hapter 10 Worksheet 1 Name: Honors ccelerated Geometry Hour: For 1-15, find the measure of angle in each of the following diagrams. 1. 2.. 258 84 140 40 4. 5. 6. 2 y 80 y 72 7. 8. 9. 50 X 40 140 4 y 10. 11. 12. X 240 5 y 276 1. 14. 15. 4 y y 6 y y y 50 4 y
16. 17. X 7 14 2 87 X = m m 18. M 19. O 200 M V 15 V T Given: m MV 50 Given: M = 10, T = 8 m OM VT = 20. 21. 20 8 8 7 O X 5 WS #1
hapter 10 Worksheet 2 Honors ccelerated Geometry Name: Hour: For 1-15, find the measure of angle in each of the following diagrams. 1. 2. y 111 47 68. 10 9 6 5 Find the measures of all numbered angles: 1. 2.. 4. 5. 6. 80 7. 8. 9. 10. 11. 1 4 50 4. 8 7 2 m 2g 11 20 140 5. 6. Find in terms of g and m 0 40 y Find the measure of Find in terms of y
7. 8. y 5 40 10 m y = 9. 10. V w y Given: rc = 150 m V 42 m 40 w = 50 y = 11. 12. 50 92 y 50 y = Given: and are tangent to the big circle Measure of rc = 222 Measure of rc = WS #2
hapter 10 Worksheet Honors ccelerated Geometry For 1-12, find the missing value 1. 2. Name: Hour: 110 40 110 0 X = X =. 4. M 0 V 90 E rc M = rc MV m E = 5. 6. 10 15 2 X = X =
7. 8. 8 y H c I 9 a b HI = 9. Solve for y in terms of a,b,c 10. 7 w m E Given = 12 Find the perimeter of W = M = 12. 11. 60 14 18 4 M 16 M = 90 X = WS #
hapter 10 Worksheet 4 Honors ccelerated Geometry For 1-10, find the missing value Name: Hour: 1. 2. Given circle & V M F V 2 4 MF = 8, FV = 8, is on circle Given: oncentric ircles = V =. 4. M 0 V 90 E rc M = rc MV m E = 5. 6. 4 O X Q Given: OP = 9, QP = 20 P S X = S = X =
7. 8 11 X = I X 17 4 For 8, assume circles do NOT intersect and for 9, assume they are tangent F 10. T 9 8 E X L V X = 8. Given: TV = 14, FT = 6, V = L = 9. Given: FT = 5, L = 8 V = 12. 11. 10 M 6 N S 2 8 Y H T 6 Given: MTH is a parallelogram Given: NSY is a parallelogram Radius of the circle = Radius of the circle = WS #4
hapter 10 Worksheet 5 Name: Honors ccelerated Geometry Hour: 1. If E = and F = 2, find the radius of each circle. 1. 9 E F 2. Find. 2. 2 0. Find in the diagram below.. 4.5 4. Find. 4. 6 8 5. Find. Hint: equation will not be factorable. 5. 5 5 6
6. Given: parallelogram MIH. Find MI. 6. M 4 5 I H 7. Find m. 7. 70 8. If is a common internal tangent and = 16, find PQ. 8. P Q 8 4 9. Find, if = 10, = 6 and = 9. (all segments are tangents) 9. 10. Show using variables that the parallelogram circumscribed about the circle is a rhombus. WS #5
11. Find and y in the diagram below. 11. 9 5 y 10 12. If = 8, find. 12. 4 1. O = 1, = 11, O = 8, find the radius of circle. 1. O 14. = 12, OP = 15, and O = 4. Find O. is tangent to both circles. 14. P O WS #5
15. The circle in inscribed in Δ, = 21, = 26. Find. 15. 9 5 16. E is tangent, find. 16. 21 E 5 17. L is a tangent. Find. 17. a 2 L a WS #5
18. is tangent. Find eactly. Hints: you must find X, cannot use quadratic formula, and cannot use tangent-secant formula b/c it won t factor. 18. 51 2 X 19. Find the radius of one circle. ll circles are congruent. The triangle is equilateral and all sides are common tangents. Each side of the triangle has length 12 + 12. 19. 20. Find the m 1. 21. Find if m 1 = 2, a = and b = + 0 20. 1 1 a b 21. 8 8 100 8 22. YZ = 14, find the perimeter of WXYZ. 2. = 16 and = 7. Find the perimeter of. W Y 22. 2. 5 X Z WS #5
24. Find the perimeter of the triangle if the hypotenuse is 20 and the radius of the inscribed circle is 4. 24. 25. The circle is inscribed in the triangle. = 9, = 12 and = 17. Find. 25. 26. If, E is a tangent. Find O. 26. E 8 2 O 5 WS #5
27. is tangent to both circles. PQ = 9. The radius of circle P is 2, circle Q s radius is 4. Find. 27. P Q 28. is tangent to the circle. Find and the radius of the circle. 28. 6 8 29. Find the measures of angles 1-11. The line that looks tangent is a tangent. 10 9 6 5 1 80 4 50 8 7 2 20 11 m 1= m 2= m = m 4= m 5= m 6= m 7= m 8= m 9= m 10= m 11= WS #5