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1 10 Part Answer all 8 questions in this part. Each correct answer will receive credits. No partial credit will be allowed. For each question, write in the space provided the numeral preceding the word or expression that best completes the statement or answers the question. 1. Which is the equation of a line that is parallel to the line y = ~x + 3? (l)y=x+3 (3)y=-x ()y= -x+4 (4)y=x+3. Which ofthe following sets of numbers could not be the measures of the three sides of a triangle? (1)1,7,7 (), 3, 5 (3)7,9,15 (4) 4, 4, 7 _ 3. Which is the equation of a line that passes through the point (1, 0) and is perpendicular to the line 4y = -x + 8? (1)y=x+8 ()y=-x-4 (3)y=-x-1 (4)y=x- 3 _ 4. The volume of a right circular cone is 1501t cubic centimeters. Find its altitude in centimeters ifthe radius of the base is 5 cm. (1) () 6 (3) 18 (4) n a regular pyramid, which of the following statements is always true? (1) The base is a rhombus. () The base is a square. (3) The edges of the pyramid are all congruent. (4) The lateral faces of the pyramid are congruent isosceles triangles. 5 _ 6. What is the equation of circle A in the accompanying diagram? (1) (x-1)+(y-3)= 16 ()(x+ 1)+(y+3)= 16 (3) (x+ 3f-(y+ 1)= 16 (4) (x+ 1)_(y+ 3)= v r-... i'.. - a i\. 1/ \ 6 _ 7. Under a reflection over the line y = 0, which is not preserved? (1) orientation () size (3) shape (4) perimeter 7 _ A 4 1\ 5 J \.. 6 ''... V 3 V V What is the center of a circle with the following equation? (x - 1f + (v + ) = 49 (1)(1,) ()(1,-) (3)(-1,-) (4)(-1,) 9. Which transformation describes the figures below? (1) Rx-axis () Ry-axis (3) R y ~x (4) R y =-x ~ 1/ \. \ 1/ " -6 \/4 1" J / 6 8 _ 9 _ S, i 10. Rhombus ABCD is shown to the right. Which can not be the length of diagonal AC? (1) 4m (3) 14m \ () 18 m (4) 11 m 1 ' What is the volume of a right circular cone if the radius of the base is 7 and the altitude of the cone is 1? (1) 841t () 1681t (3) 1961t (4) 941t 1. Line n and line m are coplanar and intersect at point A. Line r is perpendicular to both lines nand m at A. Describe the relationship between lines n, m, and r. (1) Line r is parallel to the plane formed by lines nand m. () Line r is perpendicular to the plane formed by lines nand m. (3) A right triangle is formed by lines m, n, and r. (4) All the intersections oflines n, m, and r form right angles. 13. AC is tan~nt to circle 0 at B. BD is a chord. Arc BD = 110. What is the measure of LABD? (1)110 (3) 00 () 15 (4) Point H is located at (-5, 7). What are the coordinates of the image of Point H after a rotation about the origin? (1) (-7, -5) () (5, -7) (3) (7,5) (4) (-5, 7) 14 - c - -._==:.AL-.- -'m"" _

2 1 15. Line m is perpendicular to plane A. How many planes can contain line m and also be perpendicular to plane A? (1) 1 () (3) 0 (4) An infinite number The sum ofthe exterior angles added to the sum of the interior angles of a polygon must be (1) less than (3) greater than or equal to () equal to (4) greater than or equal to What is the length of a line segment with the endpoints (1, 5) and (3, )? (l)ffi ()$ (3)-J3ij (4).J What is the negation of the statement, "The bus was traveling at 55 miles per hour." (1) The bus was traveling at 50 miles per hour. () The bus was traveling at 65 miles per hour. (3) The bus was not traveling at 55 miles per hour. (4) The bus was stopped. 18 _ 19. What is the relationship ofthe two lines with the equations - 3y = x - 6 and y = 3x +? (1) parallel (3) intersecting () perpendicular (4) none of the above 19 _ 0. Given this true statement: Mark is seventeen years old or Mindy is fifteen years old. What could be true about the ages of Mark and Mindy? (1) Mark is 17 and Mindy is 15. () Mark is 16 and Mindy is 16. (3) Mark is 18 or Mindy is 17. (4) Mark is 18 or Mindy is _ 1. Which construction represents the accompanying illustration? (1) angle bisector () perpendicular bisector (3) line parallel to a given line (4) congruent angle.../t...' 1 _. The legs of a right triangle measure J3 and 5. What is the length of the hypotenuse? (1)ffi ()ffi (3).J43 (4)ffi 3. n MBC, medians AD, A - - BF, and CE are drawn and intersect at G. EG =. What is the length of GC? (1) 1 B () (3) 4 (4) 6 4. Paralle10gramABCD has diagonals AC andbd. Which ofthe following statements is always true? (1) t (AC)(BD) = Area ofabcd (3) MBC ~!1CDA 13 ()AC=BD (4)MBD~MBC 4 5. Two triangles are similar. The lengths ofthe sides of the smaller triangle are 4, 6, 7. The longest side of the larger triangle is 1. What is the perimeter of the larger triangle? (1)17 ()18 (3)4 (4) n circle 0, ABC is a secant, AE is tangent to the circle at E. What is the length ofae? (1)5,J (3) 5 ()$ (4) Which is the equation ofa circle with a center of(5, ) and a radius of 10? (1) (x + 5) - (y + f = 10 (3) (x + 5) - (y +f = 100 ()(x-5)+(y-f= 10 (4)(x-5f+(y-)= n triangle ABC, ED A connects the midpoints of AB - - and AC. The length of ED is What is the length ofbc? 0 y ~ (1) 4 () 1 (3) 16 Sf "',e (4)0 8 c 'A 3 _...,r _._ 40,

3 14 15 Part 31. Construct a bisector for the angle shown below. (Leave all construction marks) Answer all 6 questions in this part. Each correct answer will receive 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. [1] 9. Find the coordinates ofthe midpoint ofthe segment joining (-, 4) and (8,6). 30. Quadrilateral RSTUhas vertices ofr(-3, -), S(-6, -), T(-7, -4) and U(-, -4). Draw and state the coordinates of the image, R'S'T'U', under a glide reflection where T -4 and R.. y-axs 3. Given this true statement: fjoe lives in New York State, then he starts school in September. Write the contrapositive of this statement and state whether it is true or false. 33. What is the radius of a sphere that has a surface area of l44rc? j-+-j-+l L_~.,~...-r-r-l..._- f , ". t L-ej.L-.- ~=~t'~ - -i -~-ltill tf'' L~LiJlL -l ultill_1j ~ J4l45A4?j.Q.ww

4 Write the equation of the locus ofpoints two units from (-3, 4). Part The use ofthe coordinate grid is optional. 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. [1] 35. Solve this system of equations graphically: y=_x + x+4 y=x- -'"

5 18 19 Part V 36. AB and CD are intersected by EF E Answer the question in this part. The correct answer will receive 6 at G and H as shown in the diagram. 3x-6 credits. Clearly indicate the necessary steps, including appropriate formula LEGA = 3x - 6 and LCHF= x + 4. B A substitutions, diagrams, graphs, charts, etc. For the question in this part, a fx = 6, determine if AB CD and / correct numerical answer with no work shown will receive only 1 credit. [6J justify your answer. o C X+1H /VR 38. Given: Quadrilateral QRST QR TS, TS -lsq, TQ ~ RS F Prove: QR ~ TS. S T i 37. The perimeter of a square is 7. Express the length of a diagonal of the square in simplest radical form..~ ~, f;., t (....