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New York Regents Geometry June 2011

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GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Thursday, June 23, 2011 9:15 a.m. to 12:15 p.m., only Student Name: ______________________________________________________________ School Name: _______________________________________________________________ Print your name and the name of your school on the lines above. Then turn to the last page of this booklet, which is the answer sheet for Part I. Fold the last page along the perforations and, slowly and carefully, tear off the answer sheet. Then fill in the heading of your answer sheet. This examination has four parts, with a total of 38 questions. You must answer all questions in this examination. Write your answers to the Part I multiple-choice questions on the separate answer sheet. Write your answers to the questions in Parts II, III, and IV directly in this booklet. All work should be written in pen, except graphs and drawings, which should be done in pencil. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. The formulas that you may need to answer some questions in this examination are found at the end of the examination. This sheet is perforated so you may remove it from this booklet. Scrap paper is not permitted for any part of this examination, but you may use the blank spaces in this booklet as scrap paper. A perforated sheet of scrap graph paper is provided at the end of this booklet for any question for which graphing may be helpful but is not required. You may remove this sheet from this booklet. Any work done on this sheet of scrap graph paper will not be scored. When you have completed the examination, you must sign the statement printed at the end of the answer sheet, indicating that you had no unlawful knowledge of the questions or answers prior to the examination and that you have neither given nor received assistance in answering any of the questions during the examination. Your answer sheet cannot be accepted if you fail to sign this declaration. Notice A graphing calculator, a straightedge (ruler), and a compass must be available for you to use while taking this examination. The use of any communications device is strictly prohibited when taking this examination. If you use any communications device, no matter how briefly, your examination will be invalidated and no score will be calculated for you. DO NOT OPEN THIS EXAMINATION BOOKLET UNTIL THE SIGNAL IS GIVEN. GEOMETRY Part I Answer all 28 questions in this part. Each correct answer will receive 2 credits. No partial credit will be allowed. For each question, write on the separate answer sheet the numeral preceding the word or expression that best completes the statement or answers the question. [56] Use this space for computations. 1 Line segment AB is shown in the diagram below. I IV II A B III Which two sets of construction marks, labeled I, II, III, and IV, are part of the construction of the perpendicular bisector of line segment AB? (1) I and II (3) II and III (2) I and III (4) II and IV 2 If JKL MNO, which statement is always true? _ _ _ _ (1) KLJ NMO (3) JL MO (2) KJL MON (4) JK ON Geometry June 11 [2] 3 In the diagram below, A B C is a transformation of ABC, and A B C is a transformation of A B C . Use this space for computations. y C B C B B A C A A x The composite transformation of ABC to A B C is an example of a (1) reflection followed by a rotation (2) reflection followed by a translation (3) translation followed by a rotation (4) translation followed by a reflection Geometry June 11 [3] [OVER] __ _ 4 In the diagram below of ACE, medians AD, EB, and CF intersect _ at G. The length of FG is 12 cm. A B F G E C D _ What is the length, in centimeters, of GC? (1) 24 (3) 6 (2) 12 (4) 4 _ _ 5 In the diagram below of circle O, chord AB is parallel to chord CD. B D O A C Which statement must be true? _ _ (1) AC BD (3) AB CD (2) AB CD (4) ABD CDB Geometry June 11 [4] Use this space for computations. Use this space for computations. 6 In the diagram below, line p intersects line m and line n. p n 2 1 m If m 1 = 7x and m 2 = 5x + 30, lines m and n are parallel when x equals (1) 12.5 (3) 87.5 (2) 15 (4) 105 _ 7 In the diagram of KLM below, m L = 70, m M = 50, and MK is extended through N. L 70 50 N K M What is the measure of LKN ? (1) 60 (3) 180 (2) 120 (4) 300 Geometry June 11 [5] [OVER] 8 If two distinct planes, A and B, are perpendicular to line c, then which statement is true? (1) Planes A and B are parallel to each other. (2) Planes A and B are perpendicular to each other. (3) The intersection of planes A and B is a line parallel to line c. (4) The intersection of planes A and B is a line perpendicular to line c. 9 What is the length of the line segment whose endpoints are A( 1,9) and B(7,4)? ____ ___ (1) 61 (3) 205 (2) 89 (4) 233 ___ ____ 10 What is an equation of circle O shown in the graph below? y ( 5,6) O ( 1,3) x (1) (x + 1)2 + (y 3)2 = 25 (2) (x 1)2 + (y + 3)2 = 25 (3) (x 5)2 + (y + 6)2 = 25 (4) (x + 5)2 + (y 6)2 = 25 Geometry June 11 [6] Use this space for computations. _ _ 11 In the diagram below, parallelogram ABCD has diagonals AC and BD that intersect at point E. D Use this space for computations. C E A B Which expression is not always true? _ _ _ _ (1) DAE BCE (3) AC DB (2) DEC BEA (4) DE EB 12 The volume, in cubic centimeters, of a sphere whose diameter is 6 centimeters is (1) 12 (3) 48 (2) 36 (4) 288 1 13 The equation of line k is y = __x 2. The equation of line m is 3 2x + 6y = 18. Lines k and m are (1) parallel (2) perpendicular (3) the same line (4) neither parallel nor perpendicular Geometry June 11 [7] [OVER] 14 What are the center and the radius of the circle whose equation is (x 5)2 + (y + 3)2 = 16? (1) ( 5,3) and 16 (3) ( 5,3) and 4 (2) (5, 3) and 16 (4) (5, 3) and 4 15 Triangle ABC has vertices A(0,0), B(3,2), and C(0,4). This triangle may be classified as (1) equilateral (3) right (2) isosceles (4) scalene _ _ 16 In rhombus ABCD, the diagonals AC and BD _ intersect at E. If AE = 5 and BE = 12, what is the length of AB? (1) 7 (3) 13 (2) 10 (4) 17 Geometry June 11 [8] Use this space for computations. _ 17 _ diagram below of circle O, PA is tangent to circle O at A, and In the PBC is a secant with points B and C on the circle. Use this space for computations. A 8 P 4 B O C _ If PA = 8 and PB = 4, what is the length of BC? (1) 20 (3) 15 (2) 16 (4) 12 18 Lines m and n intersect at point A. Line k is perpendicular to both lines m and n at point A. Which statement must be true? (1) Lines m, n, and k are in the same plane. (2) Lines m and n are in two different planes. (3) Lines m and n are perpendicular to each other. (4) Line k is perpendicular to the plane containing lines m and n. 19 In DEF, m D = 3x + 5, m E = 4x 15, and m F = 2x + 10. Which statement is true? (1) DF = FE (3) m E = m F (2) DE = FE (4) m D = m F Geometry June 11 [9] [OVER] 20 As shown in the diagram below, ABC DEF, AB = 7x, BC = 4, DE = 7, and EF = x. A D 7x 7 B 4 E C x F _ What is the length of AB? (1) 28 (3) 14 (2) 2 (4) 4 21 A man wants to place a new bird bath in his yard so that it is 30 feet from a fence, f, and also 10 feet from a light pole, P. As shown in the diagram below, the light pole is 35 feet away from the fence. f 35 ft P How many locations are possible for the bird bath? (1) 1 (3) 3 (2) 2 (4) 0 Geometry June 11 [10] Use this space for computations. 22 As shown on the graph below, R S T is the image of RST under a single transformation. Use this space for computations. y R T S x S T R Which transformation does this graph represent? (1) glide reflection (3) rotation (2) line reflection (4) translation 23 Which line is parallel to the line whose equation is 4x + 3y = 7 and also passes through the point ( 5,2)? (1) 4x + 3y = 26 (3) 3x + 4y = 7 (2) 4x + 3y = 14 (4) 3x + 4y = 14 Geometry June 11 [11] [OVER] 24 If the vertex angles of two isosceles triangles are congruent, then the triangles must be (1) acute (3) right (2) congruent (4) similar 25 Which quadrilateral has diagonals that always bisect its angles and also bisect each other? (1) rhombus (3) parallelogram (2) rectangle (4) isosceles trapezoid 26 When ABC is dilated by a scale factor of 2, its image is A B C . Which statement is true? _ _ (1) AC A C (2) A A (3) perimeter of ABC = perimeter of A B C (4) 2(area of ABC) = area of A B C Geometry June 11 [12] Use this space for computations. 27 What is the slope of a line that is perpendicular to the line whose equation is 3x + 5y = 4? 3 (1) __ 5 3 __ (2) Use this space for computations. 5 (3) __ 3 5 __ (4) 3 5 _ 28 In the diagram below of right triangle ABC, altitude BD is drawn to _ hypotenuse AC, AC = 16, and CD = 7. 16 C 7 D A B _ What is the length of BD? __ __ (1) 3 7 (3) 7 3 (2) 4 7 (4) 12 __ Geometry June 11 [13] [OVER] Part II Answer all 6 questions in this part. Each correct answer will receive 2 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. All answers should be written in pen, except for graphs and drawings, which should be done in pencil. [12] 29 Given the true statement, The medians of a triangle are concurrent, write the negation of the statement and give the truth value for the negation. Geometry June 11 [14] _ 30 Using_ compass and straightedge, on the diagram below of RS, construct an equilateral triangle a _ with RS as one side. [Leave all construction marks.] R S Geometry June 11 [15] [OVER] 31 The Parkside Packing Company needs a rectangular shipping box. The box must have a length of 11 inches and a width of 8 inches. Find, to the nearest tenth of an inch, the minimum height of the box such that the volume is at least 800 cubic inches. Geometry June 11 [16] 32 A pentagon is drawn on the set of axes below. If the pentagon is reflected over the y-axis, determine if this transformation is an isometry. Justify your answer. [The use of the set of axes below is optional.] y x Geometry June 11 [17] [OVER] _ __ _ 33 In the diagram below of ABC, D is a point on AB, E is a point on BC, AC DE, CE = 25_ inches, AD = 18 inches, and DB = 12 inches. Find, to the nearest tenth of an inch, the length of EB. C E A Geometry June 11 D [18] B _ 34 In circle O, diameter RS has endpoints R(3a,2b 1) and S(a 6,4b + 5). Find the coordinates of point O, in terms of a and b. Express your answer in simplest form. Geometry June 11 [19] [OVER] Part III Answer all 3 questions in this part. Each correct answer will receive 4 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. All answers should be written in pen, except for graphs and drawings, which should be done in pencil. [12] 35 On the set of coordinate axes below, graph the locus of points that are equidistant from the lines y = 6 and y = 2 and also graph the locus of points that are 3 units from the y-axis. State the coordinates of all points that satisfy both conditions. y x Geometry June 11 [20] _ _ 36 In the diagram below, tangent ML and secant MNK are drawn to circle O. The ratio m LN:mNK:mKL is 3:4:5. Find m LMK. L M O N K Geometry June 11 [21] [OVER] 37 Solve the following system of equations graphically. 2x2 4x = y + 1 x+y=1 y x Geometry June 11 [22] Part IV Answer the question in this part. A correct answer will receive 6 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. A correct numerical answer with no work shown will receive only 1 credit. The answer should be written in pen. [6] _ _ _ _ _ 38 In the diagram below, PA and PB are tangent to circle O, OA and OB are radii, and OP intersects the circle at C. Prove: AOP BOP A O C B Geometry June 11 [23] P Tear Here Reference Sheet V Cylinder Bh where B is the area of the base 1 Bh 3 where B is the area of the base V Pyramid Volume Right Circular Cone 1 Bh 3 where B is the area of the base V Sphere V 4 r3 3 Right Circular Cylinder L 2 rh L rl Lateral Area (L) Right Circular Cone Sphere SA Tear Here Surface Area Geometry June 11 where l is the slant height [27] 4 r2 Tear Here Tear Here Tear Here Tear Here Scrap Graph Paper This sheet will not be scored. Scrap Graph Paper This sheet will not be scored. Tear Here Tear Here The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION Tear Here GEOMETRY Thursday, June 23, 2011 9:15 a.m. to 12:15 p.m., only ANSWER SHEET Student . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Sex: Male Female Grade . . . . . . Teacher . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . School . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Your answers to Part I should be recorded on this answer sheet. Part I Answer all 28 questions in this part. 1 ................ 8 ................ 15 . . . . . . . . . . . . . . . . 22 . . . . . . . . . . . . . . . . 2 ................ 9 ................ 16 . . . . . . . . . . . . . . . . 23 . . . . . . . . . . . . . . . . 3 ................ 10 . . . . . . . . . . . . . . . . 17 . . . . . . . . . . . . . . . . 24 . . . . . . . . . . . . . . . . 4 ................ 11 . . . . . . . . . . . . . . . . 18 . . . . . . . . . . . . . . . . 25 . . . . . . . . . . . . . . . . 5 ................ 12 . . . . . . . . . . . . . . . . 19 . . . . . . . . . . . . . . . . 26 . . . . . . . . . . . . . . . . 6 ................ 13 . . . . . . . . . . . . . . . . 20 . . . . . . . . . . . . . . . . 27 . . . . . . . . . . . . . . . . 7 ................ 14 . . . . . . . . . . . . . . . . 21 . . . . . . . . . . . . . . . . 28 . . . . . . . . . . . . . . . . Your answers for Parts II, III, and IV should be written in the test booklet. Tear Here The declaration below must be signed when you have completed the examination. I do hereby affirm, at the close of this examination, that I had no unlawful knowledge of the questions or answers prior to the examination and that I have neither given nor received assistance in answering any of the questions during the examination. Signature Geometry June 11 [31] GEOMETRY Rater s/Scorer s Name (minimum of three) GEOMETRY Maximum Credit Part I 1 28 56 Part II 29 2 30 2 31 2 32 2 33 2 34 2 35 4 36 4 37 4 38 6 Maximum Total 86 Part IV Rater s/Scorer s Initials Total Raw Score Part III Credits Earned Checked by Tear Here Question Scale Score (from conversion chart) Tear Here Printed on Recycled Paper [32] GEOMETRY Geometry June 11 FOR TEACHERS ONLY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Thursday, June 23, 2011 9:15 a.m. to 12:15 p.m., only SCORING KEY AND RATING GUIDE Mechanics of Rating The following procedures are to be followed for scoring student answer papers for the Regents Examination in Geometry. More detailed information about scoring is provided in the publication Information Booklet for Scoring the Regents Examinations in Mathematics. Use only red ink or red pencil in rating Regents papers. Do not attempt to correct the student s work by making insertions or changes of any kind. Use check marks to indicate student errors. Unless otherwise specified, mathematically correct variations in the answers will be allowed. Units need not be given when the wording of the questions allows such omissions. Each student s answer paper is to be scored by a minimum of three mathematics teachers. No one teacher is to score more than approximately one-third of the open-ended questions on a student s paper. On the back of the student s detachable answer sheet, raters must enter their initials in the boxes next to the questions they have scored and also write their name in the box under the heading Rater s/Scorer s Name. Beginning in June 2011, schools are no longer permitted to rescore any of the open-ended questions on this exam after each question has been rated once, regardless of the final exam score. Schools are required to ensure that the raw scores have been added correctly and that the resulting scale score has been determined accurately. R aters should record the student s scores for all questions and the total raw score on the student s detachable answer sheet. Then the student s total raw score should be converted to a scale score by using the conversion chart that will be posted on the Department s web site at: http://www.p12.nysed.gov/apda/ o n Thursday, June 23, 2011. Because scale scores corresponding to raw scores in the conversion chart may change from one examination to another, it is crucial that for each administration, the conversion chart provided for that administration be used to determine the student s final score. The student s scale score should be entered in the box provided on the student s detachable answer sheet. The scale score is the student s final examination score. Part I Allow a total of 56 credits, 2 credits for each of the following. Allow credit if the student has written the correct answer instead of the numeral 1, 2, 3, or 4. (1) 2 (8) 1 (15) 2 (22) 3 (2) 3 (9) 2 (16) 3 (23) 2 (3) 4 (10) 1 (17) 4 (24) 4 (4) 1 (11) 3 (18) 4 (25) 1 (5) 1 (12) 2 (19) 1 (26) 2 (6) 2 (13) 1 (20) 3 (27) 4 (7) 2 (14) 4 (21) 2 (28) 1 Geometry Rating Guide June 11 [2] Updated information regarding the rating of this examination may be posted on the New York State Education Department s web site during the rating period. Check this web site at: http://www.p12.nysed.gov/apda/ and select the link Scoring Information for any recently posted information regarding this examination. This site should be checked before the rating process for this examination begins and several times throughout the Regents Examination period. General Rules for Applying Mathematics Rubrics General Principles for Rating The rubrics for the constructed-response questions on the Regents Examination in Geometry are designed to provide a systematic, consistent method for awarding credit. The rubrics are not to be considered all-inclusive; it is impossible to anticipate all the different methods that students might use to solve a given problem. Each response must be rated carefully using the teacher s professional judgment and knowledge of mathematics; all calculations must be checked. The specific rubrics for each question must be applied consistently to all responses. In cases that are not specifically addressed in the rubrics, raters must follow the general rating guidelines in the publication Information Booklet for Scoring the Regents Examinations in Mathematics, use their own professional judgment, confer with other mathematics teachers, and/or contact the State Education Department for guidance. During each Regents Examination administration period, rating questions may be referred directly to the State Education Department. The contact numbers are sent to all schools before each administration period. II. Full-Credit Responses A full-credit response provides a complete and correct answer to all parts of the question. Sufficient work is shown to enable the rater to determine how the student arrived at the correct answer. When the rubric for the full-credit response includes one or more examples of an acceptable method for solving the question (usually introduced by the phrase such as ), it does not mean that there are no additional acceptable methods of arriving at the correct answer. Unless otherwise specified, mathematically correct alternative solutions should be awarded credit. The only exceptions are those questions that specify the type of solution that must be used; e.g., an algebraic solution or a graphic solution. A correct solution using a method other than the one specified is awarded half the credit of a correct solution using the specified method. III. Appropriate Work Full-Credit Responses: The directions in the examination booklet for all the constructed-response questions state: Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. The student has the responsibility of providing the correct answer and showing how that answer was obtained. The student must construct the response; the teacher should not have to search through a group of seemingly random calculations scribbled on the student paper to ascertain what method the student may have used. Responses With Errors: Rubrics that state Appropriate work is shown, but are intended to be used with solutions that show an essentially complete response to the question but contain certain types of errors, whether computational, rounding, graphing, or conceptual. If the response is incomplete; i.e., an equation is written but not solved or an equation is solved but not all of the parts of the question are answered, appropriate work has not been shown. Other rubrics address incomplete responses. IV. Multiple Errors Computational Errors, Graphing Errors, and Rounding Errors: Each of these types of errors results in a 1-credit deduction. Any combination of two of these types of errors results in a 2-credit deduction. No more than 2 credits should be deducted for such mechanical errors in any response. The teacher must carefully review the student s work to determine what errors were made and what type of errors they were. Conceptual Errors: A conceptual error involves a more serious lack of knowledge or procedure. Examples of conceptual errors include using the incorrect formula for the area of a figure, choosing the incorrect trigonometric function, or multiplying the exponents instead of adding them when multiplying terms with exponents. A response with one conceptual error can receive no more than half credit. If a response shows repeated occurrences of the same conceptual error, the student should not be penalized twice. If the same conceptual error is repeated in responses to other questions, credit should be deducted in each response. If a response shows two (or more) different major conceptual errors, it should be considered completely incorrect and receive no credit. If a response shows one conceptual error and one computational, graphing, or rounding error, the teacher must award credit that takes into account both errors; i.e., awarding half credit for the conceptual error and deducting 1 credit for each mechanical error (maximum of two deductions for mechanical errors). I. Geometry Rating Guide June 11 [3] Part II For each question, use the specific criteria to award a maximum of two credits. Unless otherwise specified, mathematically correct alternative solutions should be awarded appropriate credit. (29) [2] A correctly worded negation of the statement is written, and false. [1] A correctly worded negation for the statement is written, but the truth value is missing or is incorrect. or [1] An incorrectly worded negation with a corresponding mathematically correct truth value is written. [0] False, but no statement is written. or [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. (30) [2] A correct construction is drawn showing all appropriate arcs, and the equilateral triangle is drawn. [1] An appropriate method of construction is shown, but one conceptual error is made, such as not using R and S as the endpoints of the segment. or [1] All construction arcs are drawn, but the triangle is not drawn. [0] A drawing that is not an appropriate construction is shown. or [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. Geometry Rating Guide June 11 [4] (31) [2] 9.1, and appropriate work is shown. [1] Appropriate work is shown, but one computational or rounding error is made. or [1] Appropriate work is shown, but one conceptual error is made. or [1] 9.1, but no work is shown. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. (32) [2] States the reflection is an isometry, and a correct justification is written. [1] Appropriate work is shown, but one conceptual error is made. or [1] States the reflection is an isometry, but an incomplete or incorrect justification is written. [0] States the reflection is an isometry, but no justification is written. or [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. Geometry Rating Guide June 11 [5] (33) [2] 16.7, and appropriate work is shown. [1] Appropriate work is shown, but one computational or rounding error is made. or [1] Appropriate work is shown, but one conceptual error is made. or [1] A correct proportion is written, but no further correct work is shown. or [1] 16.7, but no work is shown. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. (34) [2] (2a 3,3b + 2), and appropriate work is shown. [1] Appropriate work is shown, but one computational error is made, but appropriate coordinates are written. or [1] Appropriate work is shown, but one conceptual error is made, but appropriate coordinates are written. or [1] Appropriate work is shown to find 2a 3 and 3b + 2, but the solution is not written as an ordered pair. or [1] (2a 3,3b + 2), but no work is shown. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. Geometry Rating Guide June 11 [6] Part III For each question, use the specific criteria to award a maximum of four credits. Unless otherwise specified, mathematically correct alternative solutions should be awarded appropriate credit. (35) [4] Both loci are drawn correctly and ( 3,4) and (3,4) are stated. [3] Both loci are drawn correctly, but only one solution is correctly stated. or [3] Both loci are drawn correctly, and the two solutions are indicated on the graph (such as using an X), but the coordinates are not stated. or [3] Appropriate work is shown, but one graphing error is made, but appropriate points of intersection are stated. [2] Appropriate work is shown, but two or more graphing errors are made, but appropriate points of intersection are stated. or [2] Appropriate work is shown, but one conceptual error is made, but appropriate points of intersection are stated. or [2] Both loci are drawn correctly, but the solutions are not stated or are stated incorrectly. [1] One locus is drawn correctly, but no further correct work is shown. or [1] ( 3,4) and (3,4), but no work is shown. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. Geometry Rating Guide June 11 [7] (36) [4] 30, and appropriate work is shown. [3] Appropriate work is shown, but one computational error is made, but an appropriate measure for LMK is found. [2] Appropriate work is shown, but two computational errors are made, but an appropriate measure for LMK is found. or [2] Appropriate work is shown, but one conceptual error is made, but an appropriate measure for LMK is found. or [2] Appropriate work is shown to find m LN = 90 and m LK = 150, but no further correct work is shown. [1] Appropriate work is shown, but one conceptual error and one computational error are made, but an appropriate measure for LMK is found. or [1] 3x + 4x + 5x = 360 is written, but no further correct work is shown. or [1] 30, but no work is shown. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. Geometry Rating Guide June 11 [8] (37) [4] Correct graphs are drawn, and (2, 1) and ( 0.5,1.5) are stated. [3] Appropriate work is shown, but one graphing error is made, but appropriate coordinates are stated. or [3] Both graphs are drawn correctly, but only one correct solution is stated. [2] Appropriate work is shown, but two or more graphing errors are made, but appropriate coordinates are stated. or [2] Appropriate work is shown, but one conceptual error is made, but appropriate coordinates are stated. or [2] Both graphs are drawn correctly, but no solutions are stated. or [2] Work is shown to find (2, 1) and ( 0.5,1.5), but a method other than graphic is used. [1] Appropriate work is shown, but one conceptual error and one graphing error are made, but appropriate coordinates are stated. or [1] (2, 1) and ( 0.5,1.5), but no work is shown. or [1] The parabola is graphed correctly, but no further correct work is shown. [0] (2, 1) and ( 0.5,1.5), but no work is shown. or [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. Geometry Rating Guide June 11 [9] Part IV For this question, use the specific criteria to award a maximum of six credits. Unless otherwise specified, mathematically correct alternative solutions should be awarded appropriate credit. (38) [6] A complete and correct proof that includes a concluding statement is written. [5] A proof is written that demonstrates a thorough understanding of the method of proof and contains no conceptual errors, but one statement or reason is missing or is incorrect. or [5] AOP BOP is proven, but no further correct work is shown. [4] A proof is written that demonstrates a good understanding of the method of proof and contains no conceptual errors, but two statements or reasons are missing or are incorrect. [3] A proof is written that demonstrates a good understanding of the method of proof, but one conceptual error is made. [2] A proof is written that demonstrates a method of proof, but one conceptual error is made, and one statement or reason is missing or is incorrect. or [2] Some correct relevant statements about the proof are made, but three or four statements or reasons are missing or are incorrect. [1] Only one correct relevant statement and reason are written. [0] The given and/or the prove statements are written, but no further correct relevant statements are written. or [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. Geometry Rating Guide June 11 [10] Map to Core Curriculum Content Band Item Numbers Geometric Relationships 8, 12, 18, 31 Constructions 1, 30 Locus 21, 35 Informal and Formal Proofs 2, 4, 5, 6, 7, 11, 16, 17, 19, 20, 24, 25, 28, 29, 33, 36, 38 Transformational Geometry 3, 22, 26, 32 Coordinate Geometry 9, 10, 13, 14, 15, 23, 27, 34, 37 Regents Examination in Geometry June 2011 Chart for Converting Total Test Raw Scores to Final Examination Scores (Scale Scores) The Chart for Determining the Final Examination Score for the June 2011 Regents Examination in Geometry will be posted on the Department s web site at: http://www.p12.nysed.gov/apda/ on Thursday, June 23, 2011. Conversion charts provided for previous administrations of the Geometry examination must NOT be used to determine students final scores for this administration. Online Submission of Teacher Evaluations of the Test to the Department Suggestions and feedback from teachers provide an important contribution to the test development process. The Department provides an online evaluation form for State assessments. It contains spaces for teachers to respond to several specific questions and to make suggestions. Instructions for completing the evaluation form are as follows: 1 . Go to http://www.forms2.nysed.gov/emsc/osa/exameval/reexameval.cfm. 2 . Select the test title. 3. Complete the required demographic fields. 4. Complete each evaluation question and provide comments in the space provided. 5. Click the SUBMIT button at the bottom of the page to submit the completed form. Geometry Rating Guide June 11 [11]

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Additional Info : Scoring Key: page 33
Tags : New York State, High School Regents, Examinations, Past exams, solvedTest Papers, Education, Assessment and Testing.  


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