MR. JIMENEZ FINAL EXAM REVIEW GEOMETRY 2011
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1 PAGE 1 1. The area of a circle is 25.5 in. 2. Find the circumference of the circle. Round your answers to the nearest tenth. 2. The circumference of a circle is 13.1 in. Find the area of the circle. Round your answers to the nearest tenth. 3. Find the area of the equilateral triangle below: Find the area and perimeter of the square below: 6 5. A blueprint of a house to be constructed shows all parts the same shape as those of the actual house and sizes that are proportional to corresponding parts of the actual house. What geometric relationship does this model illustrate? a) congruence b) symmetry c) similarity d) parallelism 6. Find sin F and sin G (as a decimal)- G 96 H Determine whether the following can form a right triangle: a) 3, 4, 5 b) 1, 1, 2 c) 5, 12, 13 d) 6, 8, 10 F
2 PAGE 2 8. If the area of a square is inches squared, what is the length of each side? 9. If the area of a triangle is 210 inches squared and the base is 50 inches, what must be the height? 10. If a line has a slope of 3/4, find: a) a line parallel b) a line perpendicular with y-intercept If the point (-2, 3) is reflected over the x-axis, find its new coordinates. 12. If the point (-4, -1) is reflected over the y-axis, find its new coordinates. 13. In isosceles triangle KLM, angle M is the vertex angle. Find the measure of angle K, if angle M is 54 degrees. 14. Which of the following sets of numbers can be the sides of a triangle? a) 5, b) 35, 45, 9 c) 3, 4, 9 d) 6, 7, List the sides in order from shortest to longest 17. Find the measure of angle BCA
3 PAGE Quadrilateral ABCD is similar to Quadrilateral RSTU. Find X. Use this diagram for If the measure of angle RST = x + 20 and measure of angle STU = 2x + 10, find the measure of angle RST. 20. If ST = 2x + 10 and RU = 5x -2, find ST. 21. If SV = 2y + 6 and SU = 24, find the value of y Find the length of the summation vector. (Consider Pythagorean Theorem.)
4 PAGE Which theorem proves these congruent? A) B) 24. Find the value of Y 25.
5 PAGE Find the measure of the hypotenuse of a right triangle if the legs are 3 and A line passes through (2,3) and (3,2). What is true about the slope of the line? 29. Triangle ABC can be classified as: 30. Find the perimeter of DEF
6 PAGE C Find OB if AC = 8, BC = 12, AB = x A O B 33. A triangle A) is a 3 sided polygon B) is the union of three rays C) has 4 angles D) has 4 sides 34. A regular hexagon can tessellate B) cannot tessellate C) has an interior angle of 30 D) has 7 sides 35. The two sides of a rectangle are 8 cm. and 5 cm. Find area. 36. A Triangle has a base of 4 yards and a height of 6 yards. Find area. 37. The volume of a rectangular prism with a length of 8, width is 4, and height is 5 is: 38. The volume of a Sphere with a radius of 18 is
7 PAGE The volume of a right circular cone with a radius of 3 and a height of 4 to t the nearest whole number is: 40. Surface Area of a cylinder with a radius of 3.2 cm and a height of 10.5 cm is: 41. Find the interior angle AND the number of sides: a) triangle b) quadrilateral c) pentagon d) heptagon e) hexagon f) nonagon g) decagon h) dodecagon 42. A regular polygon: A) Has all sides congruent B) Is Convex C) Neither A nor B D) Both of these 43. The circumference of a circle with a radius of 2 is: 44. The diagonals of a rhombus: A) Bisect each other B) are perpendicular C) bisect opposite angles D) All of these 45. Which term best describes XY? a) tangent b) chord c) secant d) diameter Use the diagram below for questions 46 and What is the measure of arc XY? a) 47º b) 82º c) 129º d) 176º
8 PAGE What is the measure of arc YZ? a) 47º b) 82º c) 176º d) 184º 48. Find the exact length of the arc AB. r = 10 in A B 49. An escalator is 10 feet high with a 30 0 incline. How long is the escalator? x ft 10 ft An airplane rises 500 ft vertically over a horizontal distance of 800 ft. What is the angle of elevation? x ft 800 ft 51. How far is the ladder from the bottom of the tree, if the ladder is 10 ft long? 24 0 x 52. How far is the girl from the monument 80 m high? 55 0 x
9 PAGE What is the angle of elevation? 200 ft 600 ft x What is the angle of elevation of the chair? 22 in 55. What is the height of the mountain if the angle of elevation is 47 0 and the slope is 750 ft long? 750 ft x A submarine traveled through the water 500 m. It was at that time 45 m below the surface. What was the angle of depreciation? x m 45 m
10 PAGE A ladder 20 ft long rests against a wall and makes a 65 0 angle with the ground. How far up is the top of the ladder? ladder x ABCD is a rectangle. Find x, if AD = 2x + 12 and CB = 5x 3. A B C D 59. ABCD is a rectangle. Find x, if AD = 4x + 2 and CO = x A B C D 60. ABCD is a rectangle. Find m 1 and m 6, if m 8 = ABCD is a rectangle. Find m 8 and m 6, if m 3 =
11 PAGE Use rhombus ABCD. If m DAC = Find m DCB, m ABC, and m ADB. A B D C 63) Use trapezoid ABCD. Find x, if MN = 2x + 24, AB = 3x + 2, and CD = 7x + 4. A B M N D C
A. 180 B. 108 C. 360 D. 540
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