Circles EOC Assessment 15%
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1 MGSE9-12.G.C.1 1. Which of the following is false about circles? A. All circles are similar but not necessarily congruent. B. All circles have a common ratio of 3.14 C. If a circle is dilated with a scale factor of 2, it gets larger. D. If a circle is dilated with a scale factor less than one, it gets larger. 2. Circle P is dilated to form circle '. P Which statement is ALWAYS true? A. The radius of circle P is equal to the radius of circle '. P B. The length of any chord in circle P is greater than the length of any chord in circle '. P C. The diameter of circle P is greater than the diameter of circle '. P D. The ratio of the diameter to the circumference is the same for both circles. 3. In circle O, which term does not describe PR MGSE9-12.G.C.2 4. In circle O, angle QMP measures 41 degrees.
2 5. In the circle, FG and HJ are intersecting chords. P A. 15 Degrees B. 20 Degrees C. 40 Degrees D. 50 Degrees MGSE9-12.G.C.3 8. In order to circumscribe a circle on a triangle, which line must you construct? A. Median B. Altitude C. Angle Bisector D. Perpendicular Bisector 6. In the circle shown, BC in a diameter and arc AB is 120 degrees 7. Determine the measure of NOP. 9. In order to inscribe a circle in a triangle, which line must you construct? A. Median B. Altitude C. Angle Bisector D. Perpendicular Bisector
3 10. If the measure of BAD = 80, what is the measure of BCD? 13. Determine the area of the sector. A. 10 Degrees B. 40 Degrees C. 80 Degrees D. 10 Degrees MGSE9-12.G.C If the radius of a circle is 6 inches, how long is the arc subtended by an angle measuring 70? 14. In circle C shown below, find area of the minor sector shaded. 12. If the radius of a circle is 3 meters, how long is the arc subtended by an angle measuring 30?
4 a mm 2 b mm 2 c mm 2 d mm Circle E is shown. How many square feet of the yard will be lit by the flood light? A. 1,177.5 square feet B. 2,826 square feet C square feet D square feet MGSE9-12.G.GPE A student used this equation to graph a circle. What is the length of CD? a. b. c. d. 72 yd yd. yd. yd. 16. A flood light in a storage yard spreads light over a distance of 30 feet and is set to rotate through an angle of 150 o. The student then translated the circle 2 units up and 1 unit to the left. What is the equation of the translated circle? A) B) C) D) 18. This equation represents a circle that has been graphed on a coordinate plane. What ordered pair represents the center of the circle? A) B)
5 C) D) A) The circle is centered at and has a radius of 12 units. B) The circle is centered at and has a radius of 12 units. C) The circle is centered at and has a radius of 144 units. D) The circle is centered at and has a radius of 144 units. 19. A student made this graph of a circle. 21. The equations of two circles are shown below. What must be true about the value of k in order for represent a circle? to Which equation represents the circle? A) B) C) D) 20. This equation represents a circle. Which statement about the graph of the circle is correct? A) 3 B) -12 C) 16 D) Which point is on a circle with a center of (3, 9) and a radius of 5? A. ( 6, 5) B. ( 1, 6) C. (1, 6) D. (6, 5)
6 23. Which is an equation for the circle with a center at ( 2, 3) and a radius of 3? A. x 2 + y 2 + 4x 6y + 22 = 0 B. 2x 2 + 2y 2 + 3x 3y + 4 = 0 C. x 2 + y 2 + 4x 6y + 4 = 0 D. 3x 2 + 3y 2 + 4x 6y + 4 = What is the center of the circle given by the equation x 2 + y 2 10x 11 = 0? A. (5, 0) B. (0, 5) C. ( 5, 0) D. (0, 5) 25. If the endpoints of the diameter of a circle are ( 14, 4) and ( 2, 0), what is the standard form equation of the circle?
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