their written requests to the Virginia Department of Education, Division of Student Assessment and School Improvement, at the above address or by e-mail to Release 2/19/10 12:14 PM Page 1VA517571_GM Release 2/19/10 12:14 PM Page 2 GEOMETRY Formula SheetGeometric FormulasPi227V = 2lw + 2lh + 2whlhwA = h(b1+b2)12b1b2hrhA = lwp = 2(l + w)lwrc2 = a2+ b2acbr43hlr13V = + B1312hlBA = bh12bhA = bhbbhhV = = +2 BAbbreviationsVolumeVLateral of BaseBGeometric SymbolsExampleMeaningAangle AAmeasure of angle AmABAB line segment ABAB line ABABABC triangle ABCAB measure of line segment ABABCD rectangle ABCDABCD parallelogram ABCDE xampleMeaningvector ABright angleCDLine AB is parallel toline A is congruent toangle A is similar totriangle AB is perpendicularto line markedsegments are marked anglesare 2006 by the Commonwealth of Virginia Department of EducationVA517571_GM Release 2/19/10 12.

2 14 PM Page 3VA517571_GM Release 2/19/10 12:14 PM Page 43 GeometryDirectionsRead each question and choose the best answer. SAMPLEIf is similar to Which replaces the ? tomake the statement true?AACBAECDEDBC ADEABADAE,then:?:.= ABCABCEDVA517571_GM Release 2/19/10 12:14 PM Page 341 In the figure shown, What is A20 B40 C50 D76 m 1?12mxmx = + = +141226 8() and () .VA517571_GM Release 2/19/10 12:14 PM Page 452 In each of the following figures, transversal ccuts lines aand b. In whichfigure are and corresponding angles? 2 1 Fcab21 Gcab21 Hcab21 Jcab21VA517571_GM Release 2/19/10 12:14 PM Page 563 The arcs for a compass and straightedge construction are shown construction is apparently being made?ATwo lines parallel to BTwo congruent anglesCA segment congruent to DThe perpendicular bisector of MNMNMN MNVA517571_GM Release 2/19/10 12:14 PM Page 674 Which two segments in the drawing above are most likely parallel?FGHJEFGHandABEFandCDABandCDGHan d5-5-4-4-3-3-2-2-1-1-O1234512345xyABCDEF GHVA517571_GM Release 2/19/10 12:14 PM Page 786 Two lines intersect as is the value of x ?

3 F20G40H50J60(2x + 20) 60 5 Which segment has a measure equal to 12()?PQPQABCDVA517571_GM Release 2/19/10 12:14 PM Page 897 In this figure, transversal eintersects lines a, b, c, and lines mustbe parallel?Aaand cBband cCband dDaand d70 120 aebcd130 70 8 In the diagram, Which is closest to the value of x ? = + = 161229 4() and () .VA517571_GM Release 2/19/10 12:14 PM Page 9109 In this figure, line tis a transversal of lines mand of the following statements determines that lines mand nare parallel?ABCare complementaryDare supplementary 68and 35and 27 14tmn86754231VA517571_GM Release 2/19/10 12:14 PM Page 101110 For what value of xis line lparallel to line min this figure?F42G48H132J138x 48 lm11 Amber constructed as of the following statements mustbe true?ABCDmCBDmABC = 2mABDmCBD = BDBA=2 BABC=ADCBBDVA517571_GM Release 2/19/10 12:14 PM Page 111212 What value of xmakes FGHJx= DEFJLK ? 42 JKL60 78 x13 Mr. Ammons is constructing a walkway through his rectangular garden.

4 Thewalkway runs diagonally as shown in the is closest to the length of the walkway? ft24 ft15 ftGardenWalkwayVA517571_GM Release 2/19/10 12:14 PM Page 121314 In the triangle shown, Which statement is true about the angles in Fis the greatestGis the greatestHis the leastJis the leastmG mR mG mR RGB?BGR7811 GRBRBG== =1187,, Consider the following is the inverse of the statement?ABCDIf, If, 248If, 248If, , Release 2/19/10 12:14 PM Page 131416 Which drawing contains a pair of similar triangles?F11122422G40O30OH13125J5586VA5 17571_GM Release 2/19/10 12:14 PM Page 141517 Triangle ABCis an equilateral triangle with side lengths of 10 is the length, in inches, of A5 BCD535210 33AD?ADBC18 John wants to make a triangular garden. Which of the following are possible dimensions?F4 ft by 5 ft by 10 ftG6 ft by 6 ft by 12 ftH6 ft by 8 ft by 10 ftJ8 ft by 12 ft by 20 ftVA517571_GM Release 2/19/10 12:14 PM Page 151619 A drawing of Mark s kite is shown is the length of the short section of the outer frame indicated by xinthe drawing?

5 A16 Release 2/19/10 12:14 PM Page 161720 Which Venn diagram represents all the following set of statements? Some triangles are acute. Some triangles are obtuse. No triangle is both acute and obtuse. Some acute triangles are Release 2/19/10 12:14 PM Page 171821 Which lists the sides of in order from shortest to longest?ABCDBCBDCD,,BDCDBC,,BCCDBD,,CDBD BC,, BCD60 40 DCBVA517571_GM Release 2/19/10 12:14 PM Page 181922 With the information given in the drawings, which pair of triangles can beproven congruent by the Side-Angle-Side postulate?FGHJVA517571_GM Release 2/19/10 12:14 PM Page 192023 Given: What is the length, to the nearest meter, of A342 mB364 mC500 mD940 mRS?RSQ1,000 meters QRSm Qm Swhere and = =209024 Which of the following quadrilaterals is nota parallelogram?FRectangleGRhombusHSquareJ TrapezoidVA517571_GM Release 2/19/10 12:14 PM Page 202125In parallelogram ABCD, the measure of is CABDC(10x 30) (6x + 6) 26 In the diagram, is tangent to the circle at point A, andintersects thecircle at points Cand is the value of x?

6 F3G4H5J6 BxA5DC4 BDABVA517571_GM Release 2/19/10 12:14 PM Page 212227In the drawing above, what must be the coordinates of Dto show ABCDis a square?ABCD()44,()45,()47,()77,(1, 4)(4, 1)(7, 4)AyxCBVA517571_GM Release 2/19/10 12:15 PM Page 222328 Given the polygon shown above, F360 G540 H720 J900 mA mF mE mD mC mB + + + + + =ABCDEFVA517571_GM Release 2/19/10 12:15 PM Page 232429 The circumference of circle Cis What is the length of ABCD96 48 16 8 AMB ?120 MCAB144 .VA517571_GM Release 2/19/10 12:15 PM Page 242530 Rectangle LMNO represents a park that has walking paths thatintersect at P. The length of is 195 feet, and the length of is 360 is the length of one of the walking paths?F150 ftG195 ftH360 ftJ390 ftMNOLPMO,MNPNLNMOand31 What is the measure of in quadrilateral ABCD ?A46 B56 C86 D96 ABCD96 124 94 CVA517571_GM Release 2/19/10 12:15 PM Page 252633 When tiles are tessellated in a plane, what angle measure sum is required ofthe tiles surrounding a single point?

7 A90 B180 C360 D720 32In circle O, the degree measure of is F45 G90 H135 J180 AC OCAVA517571_GM Release 2/19/10 12:15 PM Page 262734 This solid figure is constructed with seven shape represents the top view of this three-dimensional solid?FGHJVA517571_GM Release 2/19/10 12:15 PM Page 272836 Which of the following nets could notbe folded along the dotted lines to forma cube?FGHJ35 Which is closest to the total surface area of a cylinder with a radius of 5 inches and a height that is equal to its diameter?A314 sq sq sq sq Release 2/19/10 12:15 PM Page 282937 The radius of Sphere Ais 2 inches, and the radius of Sphere Bis 4 many times larger is the volume of Sphere Bcompared to the volume ofSphere A ?A2B3C4D838 A cylinder has a diameter of 10 inches and a height four times its is its volume?FGHJ40 000,cuin. 4 000,cuin. 2 000,cuin. 500 cu Release 2/19/10 12:15 PM Page 293040 A trapezoid is located entirely in quadrant II. If this trapezoid is reflectedacross the x-axis, in which quadrant will the new trapezoid be located?

8 FIGIIHIIIJIV39are connected to form a is the midpoint of ABCD()22, (.)315, ()41, ()03, SR? 1 1 2 4 3 5 6 7 81123456783524786 2 3 4 5 Oxy 6 7 8 RPQSPQRS(, ),( , ),( , ), and (,) 3517814 5VA517571_GM Release 2/19/10 12:15 PM Page 303141 Rectangle ABCDis placed on a grid as is closestto the length of diagonal 1 1 2 4 3 51123453524 2 3 4 5 OxyABDC42 Which of the following letters has both line symmetry and point symmetry?SDMHFSGDHMJHVA517571_GM Release 2/19/10 12:15 PM Page 313243 Triangle ABCwas transformed into triangle A B C . Which term mostaccurately describes this transformation?ATessellationBReflectionC RotationDTranslation987654321-1-3-4-5-6- 7-8-9-29876543210-1-2-3-4-5-6-7-8-9xyBB' C'A'ACVA517571_GM Release 2/19/10 12:15 PM Page 3244 A quadrilateral is placed on a grid as apparent midpoint of is FGHJ(., .)15 25(., .)15 15(., .)05 35(., .) 05 05BD54321-1-2-3-4-5-6-5-4-3-221345-1 OyxADBC33VA517571_GM Release 2/19/10 12:15 PM Page 33 Test Sequence NumberCorrect AnswerReportingCategoryReporting Category Description1B001 Lines and Angles2G001 Lines and Angles3D001 Lines and Angles4F001 Lines and Angles5D001 Lines and Angles6F001 Lines and Angles7A001 Lines and Angles8F001 Lines and Angles9B001 Lines and Angles10H001 Lines and Angles11C001 Lines and Angles12G002 Triangles and Logic13B002 Triangles and Logic14H002 Triangles and Logic15D002 Triangles and Logic16F002 Triangles and Logic17D002 Triangles and Logic18H002 Triangles and Logic19B002 Triangles and Logic20F002 Triangles and Logic21B002 Triangles and Logic22F002 Triangles and Logic23A002 Triangles and Logic24J003 Polygons and Circles25C003 Polygons and Circles26J003 Polygons and Circles27B003 Polygons and Circles28H003 Polygons and Circles29C003 Polygons and Circles30J003 Polygons and Circles31A003 Polygons and Circles32G003 Polygons and Circles33C004 Three-Dimensional Figures34H004 Three-Dimensional Figures35B004 Three-Dimensional

9 Figures36J004 Three-Dimensional Figures37D004 Three-Dimensional Figures38F004 Three-Dimensional Figures39D005 Coordinate Relations and Transformations40H005 Coordinate Relations and Transformations41D005 Coordinate Relations and Transformations42J005 Coordinate Relations and Transformations43B005 Coordinate Relations and Transformations44F005 Coordinate Relations and TransformationsAnswer Key-EOC021-M0119VA517571_GM Release 2/19/10 12:15 PM Page 34If you get this many items correct:Then your converted scale score is:0000117522103231424752606271728082899 2961030411310123171332314329153341634017 3451835119356203612136622371233762438125 3872639227397284032940830414314203242633 4323443935446364543746238471394814049241 50542522435444458045600 GEOMETRY , Core 1VA517571_GM Release 2/19/10 12:15 PM Page 35