VA526036 GM RB - Virginia Department of Education

1 Virginia STANDARDS OF LEARNINGS pring 2010 Released TestEND OF COURSEGEOMETRYForm M0110, CORE 1 Property of the Virginia Department of EducationCopyright 2010 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.

2 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 3/4/11 7:35 AM Page iVA526036_GM_RB 3/4/11 7:35 AM Page iiGeometry 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 Ais congruent toangle Ais similar totriangle AB is perpendicularto line markedsegments are marked anglesare 2006 by the Commonwealth of Virginia Department of EducationVA526036_GM_RB 3/4/11 7:35 AM Page iiiVA526036_GM_RB 3/4/11 7.

3 35 AM Page iv3 GeometryDirectionsRead each question and choose the best answer. SAMPLEIf is similar to Which replaces the ? tomake the statement true?AACBAECDEDBC ADEABADAE,then:?:.= ABCABCEDVA526036_GM_RB 3/4/11 7:35 AM Page 341 A bisector of contains which line segment?ABCDEFDGDFCGABCEDFGABVA526036_GM _RB 3/4/11 7:35 AM Page 452 Lines mand rare cut by a value of xwill show that line mis parallel to line r ?F20G24H25J33(3x 35) mr(7x 115) 3If lines aand bare parallel, what is the value of x?A120B115C65D60120 abcx d115 VA526036_GM_RB 3/4/11 7:35 AM Page 565 For what measure of in this figure?A26 B59 C69 D95 ADECB26 85 DABDCis 4 Which point lies on the bisector of angle PQR ?

4 FWGXHYJZPRXYQWZVA526036_GM_RB 3/4/11 7:35 AM Page 676 Which line segment is congruent to ?FGHJPTPSPRPQBCABCEPQSRTDVA526036_GM_RB 3/4/11 7:35 AM Page 787 In the figure shown, line qis a transversal of parallel lines l, m, n, and are the values of xand y ?ABCDxy==150150,xy==15030,xy==30150,xy== 3030,lqmnp30 x y VA526036_GM_RB 3/4/11 7:35 AM Page 898 In the figure shown, parallel lines jand k are cut by transversal is F32 G58 H122 J148 m 1?jkm132 VA526036_GM_RB 3/4/11 7:35 AM Page 9109 Lines yand zare cut by a what value of xis A13B77C103D154yz ?y77 x zVA526036_GM_RB 3/4/11 7:35 AM Page 101110 In this figure, What is F31 G65 H85 J115 m 1?

5 12mx mx = = +115521035() and ( ) .11 This figure represents line segments painted on a parking lot to createparking equation can be used to show that these line segments are parallel?ABCDw+=118 180x+=118 180118 =xw118 =wxx 118 w VA526036_GM_RB 3/4/11 7:35 AM Page 111213 Given the following measures of the sides of triangles, which is aright triangle?A41 cm, 40 cm, 9 cmB45 ft, 40 ft, 35 ftC52 in., 50 in., 11 yd, 35 yd, 25 yd12 Given: What is the length of F11G12H22J24AC?BCA5x + 4x + 5 MLN3x + 33x + 110 ABCLMN VA526036_GM_RB 3/4/11 7:35 AM Page 121314 Which of the following statements mustbe true about this Venn diagram?

6 FAll rectangles are rhombi are are not rhombi or quadrilaterals are rhombi and 3/4/11 7:35 AM Page 131416 Statement: If lines are skew, then they are not is the contrapositive of the statement?FIf lines are not coplanar, then they are lines are not skew, then they are lines are coplanar, then they are not lines are skew, then they are Given: In this figure, bisect each on the information given, which triangle congruence theorem could beused to prove AAngle-Angle-Side (AAS)BAngle-Side-Angle (ASA)CSide-Angle-Side (SAS)DSide-Side-Side (SSS) AEDCEB ?ADBECACBDandVA526036_GM_RB 3/4/11 7:35 AM Page 141517 Coordinates are connected to form If is congruent to what are the coordinates of D ?

7 ABCD(, )21(, )22(, )12(, )11 ABC, CDA6543211234567 OABCyx (),(,),and(,)256 46 0,VA526036_GM_RB 3/4/11 7:35 AM Page 151618 Let An equation is of the formLet Its graph is a :If an equation is of the form then its graph is a graph is not a , the equation is not of the form Which of the following is the symbolic representation of the given argument?FGHJ pqpq pqpq pqqp pqqp ymxb=+.ymxb=+,q=ymxb=+.p=VA526036_GM_RB 3/4/11 7:35 AM Page 161719is a right is closest to the length of A5B11C14D28RT?RTG1722 TRGVA526036_GM_RB 3/4/11 7:35 AM Page 171821 Three survey markers are located on a map at points H, I, and J.

8 A triangle isformed by connecting these markers by string so thatandWhich statement is true about the measures of the angles ofABCDmI is the largestmI is the smallestmH is the largestmH is the smallest HIJ?IJ=365 feet .HJ=245 feet ,HI=150 feet ,20 Which list has the sides of ordered from longest to shortest?FGHJBC AB AC,,AC AB BC,,AB AC BC,,BC AC AB,, ABC75 A50 55 BCVA526036_GM_RB 3/4/11 7:35 AM Page 181922In the figure, what is the value of x?F6 GHJ126362645 x23 Two sides of a triangle measure 14 inches and 8 inches. Which cannotbe thelength of the remaining side?A6 3/4/11 7:35 AM Page 192025 This figure shows a pattern of triangles and regular is the value of x ?

9 A30B60C90D120x 24In the circle, what is the measure of F30 G60 H120 J140 ABC?AB60 C160 VA526036_GM_RB 3/4/11 7:35 AM Page 202126 Which figure has all sides of equal measure but not necessarily all angles ofequal measure?FSquareGRectangleHRhombusJTrapez oid27 What is in circle A ?A17 B34 C56 D68 BRDA34 mDAR VA526036_GM_RB 3/4/11 7:35 AM Page 212229 In rectangle ABCD, the slope of What is the slope ofABCD212 12 2CD? Two chords intersect with the measures shown in the is the value of x? 3/4/11 7:35 AM Page 222330 In the figure shown, what is F45 G107 H120 J135 62 73 YZXWmWXY ?31 DEFGis a rhombus with What is A14 B28 C30 D56 m GDE ?

10 DEGFm EFG =28 .VA526036_GM_RB 3/4/11 7:35 AM Page 232433 A rectangular rug is 24 feet long and 10 feet wide. A rhombus design isformed inside the rug by joining the midpoints of each side of the is the length of each side of the rhombus?A13 ftB26 ftC169 ftD240 ft32 This figure is a traffic sign in the shape of a regular is the value of x ?F45G60H135J180 STOPx VA526036_GM_RB 3/4/11 7:35 AM Page 242534 A man who is 6 feet tall casts a shadow that is 4 feet long. At the same time,a nearby flagpole casts a shadow that is 18 feet long. How tall is the flagpole?F10 ftG12 ftH22 ftJ27 ft35 A fish tank in the shape of a rectangular prism has these dimensions: What is the volume of water in the tank when it is full?