Honors Geometry Final Exam Study Guide

1 2011-2012 Honors Geometry Final Exam Study Guide Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. In each pair of triangles, parts are congruent as marked. Which pair of triangles is congruent by ASA? A. C. B. D. ____ 2. Which three lengths could be the lengths of the sides of a triangle? A. 20 cm, 6 cm, 6 cm C. 9 cm, 14 cm, 22 cm B. 14 cm, 6 cm, 20 cm cm, 23 cm, 11 cm ____ 3. Which figure is a convex polygon? A. C. B. D. Short Answer 4.

2 Are E, F, and H collinear? If so, name the line on which they lie. EFGH 5. Name the line and plane shown in the diagram. OPMN 6. Name the ray in the figure. CD 7. If T is the midpoint of find the values of x and ST. SUT8x4x + 20 8. Name an acute angle, an obtuse angle, and a right angle. PQRST 9. If and then what is the measure of 10. bisects.

3 Find . 11. Line r is parallel to line t. Find m5. rt7132654138 12. Find the value of the variable if and 12345678lm 13. Find the value of k. 80 40 k 14. What is the measure of a base angle of an isosceles triangle if the vertex angle measures 44 and the two congruent sides each measure 21 units? 44 Drawing not to scale2121 15. Classify the polygon by its sides. 16. ABCD is a parallelogram.

4 If then ABDC 17. LMNO is a parallelogram. If NM = x + 13 and OL = 3x + 3 find the value of x and then find NM and OL. ONLM Solve the proportion. 18. 19. 20. Find x so that . PQRST , , , 21.. Complete the statements. DCEBAJHGF a. b. ABGHDJ Find the geometric mean of the pair of numbers. 22. 400 and 4 Find the length of the missing side. The triangle is not drawn to scale.

5 23. 86 24. 1312 25. A triangle has sides of lengths 9, 7, and 12. Is it a right triangle? Explain. Find the value of x. Round your answer to the nearest tenth. 26. x 8 Not drawn to scale Find the value of x. Round to the nearest tenth. 27. 20x Not drawn to s cale Find the value of x. Round to the nearest degree. 28. 189x Not drawn to scale 29.

6 X11 19 Not drawn to scale Find each measure using the given measures of . Round measures to the nearest tenth. 30. If , , and , find . 31. In , given the following measures, find the measure of the missing side to the nearest , , 32. Name the minor arc and find its measure. CBAD)115 33. Name the major arc and find its measure. CBAD)50 Use the diagram to find the measure of the given angle.

7 ABDCFE50 34. 35. 36. Use the diagram to find the measure of the given angle. RPTSQ(3 + 35) (4 + 15) xx 37. Find the measure of the numbered angle. 38. 100 130 1 39. Find the measure of 88220 Find x. Assume that any segment that appears to be tangent is tangent. 40. x 10 60 Find the circumference. Leave your answer in terms of.

8 41. cm 42. Find the perimeter of the rectangle. 35 ft55 ft Find the area of the circle. Leave your answer in terms of . 43. m 44. Find the area of the shaded region when the circle is removed from the Dimensions are in feet. Use for . 45. The figure is formed from rectangles. Find the total area. 7 ft3 ft3 ft10 ft Find the area. 46. cm 47. Find the area15 cm9 cm 48. Find the area 9 cm9 cm11 cm8 cm13 cm 49.

9 Find the in . 50. The area of a parallelogram is 400 cm2 and the height is 40 cm. Find the corresponding base. Find the area of the indicated sector(s). Then find the probability of spinning the color indicated if the diameter of the spinner is 12 units. 51. blue 72 72 72 72 72 blueblue 52. white whiteblueorangeorangeorange44 90 46 48 47 43 42 bluewhite 53. Find the probability that a point chosen at random lies in the shaded region.

10 Find the surface area of the cylinder in terms of . 54. 5 in .11 drawn to scale Find the surface area of the pyramid shown to the nearest whole number. 55. 4 ft4 ft9 ftNot drawn to scale Find the volume of the given prism. Round to the nearest tenth if necessary. 56. 14 ft8 ft4 ftNot drawn to scale Find the volume of the cylinder in terms of . 57. 5 in .Not drawn to scale Find the volume of the square pyramid shown.