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END OF COURSE GEOMETRY

VIRGINIA STANDARDS OF LEARNINGS pring 2007 Released TestEND OF COURSEGEOMETRYForm M0117, CORE 1 Property of the Virginia Department of Education 2007 by the Commonwealth of Virginia, Department of Education, Box 2120, Richmond, Virginia 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 EOC Geom RB 3/28/08 8:36 AM Page 1 ISD6736 VASpr08 EOC Geom RB 3/28/08 8:36 AM Page 2 GEOMETRY Formula SheetGeometric FormulasPi227V = 2lw + 2lh + 2whlhwA = h(b1+b2)12b1b2hrhA = lwp = 2(l + w)lwrc2 = a2+ b2acbr43hlr13V = + B1312hlBA = bh12bhA = bhbbhhV = = +2 BAbbreviationsVolumeVLater

Geometry 5 Directions Read each question carefully and choose the best answer. Then mark the space on your answer document for the answer you have chosen.

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Transcription of END OF COURSE GEOMETRY

1 VIRGINIA STANDARDS OF LEARNINGS pring 2007 Released TestEND OF COURSEGEOMETRYForm M0117, CORE 1 Property of the Virginia Department of Education 2007 by the Commonwealth of Virginia, Department of Education, Box 2120, Richmond, Virginia 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 EOC Geom RB 3/28/08 8:36 AM Page 1 ISD6736 VASpr08 EOC Geom RB 3/28/08 8.

2 36 AM 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 EducationVASpr08 EOC Geom RB 3/28/08 8:36 AM Page 3 VASpr08 EOC Geom RB 3/28/08 8:36 AM Page 4 Geometry5 DirectionsRead each question carefully and choose the best answer. Then mark the space on your answerdocument for the answer you have is similar to then AB :AD= ?

3 : AE. Which replaces the ? tomake the statement true?AACBAECDEDBC ADE, ABCABCEDVASpr08 EOC Geom RB 3/28/08 8:36 AM Page 561 Transversal lcuts lines a, b, c, and two lines are parallel?Aaand cBaand dCband cDband d75 85 105 100 labcdVASpr08 EOC Geom RB 3/28/08 8:36 AM Page 673 One exterior angle of a regular polygon measures 72 . What is the measure ofone interior angle?ABCD540 360 108 18 2In the figure above,andare a pair of Fconsecutive interior anglesGalternate interior anglesHvertical anglesJcorresponding angles 6 212345678 VASpr08 EOC Geom RB 3/28/08 8:36 AM Page 784 In this drawing,andWhich angle is notnecessarily congruent toFGHJ 16 12 9 3 1?12345678910111213 1415 16abcdcd .ab VASpr08 EOC Geom RB 3/28/08 8:36 AM Page 895 The support legs on a bench are attached in such a way that the angle madeby one leg with the ground isWhat must the measure of the angle marked xbe in order for the seat of thebench to be parallel to the ground?

4 ABCD130 90 65 50 130 x130 .VASpr08 EOC Geom RB 3/28/08 8:36 AM Page 9106 Line vis a is a true statement?FGHJwx xy andwz xy andwx yz andwyxz and70 80 110 100 wxyzvVASpr08 EOC Geom RB 3/28/08 8:36 AM Page 10118 A carpenter nailed a board across two beams, forming the angles equal measures would ensure the beams are parallel?FGHJmm = 34mm = 25mm = 13mm = 124132657In the drawing above,are Aalternate interior anglesBconsecutive interior anglesCcorresponding anglesDa linear pair 412andlmno3125647891013 1411 121615 VASpr08 EOC Geom RB 3/28/08 8:36 AM Page 11129 Which segment is congruent toABCDCNCMCLCKAB?CBAKLMNRVASpr08 EOC Geom RB 3/28/08 8:36 AM Page 121310 Which point apparently lies on the perpendicular to lfrom A?FXGYHZJWAYZXWlVASpr08 EOC Geom RB 3/28/08 8:36 AM Page 131411 One piece of pie is left for two boys to should the pie be cut to ensure each gets an equal piece?

5 ABCDCWCXCYCZWXCYZVASpr08 EOC Geom RB 3/28/08 8:36 AM Page 141513 If the conditional statement If you have a laptop, then you have a computer is represented by what is the symbolic representation of If you have a computer, then you do not have a laptop ?ABCD qp pq qp qp pq ,12then FGHJrp rp pr rp Ifandpq qr ,,VASpr08 EOC Geom RB 3/28/08 8:36 AM Page 151614 In the Venn diagram below, Vrepresents the set of all vehicles, Mrepresentsthe set of all motorized vehicles, and Arepresents the set of all on the diagram, which is a valid conclusion?FAll automobiles are motorized motorized vehicles are automobiles are not motorized automobiles are motorized EOC Geom RB 3/28/08 8:36 AM Page 161715 Which triangle below is notcongruent to the other three triangles?ABCD970 9970 9 VASpr08 EOC Geom RB 3/28/08 8:36 AM Page 171816 Which additional piece of information would prove thatFGHJLM=10NM=15LM=18NM=18 IJKLMN?

6 NLM12 KIJ12108 VASpr08 EOC Geom RB 3/28/08 8:36 AM Page 181918 Which of the following could notbe the lengths of the sides of a triangle?F6 ft, 3 ft, 9 ftG3 cm, 4 cm, 5 cmH4 in., 6 in., 8 km, 2 km, 4 km17 Given: Mis the midpoint given information is sufficient to prove by whichpostulate/theorem?AAngle-Side-Angle BSide-Side-SideCSide-Angle-SideDAngle-An gle-Side KMLPMN JOMKLNPLNKPandVASpr08 EOC Geom RB 3/28/08 8:36 AM Page 192020then FGHJBC AB CA<<<<AB BC CA<<<<AC AB BC<<<<AB AC BC<<<<Inif mmm ABCCBA,, <<19 InWhich lists theangles in order from smallestto largest?ABCD DFE,, EFD,, FDE,, DEF,, DEFDEEFDF,,,minches minches andinchem=== EOC Geom RB 3/28/08 8:36 AM Page 202121 To mark the end of a race, a finish-line banner is stretched across the road asshown in the is closest to the length of the support rope designated by xin thedrawing?

7 Ftx7 ft8 ftFinish LineVASpr08 EOC Geom RB 3/28/08 8:36 AM Page 212222 A baseball diamond is in the shape of a square, 90 feet on a is the direct distance from home plate to second base?FGHJ180 ft90 3 ft90 2 ft90 ft1st Base2nd Base3rd BaseHome90 ft90 ft90 ft90 ftVASpr08 EOC Geom RB 3/28/08 8:36 AM Page 222323 What is the length of a diagonal brace that could be used for a wall 9 feethigh and 12 feet long?A12 ftB13 ftC14 ftD15 ftVASpr08 EOC Geom RB 3/28/08 8:36 AM Page 232425 A diagonal of parallelogram DEFG forms angles with measures as is the measure ofABCD100 80 56 44 DEF?56 44 DGEF24 Gene s horse corral, labeled ABCDin the drawing, is shaped as aparallelogram and is adjacent to the shed, labeled ZAD. If a gate, labeled CF, opens all the way to the corral fence, position labeledCG, through how many degrees does the gate swing?

8 FGHJ140 130 50 40 BZCAFGD40 CorralShedVASpr08 EOC Geom RB 3/28/08 8:36 AM Page 242526 Quadrilateral MNOPis a parallelogram. The coordinates of three of its verticesareare the coordinates of P, what is thevalue of x ?FGHJ0 3 4 5 MNOx15213 22,, ,,, .,()()()() andIfO 5 4 6 7 8 9 3 2 10123456789 11 2 3 4 5 6 7 8 923456789yxNMVASpr08 EOC Geom RB 3/28/08 8:36 AM Page 252628A portion of a regular polygon is shown. The polygon has F15 sidesG16 sidesH18 sidesJ20 sides24 27 Rectangular flowerbeds are built on each side of a fishpond in the shape of aregular is the measure of the angle, x, between two consecutive flowerbeds?ABCD90 60 45 30 xVASpr08 EOC Geom RB 3/28/08 8:36 AM Page 262730 In circle O, the degree measure of is 280 .What is the degree measure of FGHJ40 80 85 160 POR?OPRSPSR 29 Each interior angle of a regular polygon has a measure of 162.

9 The polygonhas a total of A17 sidesB18 sidesC19 sidesD20 sidesVASpr08 EOC Geom RB 3/28/08 8:36 AM Page 272831 What is the value of xin trapezoid ABCD?A17B13C10D7 ABCD2 + 6202640xVASpr08 EOC Geom RB 3/28/08 8:36 AM Page 282932 In circleWhat is the length ofF12 cmG24 cmH25 cmJ65 cmXZ?CYZXWCWXXYYZWY,,,,m m m andcent ==== A pizza has a diameter of 16 inches. Which is closest to the area of one slice ifthe pizza is divided into 6 equal pieces? sq sq sq sq EOC Geom RB 3/28/08 8:36 AM Page 293034 Assuming the solid is constructed from cubes measuring 1 unit on each edgeand that the figure is completely solid, what is the volume of the cubic solidshown above? F12 cubic unitsG34 cubic unitsH59 cubic unitsJ68 cubic unitsVASpr08 EOC Geom RB 3/28/08 8:36 AM Page 303136 Which is closest to the volume of a sphere with a radius equal to 8 centimeters?

10 Cm3H1, cm3J2, cm335 Which could notbe a two-dimensional view of the block of cubes shownabove?ABCDVASpr08 EOC Geom RB 3/28/08 8:36 AM Page 313237 What is the total surface area of a rectangular prism box that measures 5 feetby 1 foot by 1 foot? A5 sq ftB20 sq ftC22 sq ftD30 sq ft38If PQis parallel to ST,what is ST, the width of the lake?F62 metersG70 metersH84 metersJ98 metersQRPTS105 m30 m28 mBlueLakeVASpr08 EOC Geom RB 3/28/08 8:36 AM Page 323339 The ratio of the perimeter ofto the perimeter ofIf the triangles are similar, what is the value ofA3B6C12D18xy+?245xyzUV Vis 1 2:. UVASpr08 EOC Geom RB 3/28/08 8:36 AM Page 333440 Right triangle ABChas the measures is the maximumnumber of different lines of symmetry that can bedrawn throughF0G1H2J3 ABC?345 CBAVASpr08 EOC Geom RB 3/28/08 8:36 AM Page 343541 What is the apparent slope of QV?


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