Chapter 10 Worksheet 1 Name: Honors Accelerated Geometry Hour:
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1 hapter 10 Worksheet 1 Name: Honors ccelerated Geometry Hour: For 1-15, find the measure of angle in each of the following diagrams y 80 y X y X y y y 6 y y y 50 4 y
2 X 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 = O X 5 WS #1
3 hapter 10 Worksheet 2 Honors ccelerated Geometry Name: Hour: For 1-15, find the measure of angle in each of the following diagrams y Find the measures of all numbered angles: m 2g Find in terms of g and m 0 40 y Find the measure of Find in terms of y
4 7. 8. y m y = V w y Given: rc = 150 m V 42 m 40 w = 50 y = y 50 y = Given: and are tangent to the big circle Measure of rc = 222 Measure of rc = WS #2
5 hapter 10 Worksheet Honors ccelerated Geometry For 1-12, find the missing value Name: Hour: X = X =. 4. M 0 V 90 E rc M = rc MV m E = X = X =
6 y H c I 9 a b HI = 9. Solve for y in terms of a,b,c w m E Given = 12 Find the perimeter of W = M = M 16 M = 90 X = WS #
7 hapter 10 Worksheet 4 Honors ccelerated Geometry For 1-10, find the missing value Name: Hour: 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 = O X Q Given: OP = 9, QP = 20 P S X = S = X =
8 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 = 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
9 hapter 10 Worksheet 5 Name: Honors ccelerated Geometry Hour: 1. If E = and F = 2, find the radius of each circle E F 2. Find Find in the diagram below Find Find. Hint: equation will not be factorable
10 6. Given: parallelogram MIH. Find MI. 6. M 4 5 I H 7. Find m If is a common internal tangent and = 16, find PQ. 8. P Q Find, if = 10, = 6 and = 9. (all segments are tangents) Show using variables that the parallelogram circumscribed about the circle is a rhombus. WS #5
11 11. Find and y in the diagram below y If = 8, find 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
12 15. The circle in inscribed in Δ, = 21, = 26. Find E is tangent, find E L is a tangent. Find. 17. a 2 L a WS #5
13 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 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 Find the m Find if m 1 = 2, a = and b = a b YZ = 14, find the perimeter of WXYZ. 2. = 16 and = 7. Find the perimeter of. W Y X Z WS #5
14 24. Find the perimeter of the triangle if the hypotenuse is 20 and the radius of the inscribed circle is The circle is inscribed in the triangle. = 9, = 12 and = 17. Find If, E is a tangent. Find O. 26. E 8 2 O 5 WS #5
15 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 Find the measures of angles The line that looks tangent is a tangent m 1= m 2= m = m 4= m 5= m 6= m 7= m 8= m 9= m 10= m 11= WS #5
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