Geometry H Ch. 10 Test

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1 Geometry H Ch. 10 est 1. In the diagram, point is a point of tangency,, and. What is the radius of? M N J a. 76 c. 72 b. 70 d In the diagram, is tangent to at, is tangent to at,, and. Find the value of x. M N a. x = 29 c. x = 9 b. x = 99 d. x = physics experiment is set up using two pulleys, a string, and a weight as shown below. he larger pulley has a radius of 20 centimeters, and the smaller pulley has a radius of 5 centimeters. he distance between the centers of the pulleys is 51 centimeters. he string is pulled tightly across both pulleys so that is a common tangent of the pulleys. Find the length of string from to to the nearest tenth of a centimeter. J weight a cm c cm b cm d cm 4. In the diagram,. Find.

2 J H 5. In the diagram,. Find and. U a., c., b., d., 6. In the diagram, and. Find. a. = c. = b. = d. = 7. In the diagram,. Find. G E F H

3 a. = 59 c. = 29.5 b. = 118 d. = In the diagram,. Find the value of x. O 9. In the diagram,,,, and. Find the value of each variable. G F E a., c., b., d., 10. In the diagram, line m is tangent to the circle and. Find. m Find the value of x.

4 11. x G a. x = 104 c. x = 72.5 b. x = 93.5 d. x = G 40 x 115 a. x = 35 c. x = 27 b. x = 75 d. x = 77.5 C 13. satellite at point is orbiting Earth at 3600 miles. he satellite can only send a signal over the part of Earth that is visible to the satellite, represented by. What is the measure of, the portion of Earth from which the signal is visible? (Earth s radius is approximately 4000 miles.) 3600 mi C 4000 mi a. m c. m b. m 58.2 d. m In the diagram,,,, and. Find.

5 M N J L 15. In the diagram,,,, and. Find the value of x. J M N L 16. Find the value of x x In the diagram,,,, and. Find the value of x. a. x = 6 c. x = 8.1 b. x = 9.5 d. x = 10

6 18. Find. 45 x park downtown has a circular fountain with a walkway that runs tangent to the fountain. You want to find the radius of the fountain using indirect measurement. You stand on the walkway at a point 16 meters from where it meets the fountain. his point is represented by C in the diagram below and is 9 meters from the edge of the fountain. nowing is tangent to the circle, find the radius r of the fountain. C 9 m 16 m E r r a. r = 9.7 m c. r = m b. r = 7 m d. r = 19.4 m Use the diagram of circle to answer the question. V U 20. What word best describes?

7 b. chord 21. What word best describes? b. chord 22. What word best describes? b. chord 23. What word best describes? b. chord 24. What word best describes? b. chord

8 Geometry H Ch. 10 est nswer ection 1. N: : 1 IF: Level 1 EF: Geometry ec N: HG-C..2 EY: circle radius of a circle NO: Example 4 2. N: : 1 IF: Level 1 EF: Geometry ec N: HG-C..2 EY: circle tangent of a circle application NO: Example 5 3. N: : 1 IF: Level 3 EF: Geometry ec N: HG-C..2 EY: circle tangent of a circle application NO: Example 5 4. N: : 1 IF: Level 1 EF: Geometry ec N: HG-C..2 EY: inscribed angle NO: Example 1 5. N: : 1 IF: Level 1 EF: Geometry ec N: HG-C..2 EY: inscribed angle NO: Example 2 6. N: : 1 IF: Level 1 EF: Geometry ec N: HG-C..2 EY: inscribed angle NO: Example 2 7. N: : 1 IF: Level 1 EF: Geometry ec N: HG-C..2 EY: inscribed angle NO: Example 3 8. N: : 1 IF: Level 1 EF: Geometry ec N: HG-C..2 EY: inscribed polygon application NO: Example N: : 1 IF: Level 1 EF: Geometry ec N: HG-C..2 EY: inscribed polygon application NO: Example N: : 1 IF: Level 1 EF: Geometry ec N: HG-C..2 EY: circle measures of arcs NO: Example N: : 1 IF: Level 1 EF: Geometry ec N: HG-C..2 EY: circle application measures of arcs NO: Example N: : 1 IF: Level 1 EF: Geometry ec N: HG-C..2 EY: circle application measures of arcs NO: Example N: : 1 IF: Level 2 EF: Geometry ec N: HG-C..2 EY: circle application circumscribed angle NO: Example N: : 1 IF: Level 1 EF: Geometry ec N: HG-C..2 EY: circle segments of a chord application NO: Example N: : 1 IF: Level 1 EF: Geometry ec N: HG-C..2 EY: circle segments of a chord application NO: Example N: : 1 IF: Level 1 EF: Geometry ec N: HG-C..2 EY: circle application secant segment NO: Example N: : 1 IF: Level 1 EF: Geometry ec N: HG-C..2 EY: circle application secant segment NO: Example N: : 1 IF: Level 2 EF: Geometry ec N: HG-C..2 EY: circle application secant segment tangent of a circle NO: Example 3-2

9 19. N: : 1 IF: Level 1 EF: Geometry ec N: HG-C..2 HG-MG..1 EY: circle application secant segment tangent of a circle NO: Example N: C : 1 IF: Level 1 EF: Geometry ec N: HG-CO..1 HG-C..2 EY: circle NO: Example N: : 1 IF: Level 1 EF: Geometry ec N: HG-CO..1 HG-C..2 EY: circle NO: Example N: : 1 IF: Level 1 EF: Geometry ec N: HG-CO..1 HG-C..2 EY: circle NO: Example N: E : 1 IF: Level 1 EF: Geometry ec N: HG-CO..1 HG-C..2 EY: circle NO: Example N: : 1 IF: Level 1 EF: Geometry ec N: HG-CO..1 HG-C..2 EY: circle NO: Example 1

Example 1: Finding angle measures: I ll do one: We ll do one together: You try one: ML and MN are tangent to circle O. Find the value of x

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