Geometry & Measurement Part 3

Transcription

1 The following worksheets should be used to complete this homework set. Instructions for 1. Complete the problems included in this homework set and enter your answers online. 2. Remember to review the next 25 vocabulary flashcards, complete the practice Essay Prompt (included in Part 1) and complete the next Critical Reading Passage found in the Appendix of your Student Manual. 1. Go to 2. Click the Student Login link. Once you have completed this problem set: 3. Login using your personalized username and password. 4. Select the link to the answer page for this assignment and transfer the answers from your completed worksheet to the online scoring program. 5. Upon entering your scores, you will unlock the bonus problem set for this chapter. Complete these sets as instructed by your tutor. 6. In your next session, your tutor will analyze your homework results with you, as well as review your essay and critical reading passages. If you have any questions, please feel free to contact your local program manager at: 1-7-STUDYPOINT 1

2 Use this sheet to record your answers to the problems below. Good Luck! PART 2 1 (see grid-in) 2 (see grid-in) 3 (see grid-in) 4 A B C D E 5 A B C D E 6 A B C D E 7 A B C D E A B C D E 9 A B C D E 10 A B C D E 11 A B C D E 12 A B C D E 13 A B C D E 14 A B C D E 15 A B C D E Please complete your assigned Grid-In Problems in the spaces provided below:

3 DIRECTIONS FOR MULTIPLE CHOICE QUESTIONS: For this section, you may use the available space for your scratchwork. Solve each problem, and fill in the corresponding oval for your answer on the answer sheet. DIRECTIONS FOR GRID-IN QUESTIONS: These questions require you to solve the problems on your own and enter your answers into the corresponding grids by marking the appropriate ovals. Do not mark more than one oval per column. Columns not needed should be left blank. You will receive credit only if you fill the ovals in correctly. Some questions may have more than one correct answer. Only grid in one of the correct answers. No answer will have a negative value. Mixed numbers, such as 1 1 must be entered as 1.5 or 3/2. 2 Decimal answers with more digits than the grid can accommodate can be either rounded or truncated, but you must fill the entire grid. For example, can be entered as 2/3,.666 or.667. If.66 or.67 is entered instead, it will be scored as incorrect. Notes 1. You are allowed to use a calculator on this section. 2. Only real numbers are used. 3. Figures that accompany problems in this section are provided to help you solve the problem. You can assume that figures are accurately drawn to scale EXCEPT when it is noted otherwise. All figures lie in a plane unless otherwise noted. 4. The domain of any function f is defined as the set of all real number x values for which f(x) is a real number, unless otherwise noted. Reference Information r A = πr 2 C = 2πr l A = lw w b A = 1 2 bh w l V = lwh The number of degrees of arc in a circle is 360. The measure in degrees of a straight angle is 10. The sum of measures in degrees of the angles of a triangle is 10. h h r V = πr 2 h h c b a a 2 + b 2 = c 2 2x 30 x 3 60 x s 45 s 2 s 45 3

4 1. Triangle ABD has an area of 12. What is the length of BC? 4. Circle P and circle Q each have the same radius, r. The two circles intersect as shown above to produce the segment AB with a length x. Which expression below gives the length of segment PQ? (A) r x (B) r + x (C) 2r x (D) 2(r x) (E) 2r + x 2. What is the area of the quadrilateral ABCD shown above? 3. In a coordinate plane, a circle intersects the y-axis at exactly one point. If the center of the circle is (5, 7), what is the length of the radius of the circle? 5. If the area of triangle ABC, given above, is 20, what is its perimeter? (A) 19 (B) 20 (C) 21 (D) 22 (E) 23 4

5 6. The circular face of the hemisphere above has an area of 9 square feet. What is the volume, in cubic feet, of the hemisphere? (A) 6 (B) 12 (C) 1 (D) 27 (E) 36. If PQRS in the figure above is a quadrilateral with x y, then what is the value of x + z? (A) 10 - w - y (B) w + y (C) 10 + w + y (D) w - y (E) w + y 7. In the figure above, square ABCD contains 4 small squares each of side length 2 2 and a circle O of area 36. If the diagonal AC passes through the corners of the two smaller squares and the center of the circle, what is the length of the diagonal of square ABCD? (A) 10 (B) 12 (C) 14 (D) 16 (E) Area of circle O is three times the area of circle M. What is the length of the arc CD? (A) (B) 4 3 (C) 3 3 (D) 2 3 (E) 3 3 5

6 10. In the figure above, what is the value of h? (A) 13 (B) 12 2 (C) 13 2 (D) 30 (E) ΔJKL is an isosceles triangle with base JL. If the area of the triangle is 24, the coordinates of point J are (2, 2), and that of point L are (10, 2), what are the coordinates of point K? 13. In the figure above, AE, BF, CG, and HD intersect at P. What is the value of x? (A) 25 (B) 40 (C) 45 (D) 65 (E) 70 (A) (6, ) (B) (6, 2) (C) (4, 6) (D) (4, ) (E) (6, 6) 12. Which of the following is the equation of a line passing through the point (3, 2) and perpendicular to the line x + y = 1? (A) x + y = 5 (B) x y = 1 (C) x + y = 1 (D) x + y = 5 (E) x y = 1 6

7 14. Circle O has a diameter of 12. What is the length of arc BC? (A) 5 2 π (B) 7 2 π (C) 5π (D) 7π (E) 10π 15. On a coordinate plane, line x y = 0 is the perpendicular bisector of line segment PQ and the x-axis is the perpendicular bisector of line segment QR. If the coordinates of P are (2, 5), what are the coordinates of R? (A) ( 5, 2) (B) ( 5, 2) (C) (2, 5) (D) (5, 2) (E) (5, 2) 7