Final Exam Version B

45 Questions | Total Attempts: 30

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Geometry Quizzes & Trivia

Geometry Semester 2 Final Exam


Questions and Answers
  • 1. 
    What is the correct factorization of the expression 8x2 - 4x3?A. 4x(2x - x2)B. 4x2(2 - x)C. 8x2(1 - 2x)D. x2(8 - 4x)E. none of the above
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

    • E. 

      E

  • 2. 
    Which is the correct factorization of the trinomial 4x2 + 6x + 9?
    • A. 

      (4x + 3)(x + 3)

    • B. 

      (4x + 9)(x + 1)

    • C. 

      (2x + 3)(2x + 3)

    • D. 

      (2x + 9)(2x + 1)

    • E. 

      (4x + 1)(x + 9)

  • 3. 
    What are the solutions to the equaiton (x + 5)(x - 2) = 0?
    • A. 

      -5 only

    • B. 

      2 only

    • C. 

      -5 and 2

    • D. 

      5 only

    • E. 

      -2 only

  • 4. 
    Two angles of a triangle have measures of 45 degrees and 50 degrees. What is the measure of the third angle?
    • A. 

      85 degrees

    • B. 

      95 degrees

    • C. 

      45 degrees

    • D. 

      50 degrees

    • E. 

      none of the above

  • 5. 
    Find the missing side of the two similar triangles below, marked x.
    • A. 

      18

    • B. 

      4

    • C. 

      3

    • D. 

      5

    • E. 

      36

  • 6. 
    What is the slope of the line 3y - 5x = 9?
    • A. 

      5/3

    • B. 

      -5/3

    • C. 

      3

    • D. 

      -3

    • E. 

      None of the above

  • 7. 
    Given that line GH is parallel to JI below, find x in degrees.
    • A. 

      120 degrees

    • B. 

      60 degrees

    • C. 

      30 degrees

    • D. 

      90 degrees

    • E. 

      180 degrees

  • 8. 
    Given the right triangle below, find the length of the hypotenuse.
    • A. 

      23

    • B. 

      7

    • C. 

      17

    • D. 

      20

    • E. 

      22

  • 9. 
    Find the length of the missing leg of the right triangle shown below.
    • A. 

      18

    • B. 

      32

    • C. 

      20

    • D. 

      22

    • E. 

      24

  • 10. 
    Use the special right triangle ratios to find the missing side of the 45-45-90 triangle shown below:
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

    • E. 

      E

  • 11. 
    Use the 30-60-90 triangle shown below to find the missing side.
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

    • E. 

      E

  • 12. 
    Find the missing side of the 30-60-90 triangle below:
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

    • E. 

      E

  • 13. 
    Use the right triangle below to find Sin(A):
    • A. 

      4/3

    • B. 

      3/5

    • C. 

      3/4

    • D. 

      4/5

    • E. 

      5/3

  • 14. 
    Use the right triangle below to find Tan(A):
    • A. 

      12/5

    • B. 

      5/12

    • C. 

      12/13

    • D. 

      5/13

    • E. 

      13/5

  • 15. 
    What is the interior angle sum of an octagon?
    • A. 

      1620 degrees

    • B. 

      1260 degrees

    • C. 

      1080 degrees

    • D. 

      900 degrees

    • E. 

      720 degrees

  • 16. 
    What is the measure of one exterior angle of a regular nonagon?
    • A. 

      30 degrees

    • B. 

      40 degrees

    • C. 

      45 degrees

    • D. 

      36 degrees

    • E. 

      20 degrees

  • 17. 
    Given parallelogram PQRS below, solve for x given the opposite sides PS and QR.
    • A. 

      3

    • B. 

      17/5

    • C. 

      15

    • D. 

      4

    • E. 

      5

  • 18. 
    Given parallelogram PQRS, find angle P.
    • A. 

      135 degrees

    • B. 

      90 degrees

    • C. 

      45 degrees

    • D. 

      22.5 degrees

    • E. 

      None of the above

  • 19. 
    Given parallelogram PQRS, find angle Q.
    • A. 

      40 degrees

    • B. 

      50 degrees

    • C. 

      100 degrees

    • D. 

      140 degrees

    • E. 

      None of the above

  • 20. 
    Given parallelogram PQRS with diagonals PR and QS drawn and meeting at point T, if PT = 8 units, find the length of PR.
    • A. 

      8

    • B. 

      4

    • C. 

      16

    • D. 

      12

    • E. 

      Cannot be determined

  • 21. 
    Given rectangle ABCD with diagonals drawn in, solve for x if AC = 4x + 2 and BD = 2x + 10.
    • A. 

      X = 4

    • B. 

      X = 6

    • C. 

      X = 8

    • D. 

      X = 10

    • E. 

      X = 12

  • 22. 
    What is the measure of angle AEB in the rhombus below?
    • A. 

      60 degrees

    • B. 

      80 degrees

    • C. 

      90 degrees

    • D. 

      100 degrees

    • E. 

      Cannot be determined

  • 23. 
    Given the rhombus below, use Pythagorean Theorem to find one of the missing side lengths.
    • A. 

      15

    • B. 

      17

    • C. 

      18

    • D. 

      13

    • E. 

      Cannot be determined

  • 24. 
    What is the area of a circle that has a radius of 8 units?
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

    • E. 

      E

  • 25. 
    What is the circumference of a circle that has a diameter of 8 units?
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

    • E. 

      E

  • 26. 
    Given the area of a trapezoid is A = 1/2(b1 + b2)h, find the area of the trapezoid shown below:
    • A. 

      36 square units

    • B. 

      72 square units

    • C. 

      90 square units

    • D. 

      88 square units

    • E. 

      56 square units

  • 27. 
    Find the area of the triangle shown below:
    • A. 

      6 square units

    • B. 

      12 square units

    • C. 

      15 square units

    • D. 

      7.5 square units

    • E. 

      17 square units

  • 28. 
    The perimeter of a square is 20 cm. What is the area of the same square?
    • A. 

      400 square cemtimeters

    • B. 

      100 square centimeters

    • C. 

      16 square centimeters

    • D. 

      25 square centimeters

    • E. 

      None of the above

  • 29. 
    • A. 

      X = 16

    • B. 

      X = 24

    • C. 

      X = 5

    • D. 

      X = 4

    • E. 

      None of the above

  • 30. 
    • A. 

      8.38

    • B. 

      33.56

    • C. 

      4.19

    • D. 

      2.10

    • E. 

      None of these

  • 31. 
    The diameter of a circular pizza is 10 inches. Find the area of the pizza to the nearest square inch.
    • A. 

      314 square inches

    • B. 

      31 square inches

    • C. 

      16 square inches

    • D. 

      8 square inches

    • E. 

      79 square inches

  • 32. 
    Find the midpoint of (4, 6) and (-2, 10).
    • A. 

      (1, 8)

    • B. 

      (-1, 8)

    • C. 

      (3, -2)

    • D. 

      (1, -2)

    • E. 

      None of the above

  • 33. 
    Find the distance between (3, 5) and (-1, 2).
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

    • E. 

      E

  • 34. 
    Find the distance between (4, 5) and (2, 9).
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

    • E. 

      E

  • 35. 
    Find the slope of the line containing points (4, 6) and (-2, 8).
    • A. 

      1/3

    • B. 

      -1/3

    • C. 

      3

    • D. 

      -3

    • E. 

      None of the above

  • 36. 
    Which of the following lines is parallel to y = 5x - 8?
    • A. 

      Y = 8x

    • B. 

      Y = -8x

    • C. 

      Y = -1/5x

    • D. 

      Y = 5x

    • E. 

      Y = 0

  • 37. 
    Which of the following is an equation of a line that is perpendicular to y = -4/5x + 1?
    • A. 

      Y = 4/5x + 3

    • B. 

      Y = -4/5x + 3

    • C. 

      Y = 5/4x + 3

    • D. 

      Y = -5/4x + 3

    • E. 

      None of the above

  • 38. 
    Which of the following is an equation of a line with a zero slope?
    • A. 

      Y = 5

    • B. 

      X = 5

    • C. 

      Y = x + 3

    • D. 

      Y = -x + 3

    • E. 

      Y = 2x - 1

  • 39. 
    What is the equation of the line with a slope of 2/3 and a y-intercept of (0, 4)?
    • A. 

      Y = 4x + 2/3

    • B. 

      Y = 2/3x + 4

    • C. 

      Y = 2/3x - 4

    • D. 

      Y = 4x - 2/3

    • E. 

      None of the above

  • 40. 
    What is the slope of the line containing points (3, 4) and (3, 8)?
    • A. 

      0

    • B. 

      Undefined

    • C. 

      4

    • D. 

      -4

    • E. 

      None of the above

  • 41. 
    What is the equation of the line passing through points (2, 6) and (1, 8)?
    • A. 

      Y = 2x + 4

    • B. 

      Y = 2x + 6

    • C. 

      Y = -2x + 10

    • D. 

      Y = -1/2x + 7

    • E. 

      Y = 1/2x + 5

  • 42. 
    What is the equation of a line that passes through points (8, 9) and (2, 6)?
    • A. 

      Y = 1/2x + 5

    • B. 

      Y = -1/2x + 13

    • C. 

      Y = 2x - 7

    • D. 

      Y = 2x + 2

    • E. 

      Y = -2x + 10

  • 43. 
    Which of the following is the equation of a line parallel to y = 3x and passing through the point (5, 1)?
    • A. 

      Y = 3x + 1

    • B. 

      Y = 3x - 14

    • C. 

      Y = 3x +14

    • D. 

      Y = -3x + 2

    • E. 

      Y = 1/3x + 5

  • 44. 
    What is the equation of a line perpendicular to y = 1/2x + 7 and passing through the point     (0, 6)?
    • A. 

      Y = 1/2x + 6

    • B. 

      Y = -1/2x + 6

    • C. 

      Y = -2x + 7

    • D. 

      Y = -2x +6

    • E. 

      Y = 2x + 6

  • 45. 
    What would be the final cost of a pair of $55 shoes including a 10% sales tax?
    • A. 

      $5.50

    • B. 

      $60.50

    • C. 

      $50.50

    • D. 

      $65.00

    • E. 

      $65.10