END OF COURSE GEOMETRY - SolPass

1 VIRGINIA STANDARDS OF LEARNINGCORE 1 Property of the Virginia Department of EducationAll rights reserved. Except as permitted by law, this material may not be reproduced or used in any form or by anymeans, electronic or mechanical, including photocopying or recording, or by any information storage or retriev al system,without written permission from the copyright owner. Commonwealth of Virginia public school educators may reproduce any portion of these released tests for noncommercial educational purposes without requesting others should direct their written requests to the Virginia Department of Education, Division of Assessment andReporting, at the abov e address or by e-mail to OF COURSE 2007 by the Commonwealth of Virginia, Department of Education, Box 2120, Richmond, Virginia 2006 Released TestGeometry Formula SheetGeometric FormulasPi227V = 2lw + 2lh + 2whlhwA = h(b1 + b2 )12b1b2hrhA = lwp = 2(l + w)

2 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 Education2006_GeoFormulaSht1 12/2/05 10:07 AM Page 12006_GeoFormulaSht1 12/2/05 10:07 AM Page 2 DIRECTIONSRead and solve each question. Then mark thespace on your answer document for the ABCis similar to ADE, thenAB:AD ?:AE. Which replaces the ? to make the statement true?

3 AAC BAECDEDBC1 Which of the following is the measureof the supplement of CAB?A42 B90 C132 D142 2 Two parallel sections of pipe are joinedwith a connecting pipe as shown. Whatis the value ofx?F90 G115 H135 J160 3 Parallel lineslandmare cut bytransversalt,m 4 m 5, andm 6 m is the measure of 8?A120 B90 C65 D45 ABCEDACB42 45 xl45867mtGeometry34 What are the measures of twocomplementary angles if the differenceof their measures is 18 ?F36 ,54 G41 ,49 H81 ,99 J86 ,94 5 Linenintersects linesp,q,r, ands,forming the indicated two lines are parallel?ApandqBpandrCqandrDrands6 Which will prove that linelis parallelto linem?F 2 7G 3 6H 5 2J 7 1O130O40O50O351234567847 Which two points determine a lineparallel toQR ?A(1, 1) and (2, 1)B( 1, 1) and ( 2, 3)C(1, 4) and (5, 2)D(2, 1) and ( 2, 1)8 Given: m 1 110 Which must be true ify z?

4 Fm 8 100 Gm 7 110 Hm 6 80 Jm 5 110 9 For the construction shown above,which of the following arcs must bedrawn first?A1B2C3D4-5-5-4-4-3-3-2-2-1-1O12345 12345(1, -2)( -1, 2)QRyz123456781234510 Which segment is apparentlycongruent toAB?FAWGAXHAYJAZ11 Which line is apparently perpendiculartoAB ?APW BPX CPY DPZ 6 According to the Venn diagram above,which is true?All cars have automatic transmissionsand rear-wheel cars have 4 cylinders and cars have rear-wheel cars have automatic transmissionsand 4 set of statements represents aninvalidargument?If I work, then I will make I make money, then I will buy I work, then I will buy we pass GEOMETRY , then we will we play sports, then we will get we do not get a trophy, then we didnot pass Mark goes camping, then he will Mark goes fishing, then he will Mark does not buy bait, then he willgo it is your birthday, then you willget ice you get ice cream, then you willget it is your birthday, then you willget Features1213 FGHJABCD7 TrianglesABCandEFGare similarwith measurements in centimeters is the perimeter of triangleEFG?

5 21 cm24 cm36 cm42 cmWhich is the contrapositive of thestatement below?If you do your homework, then youwill be prepared for the you are prepared for the test, thenyou did your you are not prepared for the test, thenyou did not do your you do your homework, then you willbe prepared for the you do not do your homework, thenyou will not be prepared for the triangleXYZis similar to triangleXLM, then XM:XZ XL:XYXM:XZ XY:XLXL:LM YZ:XZXL:LY XZ:MZGiven:ABCDis a : ABD CDB A COpposite angles of aparallelogram are BCOpposite sides of aparallelogram are CDOpposite sides of aparallelogram are , ABD CDBby whichpostulate/theorem?SSAASASASAASABCGE F75910 YZMLXBCAD14151617 FGHJABCDFGHJABCD8 three boys are in a field flying from above, the angle at Kyle,K, measures 45 , and the angle at Jake,J, measures 65.

6 Which shows the distances betweenthe boys in order from least togreatest?LJ,JK,KLKL,KJ,LJKJ,LK,JLLJ,LK ,JKUsing the information in the drawing,which angle has the least measure? XZY XYZ ZXY YZXW hich of the following couldnotbe thelengths of the sides of a triangle?8 in., 19 in., 15 in., 3 in., 9 in., 5 in., 6 in., 8 in., 9 45 YXZ525052181920 FGHJABCDFGHJ9A fire truck has a ladder that canextend to 60 feet in length. The laddercan be safely raised to a maximumangle of 75 with the the height of the firetruck itself, which is closest to themaximum height that the ladder cansafely reach?sin 75 75 75 ftScotty is making a train of dominoeson the many dominoes are needed tocomplete the triangle?6121836 8 Dominoes10 Dominoes2122 ABCDFGHJ10 Using the measures shown, whichtriangle must be a right triangle?

7 CBA7 cm4 cm8 cmEFD5 ft3 ft4 ftLKJ12 m13 m5 m23 ABCDThe spokes on a wagon wheel formtwelve congruent central is the degree measure ofWG ?F30 G90 H120 J150 ANOWG2411 XYZWis a of the following isnotnecessarilytrue?AXY WZBYZ WZCXZ WYDXY XWIn the drawing, aregularpolygon ispartially covered by a is the number of sides of thispolygon?F12G10H8J6 XYZW135 252612If E C, what is m E?A110 B120 C135 D150 three vertices of a parallelogram havecoordinates (1, 4), (3, 8), and (5, 0).What are the coordinates of thesecond-quadrant vertex?F( 3, 12)G( 1, 4)H(1, 4)J(9, 4)If m AOB 45 in circleO, what ism ACB? B45 D90 ADCBEyx 9 8 6 5 4 3 2 1 1 2 3 4 5 6 8 90123456789123456789 7 7 CABO45 27282913 ChordsABandCDintersect, formingsegments with the measures is the value ofx?F5G8H10J24A regular pentagon and a regularhexagon share a side as shown inthe is the measure of ABG?

8 A108 B120 C132 D144 In the rectanglePQRS,m 1 50 .What is m 2?F130 G85 H70 J65 The sum of mAB and mBC is equalto A360 mAC B240 mAC C180 mAC D120 ODCAB436xABCDEFGHIRPQS123031323314A swimming pool is being filled at therate of 12 cubic yards per minute. Ifthe pool is 18 yards long, 10 yardswide, and 3 yards deep, how manyminutes will it take to fill the pool?F45 minutesG101 minutesH540 minutesJ1,233 minutesThis drawing shows cubic boxesstacked in the corner of a each box will hold 8 cubic feet, whatis the total capacity of the stack ofboxes?A488 cubic feetB496 cubic feetC504 cubic feetD512 cubic feet3435 Which of the following nets can befolded along the dashed lines to forma cube?FGHJ3615A machine for baling hay producescylindrical bales that are 6 feet indiameter and 513feet in is closest to the number of cubicfeet in each bale of hay the machineproduces?

9 A100B151C301D60337A boy knows that his height is 6 the time of day when his shadow is4 feet, a tree s shadow is 24 is the height of the tree?F36 ftG24 ftH18 ftJ12 ft2424463816 The cylinders shown are is the volume of the largercylinder?A56 m3B224 m3C896 m3D3,584 m314 m2 m8 m39If parallelogramABCDis translated sothat the new location of pointDis( 1, 2), what would be the new locationof pointB?F( 5, 0)G( 3, 4)H( 2, 5)J(1, 4)yx 5 4 3 2 1 1 2 3 4 501234512345 ADCB4017 TriangleA B C is a transformation A ,B B , andC C ,A B C isa Areflection of triangleABCacross linelB180 rotation of triangleABCaboutPointPCtranslation of triangleABCacross thelinelD90 rotation of triangleABCacross thelinelWhat is most likely the slope of the linegraphed above?F 1G 12H12J1CC'AA'BB'lP-1-1-2-4-3-51123453524 -2-3-4-5O414218 What is the point of intersection ofBDandAC?

10 A(3, 3)B(3, 4)C(4, 4)D(4, 3)The figure shown is apparentlysymmetric with respect to FlinelonlyGlinemonlyHboth lineslandmJneither linelnor linemWhat is the midpoint of the segmentjoining (12, 2) and ( 5, 7)?A(9, 17)B(5, 3)C( , )D( , )yx (1, 7) (7, 7) (1, 1) (7, 1)lm43444519 Test Sequence NumberCorrect AnswerReporting CategoryReporting Category Description1C 001 Lines and Angles2H001 Lines and Angles3B001 Lines and Angles4F001 Lines and Angles5B001 Lines and Angles6J001 Lines and Angles7A001 Lines and Angles8J001 Lines and Angles9A001 Lines and Angles10J001 Lines and Angles11A001 Lines and Angles12J002 Triangles and Logic13C002 Triangles and Logic14J002 Triangles and Logic15B002 Triangles and Logic16F002 Triangles and Logic17C002 Triangles and Logic18J002 Triangles and Logic19C002 Triangles and Logic20G002 Triangles and Logic21B002 Triangles and Logic22F002 Triangles and Logic23D002 Triangles and Logic24H003 Polygons and Circles25D003 Polygons and Circles26H003 Polygons and Circles27C003 Polygons and Circles28G003 Polygons and Circles29A003 Polygons and