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Unit 10 Circles Practice Test. 1. Identify all tangents for circle O. F H A G O C B D E 2. Define a chord of a circle. 3. AB is tangent to tenth. A O at A (not drawn to scale). Find the length of the radius r, to the nearest 11 B 3 r O 4. Find m PQ in A. Drawing is not to scale. b2 y 5g P Q A S b g y 25 R 5. Given circle O with radius 20 and OC = 12. Find the measure of AB . C A B O 6. Find m BC and m D. 7. Given: m X = 100°; WZ YZ ; m Y = 100° X W Y Z Refer to the diagram to find the measure of each of the following: A. Z B. WZ C. W D. WX 8. Find the measure of 1. 9. Find the measure of 1. 10. Write an equation that can be used to solve for x. Then solve the equation for x. 11. Find the measure of 1. 12. Find the value of x. 9 10 25 x 13. Find the equation of the circle with center (5, –2) and radius of 2. 14. Sketch the graph of ( x – 4) 2 ( y 3) 2 25 . Label the coordinates of the center and the intercepts. y 3 –2 10 x –9 15. Determine the locus of all points that are 4 units from the origin and on a line with slope –1 and y-intercept –4. Reference: [10.1.1.1] [1] CE Reference: [10.1.1.3] [2] A chord of a circle is a segment with endpoints on the circle. Reference: [10.1.2.19] [3] 18.7 Reference: [10.2.1.30] [4] 55 Reference: [10.2.2.38] [5] 32 Reference: [10.3.1.51] [6] m BC = 80°, m D = 40° Reference: [10.3.2.56] [7] A. m Z = 80° B. m WZ = 100° Reference: [10.4.1.62] [8] 70° Reference: [10.4.1.63] [9] 121° Reference: [10.4.2.64] 1 [10] 36 x 65 , x = 94° 2 b g Reference: [10.4.2.74] C. m W = 80° D. m WX = 100° [11] 68° Reference: [10.5.1.78] 7 [12] 27 9 Reference: [10.6.1.82] 2 2 [13] x 5 y 2 4 b gb g Reference: [10.6.2.89] [14] y 3 0, 0 8, 0 –2 10 x 4, - 3 0, - 6 –9 Reference: [10.7.2.98] [15] The solutions are (0, –4) and (–4, 0). y 10 10 x –10 –10