Name. FORT SMITH SCHOOL DISTRICT Geometry / mod 3 review Math. Teacher Period. Use the figure below to answer question 1.
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1 FORT SMITH SCHOOL DISTRICT Geometry / mod 3 review Math Use the figure below to answer question 1. Name Teacher Period 2. A television antenna is mounted on the peak of a roof. When standing 30 feet away from the end of the building, the angle of elevation to the top of the antenna is measured as A paraskier is being towed behind a boat on a 260 foot rope. If the angle of depression is 52, to the nearest foot, how high is the paraskier from the surface of the water? A. 160 ft. B. 205 ft. C. 333 ft. D. 422 ft. Approximately how far is the top of the antenna from the ground? A ft. B ft. C ft. D ft. 3. While Janine is at the park, she notices that every German shepherd dog is being walked by a boy. She reasons that only boys must own German shepherds. What type of reasoning did she use in making this conclusion? A. deductive B. conductive C. inductive D. productive 1
2 4. Which of the following applies the "top down" approach? 6. Find the value of x and y in the diagram below. A. x = 43, y = 43 B. x = 43, y = 47 C. x = 47, y = 43 A. analogical reasoning B. inductive reasoning C. criteria reasoning D. deductive reasoning Use the diagram below to answer question 5. D. x = 47, y = Which of the following statements is ALWAYS true? A. A parallelogram is a square. B. A square is a rhombus. C. A rhombus is a rectangle. D. A rhombus is a square. 8. In a square, which statement is not true? A. Opposite sides are congruent. 5. How long is EF? A. 50 ft. B. 50 2ft. B. Opposite angles are complementary. C. Diagonals are perpendicular. D. Diagonals are congruent. C. 50 7ft. D. 100 ft. 2
3 Use the figure below to answer question 9. Use the graph below to answer question What is the value of x? A. 7 B. 10 C. 16 D What is the equation of the circle graphed above? A. x 2 + y 2 = 4 B. (x 2) 2 + (y 1) 2 = 4 C. (x + 2) 2 + (y + 1) 2 = 2 D. (x + 2) 2 + (y + 1) 2 = Find the value of x in the figure below. A. 8 B. 14 C. 18 D. 23 3
4 12. A police officer is sitting on the side of the road running a radar. The radar has an accurate coverage within a radius of 800 ft. Use the figure below to answer question 13. What is the equation of the circle that represents the radar coverage? A. (x 3) 2 + (y 1) 2 = 800 B. (x 3) 2 + (y 1) 2 = 640,000 C. (x + 3) 2 + (y + 1) 2 = 800 D. (x + 3) 2 + (y + 1) 2 = 640, Jon s band is giving a football pre-game concert at Grizzly Hall. One of the students comments that his keyboard stand contains an isosceles trapezoid. Which is an incorrect statement about isosceles trapezoids? A. An isosceles trapezoid has exactly one pair of parallel sides. B. The non-parallel sides of an isosceles trapezoid are called bases. C. The line segment of an isosceles trapezoid joining the midpoints of the legs is called the median. D. Base angles of an isosceles trapezoid are congruent. 4
5 14. If FG is 12 cm, what is the length of ED? Use the figure below to answer question 15. A. 5 cm B. 10 cm C. 12 cm D. 17 cm 15. Ronnie is barbecuing steaks. The circular grill he is using has a diameter of 60 centimeters. The horizontal wires are supported by 2 vertical bars that are 16 centimeters apart. If the grill is symmetrical, what is the length, to the nearest tenth of a centimeter, of each vertical support bar? A cm B cm C cm D cm 5
6 16. To keep vehicles from rolling when they are in a parked position, a triangular prism called a chock is sometimes used. It is wedged under the tire between the tires and the ground. In the cross-sectional drawing below, the chock is shown as ΔYPZ and the tire as circle C. Use the figure below to answer question 17. If m = 52, what is the measure of APB? A. 52 B. 104 C. 128 D A ferris wheel contains support beams as shown above. The distance from the center, C, of the ferris wheel to a seat is approximately 90 feet. AB is 220 feet. Beam CE is positioned as a perpendicular bisector of AB. What is the approximate length of beam SĀ? A. 142 ft. B. 180 ft. C. 200 ft. D. 232 ft. 6
7 Use the figure below to answer question What is the length of UI? A. 12 cm B. 15 cm C. 17 cm D. 18 cm 7
8 FORT SMITH SCHOOL DISTRICT Geometry / mod 3 review Answer Key and Alignment Answer Source SLE 1. B TLI T.2.G.6c 2. C TLI T.2.G.6c 3. C TLI LG.1.G.1a 4. D TLI LG.1.G.1a 5. D TLI R.4.G.1e 6. B TLI R.4.G.1e 7. B TLI R.4.G.1f 8. B TLI R.4.G.1f 9. B TLI R.4.G.5j 10. D TLI R.4.G.5k 11. D TLI CGT.5.G.6a 12. B TLI CGT.5.G.6a 13. B TLI R.4.G.1h 14. B TLI R.4.G.5b 15. C TLI R.4.G.5c 16. C TLI R.4.G.5e 17. D TLI R.4.G.5e 18. D TLI R.4.G.5f
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