SESSION: 24 PE: 1 5/5/04 13:29 OIN IS-glenn PT: @sunultra1/raid/s_tpc/rp_va_sprg04/o_04-ribsg11/iv_g11geom-1 VIRINI STNRS O ERNIN SSESSMENTS Spring 2004 Released Test EN O OURSE EOMETRY ORE 1 Property of the Virginia epartment of Education 2004 by the ommonwealth of Virginia epartment of Education, ames Monroe uilding, 101 N. 14th Street, Richmond, Virginia, 23219. ll 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. ommonwealth of Virginia public school educators may photocopy or print any portion of these Released Tests for educational purposes without requesting permission. ll others should direct their requests to the ommonwealth of Virginia epartment of Education at (804) 225-2102, ivision of ssessment and Reporting.
SESSION: 23 PE: 2 5/4/04 15:40 OIN IS-glenn PT: @sunultra1/raid/s_tpc/rp_va_sprg04/o_04-ribsg11/iv_g11geom-1 eometry IRETIONS Read and solve each question. Then mark the space on the answer sheet for the best answer. SMPE If is similar to E, then :?:E. Which replaces the? to make the statement true? E 2 If 3 Y, which of the following must be true? W W Y WX is perpendicular to XY W 2 X 1 3 2 ine l is parallel to YW Y l Y040602 rtodes Y040602.R1 E E Y030542 1 plumber bent a flexible joint into a 136 angle, as shown. e then attached another pipe so that,, and lay on a straight line. rtodes Y030542.R1 136 What is the value of x? 36 44 46 224 2004 ommonwealth of Virginia epartment of Education 2
SESSION: 23 PE: 3 5/4/04 15:40 OIN IS-glenn PT: @sunultra1/raid/s_tpc/rp_va_sprg04/o_04-ribsg11/iv_g11geom-1 3 Which pair of angles is supplementary? 4 In the figure, line t is a transversal for lines l and m. Y030576 t Y030623 rtodes Y030576.R1 Y030576.R2 Y030576.R3 Y030576.R4 35 145 2 rtodes Y030623.R1 1 l m 55 35 Which of the following best describes the relationship between 1 and 2? lternate interior angles onsecutive interior angles orresponding angles lternate exterior angles 25 75 80 80 2004 ommonwealth of Virginia epartment of Education 3
SESSION: 23 PE: 4 5/4/04 15:40 OIN IS-glenn PT: @sunultra1/raid/s_tpc/rp_va_sprg04/o_04-ribsg11/iv_g11geom-1 Y040407 5 ine l intersects lines w, x, y, and z, forming angles with measures as indicated on the drawing. l 7 In the figure drawn below, M and QR are parallel and m M m 60. Y030707 rtodes 110 w Y040407.R1 65 x rtodes Y030707.R1 75 115 Which two lines are parallel? y z What is m QNP? 90 120 150 180 w and x x and z y and z w and y 8 6 (4x 30) x 72 z l Y040578 rtodes Y040578.R1 Y040512 (2x) y w m rtodes Y040512.R1 Which value for x will make a parallel to b? 5 20 35 15 Which additional piece of information would verify l m? x 72 y w z 108 x w 2004 ommonwealth of Virginia epartment of Education 4
SESSION: 23 PE: 5 5/4/04 15:40 OIN IS-glenn PT: @sunultra1/raid/s_tpc/rp_va_sprg04/o_04-ribsg11/iv_g11geom-1 9 R 11 Y110406 rtodes Y110406.R1 Which point lies on the line perpendicular to that bisects? Q R S T Q S T The drawing shows the arcs used to construct a bisector of a given angle an angle congruent to a given angle a bisector of a given line a perpendicular of a given line at a point on the line Y110404 rtodes Y110404.R1 10 Y110579 rtodes Y110579.R1 P Q R Which point lies on the bisector of PQR? 2004 ommonwealth of Virginia epartment of Education 5
SESSION: 23 PE: 6 5/4/04 15:40 OIN IS-glenn PT: @sunultra1/raid/s_tpc/rp_va_sprg04/o_04-ribsg11/iv_g11geom-1 12 onsider the following arguments. If the first two statements are true, in Y01602 which argument is the 3rd statement an incorrect conclusion? 1 If ohn studies, then he will pass the test. 2 If ohn passes the test, then he will not be grounded. 3 If ohn is grounded, then he will study. 1 If it rains, then we will stay inside. 2 Ifwestay inside, then we will play games. 3 Ifitrains, then we will play games. 13 ased strictly on this diagram, which is a valid conclusion? fish owners Pet Owners cat owners dog owners No cat owners also own dogs. No dog owners also own fish. No fish owners also own cats. No pet owner owns more than one pet. 14 onsider the following statements. Y01506 rtodes Y01506.R1 1 Ifwewin the game, then we will win the championship. 2 If we win the championship, then we will get a trophy. 3 Ifwedonot get a trophy, then we did not win the game. p: The sum of two angles is 90. q: The two angles are complements. Which of the following is a symbolic representation of the statement: If two angles are not complements, then the sum of the two angles is not 90? Y01602 1 If Susan eats her broccoli, then she will get ice cream. 2 If Susan gets ice cream, then she will stay up late. 3 If Susan eats her broccoli, then she will stay up late. q p p q q p p q 2004 ommonwealth of Virginia epartment of Education 6
SESSION: 23 PE: 7 5/4/04 15:40 OIN IS-glenn PT: @sunultra1/raid/s_tpc/rp_va_sprg04/o_04-ribsg11/iv_g11geom-1 15 iven: and E 16 iven: R U. Y05405 T S Y05519 rtodes Y05405.R1 E X rtodes Y05519.R1 R U Which could be used to prove E? (SSS) If 3 sides of one triangle are congruent to 3 sides of another triangle, then the triangles are congruent. (SS) If 2 sides and the angle between them in one triangle are congruent to 2 sides and the angle between them of another triangle, then the triangles are congruent. Which proportion is true? RT US TX SX RX UX RT XS RT US SX TX XT RX RT UX (S) If 2 angles and the sides between them are congruent to 2 angles and the side between them of another triangle, then the triangles are congruent. (S) If 2 angles and a side not between them are congruent to 2 angles and the side not between them of another triangle, then the triangles are congruent. 17 M N Q P Y05407 rtodes Y05407.R1 iven: MQ NP. Therefore M MN PQ Q N M NP MQ M P MN QP N P Q M 2004 ommonwealth of Virginia epartment of Education 7
SESSION: 23 PE: 8 5/4/04 15:40 OIN IS-glenn PT: @sunultra1/raid/s_tpc/rp_va_sprg04/o_04-ribsg11/iv_g11geom-1 18 P 20 Y060577 56 mm 64 mm 650 m Y060202 558 m rtodes Y060577.R1 Q 70 mm R rtodes Y060202.R1 rom smallest to largest, the angles of PQR are R, Q, P R, P, Q Q, R, P P, R, Q 19 Which set of lengths could not be the lengths of the sides of a triangle? Y060576 7 in., 24 in., 30 in. 8 ft, 10 ft, 12 ft 4cm,5cm,9cm 2m,3m,4m The locations of three water pumping stations form a triangle on a map of the area. The distance from station to station is 650 meters. The distance from station to station is 558 meters. The distance from station to station is less than 92 m exactly 92 m between 92 m and 1,208 m greater than 1,208 m 21 The top of a ladder is leaning on a building at a point 12 feet above the ground; the bottom of the ladder is 5 feet from the base of the building. What is the length of the ladder? 19 ft 17 ft 13 ft 7ft Y070621 2004 ommonwealth of Virginia epartment of Education 8
SESSION: 23 PE: 9 5/4/04 15:40 OIN IS-glenn PT: @sunultra1/raid/s_tpc/rp_va_sprg04/o_04-ribsg11/iv_g11geom-1 22 Y070310 rtodes 45 60? 23 6 in. 6 in. Y070580 rtodes Y070310.R1 Y070580.R1 12 cm design is formed by joining isosceles right triangles and 60-30 right triangles as shown in the diagram. If the hypotenuse of the 60-30 triangle is 12 centimeters, which is closest to the length of one leg of the isosceles right triangle? 6cm 7.2 cm 8.5 cm 10.4 cm What is the diameter of the circle shown? 32 in. 33 in. 62 in. 63 in. 24 22 Y08506 Quadrilateral is a parallelogram. The measure of is 22 68 112 158 rtodes Y08506.R1 2004 ommonwealth of Virginia epartment of Education 9
SESSION: 23 PE: 10 5/4/04 15:40 OIN IS-glenn PT: @sunultra1/raid/s_tpc/rp_va_sprg04/o_04-ribsg11/iv_g11geom-1 25 The vertices of parallelogram have coordinates (1, 8), (4, 2), and (2, 7). Y08403 rtodes Y08403.R1 9 8 7 6 5 4 3 2 1 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 26 desktop was made from the scrap of plywood shown by cutting (in a straight line) from to E. Which measurement would ensure that the desktop is rectangular? E E E E E Y08615 rtodes Y08615.R1 What are the coordinates of? (5, 3) (3, 5) (2, 3) (5, 3) 27 Which of the following is not true about a parallelogram? ny two opposite sides are congruent. ny two opposite angles are congruent. The diagonals bisect each other. ny two consecutive angles are complementary. Y08602 2004 ommonwealth of Virginia epartment of Education 10
SESSION: 23 PE: 11 5/4/04 15:40 OIN IS-glenn PT: @sunultra1/raid/s_tpc/rp_va_sprg04/o_04-ribsg11/iv_g11geom-1 28 O O 90 90 30 Y090721 O 100 105 O Y090416 rtodes rtodes Y090721.R1 What is the value of x in the pentagon above? 90 155 245 335 What is the measure of interior angle of the regular polygon shown? Y090416.R1 29 225 180 160 144 Y090308 rtodes x 31 Y090308.R1 P M Y100609 Which is the closest to the measure of a central angle x in this regular polygon? 40 45 50 60 If O is a diameter of circle P, what is m MO? 30 45 80 90 O N rtodes Y100609.R1 2004 ommonwealth of Virginia epartment of Education 11
SESSION: 23 PE: 12 5/4/04 15:40 OIN IS-glenn PT: @sunultra1/raid/s_tpc/rp_va_sprg04/o_04-ribsg11/iv_g11geom-1 32 Secants P and P intersect the circle at and, respectively. 34 Y100414 Y120403 rtodes Y100414.R1 5 4 Which could be the view of this stack of cubes from directly above? rtodes Y120403.R1 P 12 What is the length of P? 3 4 5 6 rtodes Y120403.R2 Y120403.R3 Y120403.R4 Y120403.R5 33 The figure shows a circle. m RPQ 50 and m PRQ 60. Y100419 R 60 rtodes Y100419.R1 P 50 Q What is the measure of PR? 70 100 120 140 2004 ommonwealth of Virginia epartment of Education 12
SESSION: 23 PE: 13 5/4/04 15:40 OIN IS-glenn PT: @sunultra1/raid/s_tpc/rp_va_sprg04/o_04-ribsg11/iv_g11geom-1 35 Y120213 rtodes Y120213.R1 36 tepee in the shape of a right cone has a slant height of 18.5 feet and a diameter of 20 feet. pproximately how much canvas would be needed to cover the tepee? 581 sq ft 116 sq ft 89 sq ft 58 sq ft Y130510 rtodes Y120213.R2 Y120213.R3 Y120213.R4 Y120213.R5 Which piece completes this cube? 37 The reat Pyramid at iza has a square base with sides of length 230 meters and a height of 146.7 meters. pproximately what is the volume of the reat Pyramid? 1,650,000 m 3 2,590,000 m 3 4,950,000 m 3 7,760,000 m 3 Y130526 38 The ratio of the circumference of two circles is 3. The radius of the smaller 2 circle is 8 inches. What is the radius of the larger circle? 5 1 3 inches 6 inches Y14R13 9 inches 12 inches 2004 ommonwealth of Virginia epartment of Education 13
SESSION: 23 PE: 14 5/4/04 15:40 OIN IS-glenn PT: @sunultra1/raid/s_tpc/rp_va_sprg04/o_04-ribsg11/iv_g11geom-1 39 Two ships leaving the same marina at the same time are 3.2 miles apart after Y14R54 sailing 2.5 hours. If they continue at the same rate and direction, how far apart will they be 2 hours later? 2.56 mi 3.52 mi 5.76 mi 6.08 mi 41 y ' ' ' x Y02407 rtodes Y02407.R1 40 XYZ was obtained from by a rotation about the point P. Y02513 rtodes Y02513.R1 P Z X Which of the following indicates the correspondence of the vertices? Y Triangle is apparently a translation of triangle across the x-axis a90 clockwise rotation of triangle about the origin a reflection of triangle across the y-axis a reflection of triangle across the x-axis X, Y, Z Y, Z, X X, Z, Y Z, X, Y 2004 ommonwealth of Virginia epartment of Education 14
SESSION: 23 PE: 15 5/4/04 15:40 OIN IS-glenn PT: @sunultra1/raid/s_tpc/rp_va_sprg04/o_04-ribsg11/iv_g11geom-1 42 y 43 y 5 Y02730 4 3 Y02103 rtodes Y02730.R1 2 1-5 -4-3 -2-1 0-1 1 2 3 4 5 x x rtodes Y02103.R1-2 -3-4 What is most likely the slope of the line graphed above? 1 3-5 This figure is apparently symmetric with respect to the x-axis only the y-axis only both the x-axis and the y-axis neither the x-axis nor the y-axis 2 3 2 3 2004 ommonwealth of Virginia epartment of Education 15
SESSION: 23 PE: 16 5/4/04 15:40 OIN IS-glenn PT: @sunultra1/raid/s_tpc/rp_va_sprg04/o_04-ribsg11/iv_g11geom-1 44 y 45 The distance between the points Y02502 rtodes Y02502.R1 5 4 3 2 1-5 - 4-3 - 2-1 O x 1 2 3 4 5-1 (2, 4) and (3, 8) is 17 13 17 169 Y02575-2 - 3-4 - 5 What are the apparent coordinates of the midpoint of diagonal? 1 2 1, 1 2,1 1, 1 2 (1, 1) 2004 ommonwealth of Virginia epartment of Education 16
SESSION: 26 PE: 17 5/24/04 13:0 OIN IS-glenn PT: @sunultra1/raid/s_tpc/rp_va_sprg04/o_04-ribsg11/iv_g11geom-1 Test Sequence Number orrect nswer Reporting ategory nswer Key Reporting ategory escription 1 001 ines and ngles 2 001 ines and ngles 3 001 ines and ngles 4 001 ines and ngles 5 001 ines and ngles 6 001 ines and ngles 7 001 ines and ngles 8 001 ines and ngles 9 001 ines and ngles 10 001 ines and ngles 11 001 ines and ngles 12 002 Triangles and ogic 13 002 Triangles and ogic 14 002 Triangles and ogic 15 002 Triangles and ogic 16 002 Triangles and ogic 17 002 Triangles and ogic 18 002 Triangles and ogic 19 002 Triangles and ogic 20 002 Triangles and ogic 21 002 Triangles and ogic 22 002 Triangles and ogic 23 002 Triangles and ogic 24 003 Polygons and ircles 25 003 Polygons and ircles 26 003 Polygons and ircles 27 003 Polygons and ircles 28 003 Polygons and ircles 29 003 Polygons and ircles 30 003 Polygons and ircles 31 003 Polygons and ircles 32 003 Polygons and ircles 33 003 Polygons and ircles 34 004 Three-imensional igures 35 004 Three-imensional igures 36 004 Three-imensional igures 37 004 Three-imensional igures 38 004 Three-imensional igures 39 004 Three-imensional igures 40 005 oordinate Relations and Transformations 41 005 oordinate Relations and Transformations 42 005 oordinate Relations and Transformations 43 005 oordinate Relations and Transformations 44 005 oordinate Relations and Transformations 45 005 oordinate Relations and Transformations