SSSION: 27 P: 1 1/26/04 9:8 OIN IS-joer PT: @sunultra1/raid/s_tpc/rp_va_sprg03/o_03-olptg11/iv_g11geom-1 VIRINI STNRS O RNIN SSSSMNTS Spring 2003 Released Test N O OURS OMTRY Property of the Virginia epartment of ducation 2003 by the ommonwealth of Virginia epartment of ducation, ames Monroe uilding, 101 N. 14th Street, Richmond, Virginia, 23219. ll rights reserved. xcept 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 ducation at (804) 225-2102, ivision of ssessment and Reporting.
SSSION: 25 P: 2 5/8/103 16:34 OIN IS-debbie PT: @sunultra1/raid/s_tpc/rp_virginia/o_03-olptg11/iv_g11geom-1 eometry IRTIONS Read and solve each question. 2 iven:,, and are collinear; m 85 SMP 85 x Y030527 rtodes Y030527.R1 If is similar to, then :?:. Which replaces the? to make the statement true? What value of x will ensure that,, and are also collinear? 75 95 85 105 3 guy wire for a pole for a tennis net makes an angle of 62 with the ground. 1 82 y 65 Y030414 Y030513 62 rtodes Y030414.R1 rtodes Y030513.R1 50 89 x What is the measure of the angle between the wire and the pole? What are the values of x, and y? x 91, y 98 x 91, y 108 x 101, y 98 x 101, y 108 28 62 90 180 2003 ommonwealth of Virginia epartment of ducation 2
SSSION: 25 P: 3 5/8/103 16:34 OIN IS-debbie PT: @sunultra1/raid/s_tpc/rp_virginia/o_03-olptg11/iv_g11geom-1 4 Y030310 S T 6 ine m contains points (1, 3) and (2, 2). Which of the following pairs of points define a line parallel to line m? (0, 0) and (1, 1) (0, 0) and (1, 5) Y040410 rtodes Y030310.R1 x (1, 1) and (6, 2) (4, 0) and (5, 5) R In the diagram, and RST are congruent equilateral triangles with corresponding sides parallel. What is the value of x? 7 (2x + 30) (4x 90) l m Y040519 rtodes Y040519.R1 90 120 135 144 What value for x will show that lines l and m are parallel? 25 30 40 60 5 The measures of some angles are given in this figure. Y030503 N rtodes Y030503.R1 58 M O 140 What is the measure of N? 40 58 82 122 2003 ommonwealth of Virginia epartment of ducation 3
SSSION: 25 P: 4 5/8/103 16:34 OIN IS-debbie PT: @sunultra1/raid/s_tpc/rp_virginia/o_03-olptg11/iv_g11geom-1 8 x z eiling eam 9 Use your compass and straightedge to construct a line that is perpendicular Y040201 rtodes Y040201.R1 y w loor eam to ST and passes through point O. W X Z T Y110219 construction engineer needs to make sure a ceiling beam is parallel to its corresponding floor beam. Using the drawing as a guide, which pair of measurements is sufficient to show the beams are parallel? Y O rtodes Y110219.R1 x z y w x y y z S Which other point lies on this perpendicular? W X Y Z 2003 ommonwealth of Virginia epartment of ducation 4
SSSION: 25 P: 5 5/8/103 16:34 OIN IS-debbie PT: @sunultra1/raid/s_tpc/rp_virginia/o_03-olptg11/iv_g11geom-1 10 Use a compass, straightedge, and the drawing below to answer the question. Y110409 rtodes Y110409.R1 Which point lies on the line that bisects? Q R S T Q R S T 12 13 ccording to the Venn diagram, which is true? Offense ootball Players ll football players play offense or defense. No football players play offense and defense. ll football players play defense. Some football players play offense and defense. Q efense Y01609 rtodes Y01609.R1 11 Use your compass to answer the following question. Y110575 R K and RS are parallel. Which of the following statements is true? K S Y05302 rtodes Y05302.R1 rtodes Y110575.R1 R Q KS RS K RS QK SK Which line segment is congruent to? QR KS QR Q QS R QS QK 2003 ommonwealth of Virginia epartment of ducation 5
SSSION: 25 P: 6 5/8/103 16:34 OIN IS-debbie PT: @sunultra1/raid/s_tpc/rp_virginia/o_03-olptg11/iv_g11geom-1 14 Triangles and are similar and have measurements as shown. Y05403 rtodes Y05403.R1 What is the measure of? 21 2 15 2 6 7 3 9? 16 ssuming these statements are true, Some musicians are happy people. ll happy people like music. which of the following is a valid conclusion? ll happy people are musicians. ll musicians like music. Some happy people do not like music. Some musicians like music. Y01511 9 2 17 Triangle is a right triangle with the measures shown. 3 2 7 in. 25 in. Y070575 rtodes Y070575.R1 15 ltitude is drawn from right angle of triangle forming right triangles and. Y05307 The length of is 18 in. 24 in. 32 in. 576 in. rtodes Y05307.R1 Which statement concerning the 3 triangles is true? None of the triangles are similar. Only triangles and are similar. Triangle is similar to only triangle. Triangle is similar to both triangle and triangle. 2003 ommonwealth of Virginia epartment of ducation 6
SSSION: 25 P: 7 5/8/103 16:34 OIN IS-debbie PT: @sunultra1/raid/s_tpc/rp_virginia/o_03-olptg11/iv_g11geom-1 18 customer provided this diagram of a patio to a fencing company. 20 In any, which statement is always true? Y070114 14 ft m m 90 m m 90 Y060101 rtodes Y070114.R1 16 ft 24 ft 21 70 Y060513 20 ft 60 rtodes Y060513.R1 What is the length of the unlabeled side? 10 ft 11 ft 12 ft 13 ft Which of the following lists the sides of from least to greatest length?,,,,,,,, 19 In triangle, 6, 7, and 5. Which is true? Y060103 The measure of is the least of the three angles. The measure of is the greatest of the three angles. The measure of is the greatest of the three angles. The measure of is the least of the three angles. 22 To determine the distance across a pond, arry made the measurements shown in the diagram. R T 80 20 m S sin 80 0.985 cos 80 0.174 tan 80 5.67 Y070304 rtodes Y070304.R1 Which is closest to the distance from R to S? 3.48 m 19.7 m 20.3 m 113.4 m 2003 ommonwealth of Virginia epartment of ducation 7
SSSION: 25 P: 8 5/8/103 16:34 OIN IS-debbie PT: @sunultra1/raid/s_tpc/rp_virginia/o_03-olptg11/iv_g11geom-1 23 Y05575 rtodes Y05575.R1 X 12 6 Z Y 15 Which triangle is similar to XYZ? 24 In rhombus, 30 inches and 40 inches. Y08401 rtodes Y08401.R1 rtodes Y05575.R2 Y05575.R3 Y05575.R4 Y05575.R5 10 20 25 What is the perimeter of the rhombus? 25 in. 50 in. 100 in. 200 in. 18 30 25 is a rhombus. K 36 y Y08203 12 24 (3, 4) (?,?) rtodes Y08203.R1 (0, 0) (5, 0) x 12 I What are the coordinates of vertex? 12 15 (5, 4) (6, 4) (8, 4) (4, 3) 2003 ommonwealth of Virginia epartment of ducation 8
SSSION: 25 P: 9 5/8/103 16:34 OIN IS-debbie PT: @sunultra1/raid/s_tpc/rp_virginia/o_03-olptg11/iv_g11geom-1 26 The quadrilateral is a parallelogram. 28 In the figure, the measure of is twice the measure of. Y08511 Y090406 rtodes Y08511.R1 rtodes Y090406.R1 Which of the following pieces of information would suffice to prove that is a rectangle? m m and are supplementary What is the measure of? 120 60 45 30 29 27 Three vertices of parallelogram have coordinates (1, 4), (3, 8), and (5, 0). Y08405 rtodes Y08405.R1 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 9 8 7 6 5 4 3 2 1 y 1 2 3 4 5 6 7 8 9 x igure is a regular octagon. What is the measure of Q? 135 60 45 30 Q Y090108 rtodes Y090108.R1 What are the coordinates of the other first-quadrant vertex? (3, 12) (1, 4) (1, 4) (9, 4) 2003 ommonwealth of Virginia epartment of ducation 9
SSSION: 25 P: 10 5/8/103 16:34 OIN IS-debbie PT: @sunultra1/raid/s_tpc/rp_virginia/o_03-olptg11/iv_g11geom-1 30 32 The measure of arc is 28. Y090111 rtodes Y090111.R1 Q P 28 Y100575 rtodes Y100575.R1 R The two adjacent figures are a regular hexagon and a regular octagon. What is the measure of PQR? 87.5 90 105 120 What is the measure of? 7 14 28 56 33 is tangent to the circle at and the measure of is 108. 31 Y100304 rtodes Y100304.R1 P 4 R 8 Q Y100415 rtodes Y100415.R1,, and are points of tangency. P 4 and Q 8. What is the measure of PQ? 4 8 12 32 What is the measure of? 118 72 36 18 2003 ommonwealth of Virginia epartment of ducation 10
SSSION: 25 P: 11 5/8/103 16:34 OIN IS-debbie PT: @sunultra1/raid/s_tpc/rp_virginia/o_03-olptg11/iv_g11geom-1 34 Y120201 rtodes Y120201.R1 Which is a two-dimensional representation of the view from directly above the figure? 35 The figure shows a right circular cone on top of a hemisphere with the same radius. 4 cm 4 cm Y130421 rtodes Y130421.R1 To the nearest whole number, what is the volume of this solid? rtodes Y120201.R2 Y120201.R3 Y120201.R4 Y120201.R5 201 cm 3 256 cm 3 278 cm 3 309 cm 3 2003 ommonwealth of Virginia epartment of ducation 11
SSSION: 25 P: 12 5/8/103 16:34 OIN IS-debbie PT: @sunultra1/raid/s_tpc/rp_virginia/o_03-olptg11/iv_g11geom-1 36 Which of the following patterns could not be folded into a cube? Y120102 rtodes Y120102.R1 Y120102.R2 Y120102.R3 Y120102.R4 38 What is the volume of a right square pyramid with a height of 3 centimeters and a base that measures 8 centimeters by 8 centimeters? 64 cm 3 72 cm 3 144 cm 3 225 cm 3 Y130412 39 ine segments and intersect at, asshown in the figure., 10, 15, and 20. Y140403 rtodes Y140403.R1 What is the measure of? 37 cylindrical water container is 1.2 meters high and has a diameter of Y130511 4.6 meters. pproximately how many cubic meters of water will the container hold when it is half full? 4.33 9.97 29.93 39.87 13 17 25 30 2003 ommonwealth of Virginia epartment of ducation 12
SSSION: 25 P: 13 5/8/103 16:34 OIN IS-debbie PT: @sunultra1/raid/s_tpc/rp_virginia/o_03-olptg11/iv_g11geom-1 40 Q 41 onsider this figure. Y02502 O P Y02576 rtodes rtodes Y02502.R1 N Y02576.R1 K M Which of the following is a rotation in the plane of the given figure? I Which polygon shown above has only one line of symmetry? Rectangle exagon I Square KMN rtodes Y02576.R2 Y02576.R3 Y02576.R4 Y02576.R5 Triangle OPQ 2003 ommonwealth of Virginia epartment of ducation 13
SSSION: 25 P: 14 5/8/103 16:36 OIN IS-debbie PT: @sunultra1/raid/s_tpc/rp_virginia/o_03-olptg11/iv_g11geom-1 42 y 44 y Y02506 rtodes Y02506.R1 X - 9-8 - 7-6 - 5-4 - 3-2 - 1 O -1 Z 9 8 7 6 5 4 3 2 1-2 - 3-4 - 5-6 - 7-8 - 9 If triangle XYZ is reflected across the y-axis to form triangle XYZ, what is the coordinate of Y? 1 Y 2 3 4 5 6 7 8 9 x Parallelogram is positioned on a coordinate plane with the coordinates as shown. N is the midpoint of. What are the coordinates of N? (2, 3) (3.5, 2) (2.5, 6) M (6, 2.5) (2, 3) (0, 0) N (5, 1) (7, 4) x Y02306 rtodes Y02306.R1 (3, 2) (4, 6) (2, 3) (3, 2) 45 The slope of the line joining the coordinate points (3, 1) and (4, 7) is 8 7 Y02516 43 Which point is the greatest distance from the origin? Y02509 (8, 5) (9, 1) (3, 4) 7 8 6 7 1 8 (9, 2) 2003 ommonwealth of Virginia epartment of ducation 14
SSSION: 25 P: 15 5/8/103 16:34 OIN IS-debbie PT: @sunultra1/raid/s_tpc/rp_virginia/o_03-olptg11/iv_g11geom-1 Test Sequence 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, Transformations, and Vectors 41 005 oordinate Relations, Transformations, and Vectors 42 005 oordinate Relations, Transformations, and Vectors 43 005 oordinate Relations, Transformations, and Vectors 44 005 oordinate Relations, Transformations, and Vectors 45 005 oordinate Relations, Transformations, and Vectors