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Tennessee ComprehensiveAssessment ProgramTCAPGeometryPractice TestSubpart 1, Subpart 2, & Subpart 3Student NameTeacher Name

Published under contract with the Tennessee Department of Education by Questar Assessment Inc., 5550 Upper 147th Street West, Minneapolis, MN 55124.Copyright 2016 by Tennessee Department of Education. All rights reserved. No part of this publication may be copied, reproduced, or distributed in any formor by any means, or stored in a database or retrieval system, without the prior express written consent of the Tennessee Department of Education and QuestarAssessment Inc.

DirectionsTest Administrator Instructions:This practice test has Subpart 1, Subpart 2, and Subpart 3. There is also an answerdocument and an answer key at the end of this document. It is recommended thatyou print one copy of this practice test and pull the answer key before copying anddistributing the practice test and answer document to your students.This practice test is representative of the operational test but is shorter than the actualoperational test. To see the details about the operational test, please see the blueprintslocated on the Tennessee Department of Education website.3Go on

Sample QuestionsSubpart 1 of this Practice Test booklet contains constructed-response items andselected-response items in Geometry. Write all answers on your answer document.You MAY NOT use a calculator in Subpart 1 of this test booklet.Sample 1: Constructed-Response1.In triangle RST, m R 15 and m S 50 . What is the measure, in degrees,of T ?Write your answer in the space provided on your answer document.Sample 2: Selected-Response2.Given: RST JKL, RS 8 centimeters, JK 16 centimeters, andKL 14 centimeters.What is the length, in centimeters, of ST ?A. 6B. 7C. 22D. 244Go on

Geometry, Subpart 1 Practice Test1.Triangle RST and triangle R'S'T' are shown.For which transformation would triangle RST have image R'S'T'?A. a 180 rotationB. a translation left 8 unitsC. a reflection over the y-axisD. a reflection over the x-axis5Go on

Geometry, Subpart 1 Practice Test2.Isosceles trapezoid RSTU, with K as midpoint of RS , L as midpoint of ST , M asmidpoint of TU , and N as midpoint of RU , is shown. Point P is the intersection ofKM and NL .Which transformation carries the trapezoid onto itself?A. a 90 rotation clockwise about PB. a 180 rotation clockwise about PsuuurC. a reflection over KMsuurD. a reflection over NL6Go on

Geometry, Subpart 1 Practice Test3.The rectangular prism below is cut in half by the dotted line shown, after which thetwo halves are separated.12 in24 in8 inWhich of these rectangles represents the cross-sectional cut of each half of theprism?A.B.C.D.7Go on

Geometry, Subpart 1 Practice Test4.In the diagram shown, line l is parallel to line m, and lines n and p intersect at apoint on line m.Mark the phrase or value that best completes each statement shown on youranswer document.vertical anglesAngle 6 is congruent to angle 11 because they arealternate interior angles .corresponding angles2The sum of the measures of angles 4, 7, and5is equal to 180 .108Go on

Geometry, Subpart 1 Practice Test5.Shanika is making a decorative tablecloth for her small circular table. The tablehas a radius of 40 centimeters and height of 60 centimeters. She wants thetablecloth to hang an even 10 centimeters above the ground.Which design would give Shanika what she wants?A. a circular piece of cloth with a radius of 90 cmB. a circular piece of cloth with a radius of 110 cmC. a rectangular piece of cloth with a length of 50 cm and a width of 40 cmD. a rectangular piece of cloth with a length of 60 cm and a width of 50 cm6.The three line segments dividing the two sides of the triangle shown are parallel tothe base of the triangle.Which proportion can be used to find the value of x?A.1 x 4 8B.1 8 4 xC.24 x 40 8D.24 8 40 x9Go on

Geometry, Subpart 1 Practice Test7.Determine which statement is true in regard to ABC and LMN.A. ABC LMN by AA criterion.B. ABC LMN by SAS criterion.C. ABC LMN by SSS criterion.D. ABC and LMN are not similar.8.The triangles QTP and SPT are shown. Line RM is the perpendicular bisector of linesegment PT and intersects line segment PT at point M.Which transformation would imply that QTP SPT ?A. horizontal translation the length of PRB. horizontal translation the length of PTC. reflection over RMD. reflection over SP10Go on

Geometry, Subpart 1 Practice Test9.For RST and UVW, sides RS , RT , and ST are congruent to sides VW , VU ,and WU , respectively.Which word, phrase, or label best completes each statement?1.This proves that there be a set of rigid motions that haspre-image RST and image UVW.A. could or could notB. mustC. cannot2.This also proves that angle RST is congruent to angle .A. UVWB. VWUC. WUVThis is the end of Subpart 1 of the Geometry Practice Test.Proceed to Subpart 2.11STOP

Geometry, Subpart 2 Practice TestDirectionsSubpart 2 of this Practice Test booklet contains constructed-response items andselected-response items in Geometry. Write all answers on your answer document.You MAY use a calculator in Subpart 2 of this test booklet.10.For the triangle shown, what is the measure of angle 1?A. 24 B. 78 C. 132 D. 156 12Go on

Geometry, Subpart 2 Practice Test11.Create the circumscribed circle for triangle RST with vertices at R(–3, 6), S(3, 6),and T(3, –2) on the grid provided on your answer document.13Go on

Geometry, Subpart 2 Practice Test12.In the figure shown, cos(w ) 0.60.What is sin(x )?A. 0.36B. 0.40C. 0.60D. 0.8013. RSV USTSelect all statements that are true.A. STU is a right triangle.B. RS is4x cm in length.3C. VRS STUD. The area of RSV is9x cm2.8E. m RSV m UST 90 14Go on

Geometry, Subpart 2 Practice Test14.suurIn the figure, PS is tangent to circle O at point S.What is the measure, in degrees, of QPS ?Write your answer in the space provided on your answer document.15Go on

Geometry, Subpart 2 Practice Test15.5πThe windshield wiper of a car rotates through an angle of measureradians,6as shown.The shaded section of the diagram represents the area cleared by the10-inch blade of the windshield wiper as it moves from one side to the other.Approximately what is the area cleared by the blade of the windshield wiper?2A. 125 in2B. 183 in2C. 367 inD. 790 in216Go on

Geometry, Subpart 2 Practice Test16.In the figure shown, RST UVW.Write an expression that represents tan(R).Write your answer in the space provided on your answer document.17.The Fun Run organizers want to provide cylindrical cups of water to all runnersafter the race. The cups have a base diameter of 2.5 inches and a height of5 inches. How much water should the organizers estimate to serve each runner?(Assume each runner will only drink one cup of water.)3A. 24.5 inB. 31.25 in3C. 39.3 in3D. 49.11 in317Go on

Geometry, Subpart 2 Practice Test18.The two chords shown in the circle intercept the given arcs.What is the measure of MPN ?A. 70 B. 75 C. 115 D. 150 19.Parallelogram RSTU is shown. The perimeter of parallelogram RSTU is50 centimeters.What is the value of x?A. –5B. –2C.3D. 1218Go on

Geometry, Subpart 2 Practice Test20.Chris is looking up at the top of a tree. He is standing 20 feet from the tree, andhis line of sight is 35 from horizontal. His eyes are 5 feet above the ground.To the nearest foot, how tall is the tree?Write your answer in the space provided on your answer document.19Go on

Geometry, Subpart 2 Practice Test21.Rectangle ABCD is shown.Which value best completes each statement?1.The measure of side CD is cm.A. 15B. 18C. 24D. 302.The measure of diagonal BD is cm.A. 15B. 18C. 24D. 303.The perimeter of triangle CDE is cm.A. 33B. 48C. 54D. 5720Go on

Geometry, Subpart 2 Practice Test22.A right triangle has leg lengths 0.3 centimeters and 0.4 centimeters. What is cosθwhere θ is the smallest angle of the triangle?Write your answer in the space provided on your answer document.This is the end of Subpart 2 of the Geometry Practice Test.Proceed to Subpart 3.21STOP

Geometry, Subpart 3 Practice TestDirectionsSubpart 3 contains constructed-response items and selected-response items inGeometry. For constructed-response items, write your answer in the space provided.Write all answers on your answer document.You MAY use a calculator in Subpart 3 of this test booklet.22Go on

Geometry, Subpart 3 Practice Test23.A proof is shown.Given: RST PTS, SP RT , and SR PTProve: The sum of the measures of the interior angles of RST is 180 .Using the list of reasons provided, mark the correct reason for each statement onyour answer document.Reasons:A. SubstitutionB. Alternate interior angles are congruent.C. Corresponding angles are congruent.D. Angles 3, 4, and 7 form a line.E. Given23Go on

Geometry, Subpart 3 Practice Test24.Using the coordinate graph on your answer document, graph the line that isparallel to the line with equation –2x y 1 and that passes through the point(1, –1).24Go on

Geometry, Subpart 3 Practice Test25.A support wire is attached to the top of an antenna. The support wire connectsto the ground 15 feet from the bottom of the antenna. The support wire and theground meet at an angle with measure 70 , as shown.To the nearest foot, what is the height of the antenna?Write your answer in the space provided on your answer document.25Go on

Geometry, Subpart 3 Practice Test26.Using the coordinate graph on your answer document, create the final image of RST after reflecting first over the x-axis and then over the y-axis on the gridprovided on your answer document.26Go on

Geometry, Subpart 3 Practice Test27.Mr. Miller is trying to determine the width of his pond. He makes themeasurements shown.To the nearest foot, what is the width of the pond?Write your answer in the space provided on your answer document.28.Quadrilateral LMNO has coordinates L(5, 6), M(9, 8), N(11, 12), and O(7, 10).How can quadrilateral LMNO be classified?A. squareB. rhombus but not a squareC. rectangle but not a squareD. parallelogram but neither a rhombus nor a rectangle27Go on

Geometry, Subpart 3 Practice Test29.Using the coordinate graph on your answer document, place the point that is2of3the way from R to S on the line segment with endpoints R(–2, –2) and S(4, 1).28Go on

Geometry, Subpart 3 Practice Test30. RST UVW. The dilation that maps RST to UVW has a dilation factor of2.3The measure of angle R is 20 , and the measure of angle S is 100 .What is the measure, in degrees, of angle W ?Write your answer in the space provided on your answer document.This is the end of the test.29STOP

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TNReady Math Reference Sheet—High School1 inch 2.54 centimeters1 meter 39.37 inches1 mile 5,280 feet1 mile 1,760 yards1 mile 1.609 kilometers1 kilometer 0.62 mile1 pound 16 ounces1 pound 0.454 kilogramsPythagorean Theorem: a2 b2 c 2 b b2 4acQuadratic Formula: x 2aArithmetic Sequence: an a1 ( n 1) dGeometric Sequence: an a1r n 11 kilogram 2.2 pounds1 ton 2000 poundsFinite Geometric Series: Sn 1 cup 8 fluid ounces1 pint 2 cups1 gallon 3.785 liters1 liter 0.264 gallons1 liter 1000 cubic centimeters1 rDegrees: 1 degree πradians180Radians: 1 radian 180degreesπ1 quart 2 pints1 gallon 4 quarts(a1 1 r n)

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Answer DocumentName:Subpart 1 Sample Questions1.2.ABCDSubpart 1 Practice Test Questions1.ABCD2.ABCD3.ABCD4.vertical anglesalternate interior anglescorresponding angles25105.ABCD6.ABCD7.ABCD8.ABCD9.1.ABC2.ABC33

Answer DocumentSubpart 2 Practice Test Questions10.ABCD12.ABCD13.ABCDABCD11.E14.15.16.34

Answer 21.22.Subpart 3 Practice Test Questions23.1.ABCDE2.ABCDE3.ABCDE4.ABCDE5.ABCDE35

Answer Document24.25.36

Answer Document26.27.28.ABCD37

Answer Document29.30.38

Answer KeySubpart 1 Sample Questions1.115 2.ABCDSubpart 1 Practice Test Questions1.ABCD2.ABCD3.ABCD4.vertical anglesalternate interior anglescorresponding angles25105.ABCD6.ABCD7.ABCD8.ABCD9.1.ABC2.ABC39

Answer KeySubpart 2 Practice Test mp17.ABCD18.ABCD19.ABCD40