Geometry EOC Review. m DBC + m GFH = 180? 3 a. Write the equation of a line parallel to line m that goes through point (5, -3). AC EG?

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1 1 1. The equation of line m is y = x a. Write the equation of a line parallel to line m that goes through point (5, -3). 9. The coordinates of the endpoints of side FA are F(3, -1) and A(-3, -3). Side FA is one of four sides on square FAME. What is the area of square FAME? b. Write the equation of a line perpendicular to line m that goes through point (2, 7) 10. Find the area of the composite figure below. # s 2-8 Use the figure below to answer each question. 11. Find the volume of the square pyramid below. 2. ABD HFG, which theorem or postulate justifies the conclusion that AC EG? 3. If AC EG, what is the reason EFH ABF? 4. If AC EG, what is the reason m DBC + m GFH = 180? 12. A square pyramid has a volume of 179 cubic centimeters and a height of 11 centimeters. What is the approximate length of each side of the base? 5. What is the reason m ABD + m ABF = 180? 6. What is the reason BFG EFH? 13. Find the volume of the cylinder below. Leave answers in terms of π. 7. If m ABF + m BFE = 180, what is the reason AC EG? 8. If CBF EFB, what is the reason AC EG?

2 14. A tree casts a shadow 50m long. The distance from the top of the tree to the end of the shadow is 50m long. How tall is the tree? Round to the nearest tenth. 18. A triangle has vertices at J(-6, 9), O(-9, 6), and Y(-3, 3). What are the coordinates of each vertex if the triangle is: a) Reflected over the x-axis? b) Reflected over the y-axis? 15. Find the value of a in the triangle below. Leave answer in simplified radical form Identify the theorem, if any, which can be used to prove the triangles congruent (SSS, SAS, ASA, AAS, HL ). If they are congruent, then write the congruence statement that describes the triangles ( ) Solve for x. Round to the nearest tenth Elly and Jeff are on opposite sides of a canyon that runs east to west, according to the graphic. They want to know how wide the canyon is. Each person stands 10 feet from the edge. Then, Elly walks 24 feet west, and Jeff walks 360 feet east. What is the width of the canyon? 22.

3 For each polygon listed find each measure: a) The sum of the interior angles b) Each interior angle c) The sum of exterior angles d) Each exterior angle 23. Decagon 29. Name 3 other quadrilaterals that are also parallelograms. 30. Name 1 other quadrilateral that is a rhombus. 31. Find the other three angles on isosceles trapezoid RSTV 24. Heptagon S T R 123 V gon 32. To the nearest tenth of a foot, how tall is a building 100 feet away (d = 100) if the top of the building is sighted at a 20 angle (n = 20)? 26 28, solve for x. Round lengths to the nearest tenth, round angles to the nearest degree Find the measure of x. 10 x 24 x 53 7 x 28. x Find the perimeter of the rhombus below. Round answer to the nearest hundredth. D G C H

4 35. Find the perimeter of the kite below. Round answer to the nearest hundredth. 41. Find m CBA. A B X 77 C W 8 12 V 6 8 Y D 112 Z 36. What is the equation of a circle with center (-4, 5) and diameter What is the center and radius of a circle with each equation x + y = Find the length of a. Round answers to the nearest tenth a x y x y = a Use the picture below to answer the questions. A C 4 5 E 9 D B 39. To the nearest tenth, find the length of DC. 44. Find the measure of SGI 45. Find the measure of the intercepted arc, KM. 40. If AC is 33 and DB is 45, find the m BEC.

5 46. Find the length of CD A spinner numbered 1-12 is spun twice, what is the probability 7 is spun both times? Write your answer as a fraction. 47. Find the measure of C and A if m B = The cafeteria offers 5 different sandwiches. a) How many possible sandwich orders can you order during a 4-day period? 48. A square is inscribed in a circle. The side length of the square is 4 centimeters. Calculate the area of the shaded region. Leave your answer in terms of π. b) If you wanted a different sandwich each day, how many orders can you make during a 4-day period? 52. You randomly choose a block from each set in the diagram. What is the probability that you will choose a block labeled with a T or a block labeled with a 6? Write your answer as a fraction. 49. What is the area of sector COD. Leave your answer in terms of π A store is having a grand opening sale. To attract customers, the manager plans to randomly choose one of the first 50 customers opening day for a prize. If you and a friend are among the first 50 customers, what is the probability that one of you will win the prize? Write your answer as a fraction.

6 54. The two-way frequency table shows the number of students from each grade who plan to attend this year s homecoming football game. Suppose a student was selected at random. What is the probability that the student is a sophomore or is attending the homecoming game? Round to the nearest tenth of a percent.