- 1. A complement of angle X measures 370. What is the measure of a supplement of angle X?
A) 37 0
B) 143 0
C) 53 0
D) 130 0
E) 127 0
- 2. Parallelogram DEFG has a base of 12 centimeters and a height of 5 centimeters. What is the area of parallelogram DEFG?
A) 7cm2
B) 60cm3
C) 60cm2
D) 34cm2
E) 120cm2
- 3. If WXYZ is a parallelogram, which of the following statements is never true.
A) Pairs of opposite sides are parallel.
B) Pairs of opposite sides are congruent.
C) The diagonals of WXYZ bisect each other.
D) The consecutive angles of WXYZ are complementary.
- 4. A right triangle has legs 5 meters and 12 meters long. What is the length of the hypotenuse?
A) 12m
B) 14m
C) 13m
D) 15m
E) 16m
- 5. To the nearest tenth of a centimeter, what is the circumference of a circle with a diameter of 15 centimeters?
A) 22.1cm
B) 94.1cm
C) 47.1cm
D) 71.7cm
E) 23.6cm
- 6. Two sides of a triangle measure 3 feet and 6 feet. Which of the following could not represent the length of the third side?
A) 9ft
B) 7ft
C) 3ft
D) 4ft
E) 8ft
- 7. Lines m and n lie in the same plane. The slope of line m is -5/3 and the slope of line n is 3/5. How are lines m and n related?
A) Lines m and n intersect but are not perpendicular.
B) Lines m and n are perpendicular.
C) Lines m and n are parallel.
D) Lines m and n coincide.
- 8. One vertex of a square whose sides are 9 units long has a vertex at (3, 3). Which of the points below could be another vertex of the square?
A) (-3,3)
B) (3, 3)
C) (9,0)
D) (3,-6)
E) (3, 6)
- 9. The lengths of the sides of triangle ABC are 4, 5, and 6. Which set of numbers gives the lengths of the sides of a triangle similar to triangle ABC?
A) (9,10,12)
B) (7,8,10)
C) (10,20,31)
D) (2,5,6)
E) (6,7,8)
- 10. You receive two standard postcards from your friend while she is on summer vacation. The first postcard is 5 inches long and 3.5 inches high. The second postcard is 6 inches long and 4.25 inches high. Which of the following statements is true?
A) The postcards are similar rectangles
B) The postcards would be similar rectangles if the first postcard were 4.9 inches long.
C) The postcards are congruent rectangles.
D) The postcards would be similar if the height of the second postcard were 4.2 inches.
E) The postcards are congruent squares.
- 11. If a tangent and a chord intersect at a point on a circle, what do you know must be true about the measures of the two angles that are formed?
A) Their measures equal the measures of their intercepted arcs.
B) Their measures are one half the measures of their vertical angles.
C) They are supplementary.
D) They each measure one half the difference of the measures of their intercepted arcs.
- 12. The measure of each interior angle of a regular polygon is 135 0. How many sides does the polygon have?
A) 4
B) 9
C) 15
D) 12
E) 8
- 13. The measure of each interior angle of a regular polygon is 120 0. How many sides does the polygon have?
A) 8
B) 9
C) 7
D) 4
E) 6
- 14. If two angles are complementary, then the sum of their measures is 90 0.
A) False
B) True
- 15. The measure of Supplementary angles is 180 0.
A) True
B) False
- 16. The right triangles have exactly one angle that its measure is 90 0.
A) True
B) False
- 17. An Isosceles triangle has exactly two angles that their measures add to 90 0.
A) False
B) True
- 18. The parallel lines never intersect.
A) False
B) True
- 19. Perpendicular lines form angles that measure 180 0.
A) True
B) False
- 20. Point, line, and plane are the three undefined terms in Geometry.
A) True
B) False
- 21. A _________ is the most basic building block of geometry.
A) Segment
B) Circle
C) Kite
D) Point
E) Square
- 22. A __________ is a straight, continuous arrangement of infinitely many points.
A) Line
B) Segment
C) Sphere
D) Chord
E) Ray
- 23. A _________ has length and width, but no thickness.
A) Rectangle
B) Square
C) Plane
D) Line
- 24. _________ means on the same line.
A) Collinear
B) Segment
C) Line
D) Coplanar
- 25. ___________ means on the same plane.
A) Plane
B) Square
C) Coplanar
D) Sphere
E) Rectangle
- 26. A ________ begins at a point and extends infinitely in one direction.
A) Ray
B) Segment
C) Line
D) Plane
E) Diagonal
- 27. An _________ is formed by two rays that share a common endpoint.
A) Line
B) Angle
C) Ray
D) Segment
E) Diagonal
- 28. A design for a garden has the shape of a regular octagon. The design is 32 centimeters on a side and apothem 39 cm. What are the perimeter and the area of the design? -Solve the problem and explain in complete sentence the way that you found the solution.
- 29. A square has an area of one hundred square centimeters. What is the length of each of its sides? A = 4a 100 = 4a 100/4 = 4a/4 25 = a The length of each of the side is 25. -Alex solve this problem, but when he show all work to his teacher, she said that he have a mistake. Write in complete sentence to try to explain Alex where he make a mistake.
- 30. Now is your time to show you creativity. Part 1. Create you own word problem about one thing that you was learned in Geometry. Part 2. After you created your problem, then provide the solution.
- 31. Kelvin is at his house located at (3,4) on a coordinate plane and walks to the store located at (1,0). The store is located exactly half of way between Kelvin's house and Mitch's house. What is the distance between Kelvins house and Mitch's House?
A) 4.2
B) 5.7
C) 4.5
D) 8.9
- 32. In the figure below, lines k, m, and n are parallel.
A) 180
B) 200
C) 80
D) 100
- 33. What regular polygon has an exterior angle that measures 60 degrees?
A) Equilateral triangle
B) Regular pentagon
C) Regular hexagon
D) Square
- 34. A solid-glass sphere is cast with a radius of 30cm. What is the volume, to the nearest whole number, of this sphere?
A) 63,585 cm3
B) 3,768 cm3
C) 113,040cm3
D) 339,120 cm3
- 35. A rope is tied to the bottom of a hot air balloon as shown below. The rope makes an angle of 35 with the ground and is 75 ft long. How far is the bottom of the balloon from the ground to the nearest foot?
A) 43 ft
B) 61 ft
C) 131 ft
D) 53 ft
- 36. Below is a drawing of Jeff’s yard. There is a circular fish pond near one corner. The diameter of the pond is 12 ft. How many square feet of grass are necessary to cover everything except the pond in Jeff’s yard?
A) 5,548 ft2
B) 4,987 ft2
C) 5,887 ft2
D) 4,648 ft2
- 37. The diameter of a tractor tire is 5 feet. Rounded to the nearest hundredth, how far will the tractor move when the wheel rotates once?
A) 15.70 ft.
B) 19.63 ft
C) 78.50 ft
D) 7.85 ft
- 38. What is the measure of <E in the parallelogram below?
A) 55
B) 145
C) 155
D) 35
- 39. Figure ABCD below is a quadrilateral. What is the value of x?
A) 45
B) 35
C) 40
D) 15
- 40. Which theorem can be used to show that the two triangles below are congruent?
A) SAS
B) ASA
C) AAA
D) SSS
- 41. Cylinders A and B have the same height. The radius of cylinder A is twice the radius of cylinder B.
A) Cylinder A has twice the volume of cylinder B.
B) Cylinder A has 4 times the volume of cylinder B.
C) Cylinder A has 8 times the volume of cylinder B.
D) Cylinder A has 1/2 the volume of cylinder B.
- 42. Triangle JKL is translated 4 units left and 5 units up. What are the coordinates of the image of point J?
A) (-2,6)
B) (-6,6)
C) (2,6)
D) (3,-3)
- 43. A scale drawing of the side of a house is shown below. What is the best estimate of the area of the side of the house?
A) 1,250 ft2
B) 1,000 ft2
C) 700 ft2
D) 850 ft2
- 44. A cereal box is 10.4 inches high, 7.4 inches long, and 2.3 inches wide. What is the volume of the cereal box rounded to the nearest cubic inch?
A) 177
B) 236
C) 159
D) 77
- 45. A company is planning to sell juice in boxes represented by the figure shown below. What is the total surface area of the box?
A) 330 cm2
B) 430 cm2
C) 550 cm2
D) 430 cm2
- 46. The net in the figure below can be folded into which of the following three-dimensional solids?
A) triangular pyramid
B) triangle prism
C) square pyramid
D) rectangular prism
- 47. The measure of each exterior angle of a regular polygon is 45 . How many sides does the polygon have?
A) 8
B) 9
C) 5
D) 4
- 48. In the figure below, k || m.
A) y = 120
B) y = 15
C) y = 115
D) y = 70
- 49. The owners of Neatly Packaged Company make a cylindrical container that has the dimensions shown below
A) 131.95 in2
B) 263.89 in2
C) 115.45 in2
D) 151.19 in2
- 50. How many vertices does the polyhedron below have.
A) 8
B) 5
C) 3
D) 6
- 51. If triangle ABC is rotated 180 degrees about the origin, what are the coordinates of A′?
A) (-4,-5)
B) (-5,-4)
C) (-5,4)
D) (-4,5)
- 52. A sector of a circle is created from a central angle with a measure of 60 . If the diameter of the circle is 6 inches, what is the area of the sector?
A) 25.12 in2
B) 4.71 in2
C) 18.85 in2
D) 6.28 in2
- 53. A right triangular pyramid has a height of 10 inches and a base area of 41.57 square inches. What is the volume, in cubic inches, of the pyramid?
A) 207.85
B) 277.13
C) 415.69
D) 138.56
- 54. How many faces, edges, and vertices does a square pyramid have?
A) 4 faces, 6 edges, and 4 vertices
B) 6 faces, 12 edges, and 8 vertices
C) 5 faces, 8 edges, and 5 vertices
D) 5 faces, 6 edges, and 6 vertices
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