[
  {
    "Question": "What is the distance between the points (3, 4) and (7, 1)?",
    "Answer": "B",
    "Explanation": "To find the distance between two points (x1, y1) and (x2, y2), we use the distance formula: d = √((x2 - x1)² + (y2 - y1)²). Plugging in the values gives us d = √((7 - 3)² + (1 - 4)²) = √(16 + 9) = √25 = 5.",
    "PictureURL": "",
    "OptionA": "3",
    "OptionB": "5",
    "OptionC": "7",
    "OptionD": "10",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Distance Calculation",
    "Item": 1,
    "Type": "multiple choice",
    "Path": "geometry/distance"
  },
  {
    "Question": "What is the midpoint of the segment connecting (2, 3) and (8, 7)?",
    "Answer": "A",
    "Explanation": "The midpoint formula is M = ((x1 + x2)/2, (y1 + y2)/2). For points (2, 3) and (8, 7), M = ((2 + 8)/2, (3 + 7)/2) = (5, 5).",
    "PictureURL": "",
    "OptionA": "(5, 5)",
    "OptionB": "(6, 5)",
    "OptionC": "(4, 6)",
    "OptionD": "(7, 5)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Midpoint Calculation",
    "Item": 2,
    "Type": "multiple choice",
    "Path": "geometry/midpoint"
  },
  {
    "Question": "If the distance between points A(1, 2) and B(x, 6) is 5, what is the value of x?",
    "Answer": "C",
    "Explanation": "Using the distance formula: 5 = √((x - 1)² + (6 - 2)²). Squaring both sides gives 25 = (x - 1)² + 16. Thus, (x - 1)² = 9, leading to x - 1 = ±3. Therefore, x = 4 or x = -2. The correct answer is 4.",
    "PictureURL": "",
    "OptionA": "0",
    "OptionB": "2",
    "OptionC": "4",
    "OptionD": "-2",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Distance Problem",
    "Item": 3,
    "Type": "multiple choice",
    "Path": "geometry/distance"
  },
  {
    "Question": "What is the distance between the points (-1, -1) and (3, 3)?",
    "Answer": "A",
    "Explanation": "Using the distance formula: d = √((3 - (-1))² + (3 - (-1))²) = √((4)² + (4)²) = √(16 + 16) = √32 = 4√2.",
    "PictureURL": "",
    "OptionA": "4√2",
    "OptionB": "8",
    "OptionC": "4",
    "OptionD": "2√2",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Distance Calculation",
    "Item": 4,
    "Type": "multiple choice",
    "Path": "geometry/distance"
  },
  {
    "Question": "What is the midpoint of the points (0, 0) and (10, 10)?",
    "Answer": "B",
    "Explanation": "Using the midpoint formula: M = ((0 + 10)/2, (0 + 10)/2) = (5, 5).",
    "PictureURL": "",
    "OptionA": "(0, 0)",
    "OptionB": "(5, 5)",
    "OptionC": "(10, 10)",
    "OptionD": "(2, 2)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Midpoint Calculation",
    "Item": 5,
    "Type": "multiple choice",
    "Path": "geometry/midpoint"
  },
  {
    "Question": "If point C is at (4, 5) and point D is at (4, y), what is the distance between C and D if y = 9?",
    "Answer": "C",
    "Explanation": "The distance formula simplifies to d = |y2 - y1| since the x-coordinates are the same. Thus, d = |9 - 5| = 4.",
    "PictureURL": "",
    "OptionA": "2",
    "OptionB": "3",
    "OptionC": "4",
    "OptionD": "5",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Vertical Distance",
    "Item": 6,
    "Type": "multiple choice",
    "Path": "geometry/distance"
  },
  {
    "Question": "What is the distance between the points (1, 1) and (1, 1)?",
    "Answer": "D",
    "Explanation": "The distance between two identical points is always 0. Using the distance formula: d = √((1 - 1)² + (1 - 1)²) = √(0) = 0.",
    "PictureURL": "",
    "OptionA": "1",
    "OptionB": "2",
    "OptionC": "3",
    "OptionD": "0",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Identical Points",
    "Item": 7,
    "Type": "multiple choice",
    "Path": "geometry/distance"
  },
  {
    "Question": "What is the midpoint of the points (6, 8) and (2, 4)?",
    "Answer": "A",
    "Explanation": "Using the midpoint formula: M = ((6 + 2)/2, (8 + 4)/2) = (4, 6).",
    "PictureURL": "",
    "OptionA": "(4, 6)",
    "OptionB": "(5, 6)",
    "OptionC": "(3, 5)",
    "OptionD": "(6, 6)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Midpoint Calculation",
    "Item": 8,
    "Type": "multiple choice",
    "Path": "geometry/midpoint"
  },
  {
    "Question": "If the distance between points (x, 2) and (3, 6) is 5, what is the value of x?",
    "Answer": "B",
    "Explanation": "Using the distance formula: 5 = √((3 - x)² + (6 - 2)²). Squaring both sides gives 25 = (3 - x)² + 16. Thus, (3 - x)² = 9, leading to 3 - x = ±3. Therefore, x = 0 or x = 6.",
    "PictureURL": "",
    "OptionA": "0",
    "OptionB": "6",
    "OptionC": "3",
    "OptionD": "1",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Distance Problem",
    "Item": 9,
    "Type": "multiple choice",
    "Path": "geometry/distance"
  },
  {
    "Question": "What is the distance between the points (5, 5) and (5, 1)?",
    "Answer": "C",
    "Explanation": "Since the x-coordinates are the same, the distance is simply the difference in y-coordinates: d = |5 - 1| = 4.",
    "PictureURL": "",
    "OptionA": "2",
    "OptionB": "3",
    "OptionC": "4",
    "OptionD": "5",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Vertical Distance",
    "Item": 10,
    "Type": "multiple choice",
    "Path": "geometry/distance"
  },
  {
    "Question": "What is the midpoint of the points (1, 2) and (3, 4)?",
    "Answer": "D",
    "Explanation": "Using the midpoint formula: M = ((1 + 3)/2, (2 + 4)/2) = (2, 3).",
    "PictureURL": "",
    "OptionA": "(1, 2)",
    "OptionB": "(3, 4)",
    "OptionC": "(2, 2)",
    "OptionD": "(2, 3)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Midpoint Calculation",
    "Item": 11,
    "Type": "multiple choice",
    "Path": "geometry/midpoint"
  },
  {
    "Question": "If the distance between points (x, 0) and (0, 4) is 4, what is the value of x?",
    "Answer": "A",
    "Explanation": "Using the distance formula: 4 = √((0 - x)² + (4 - 0)²). Squaring both sides gives 16 = x² + 16. Thus, x² = 0, leading to x = 0.",
    "PictureURL": "",
    "OptionA": "0",
    "OptionB": "4",
    "OptionC": "2",
    "OptionD": "1",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Distance Problem",
    "Item": 12,
    "Type": "multiple choice",
    "Path": "geometry/distance"
  },
  {
    "Question": "What is the distance between the points (-3, -4) and (1, 2)?",
    "Answer": "B",
    "Explanation": "Using the distance formula: d = √((1 - (-3))² + (2 - (-4))²) = √((4)² + (6)²) = √(16 + 36) = √52 = 2√13.",
    "PictureURL": "",
    "OptionA": "6",
    "OptionB": "2√13",
    "OptionC": "8",
    "OptionD": "4",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Distance Calculation",
    "Item": 13,
    "Type": "multiple choice",
    "Path": "geometry/distance"
  },
  {
    "Question": "What is the midpoint of the points (7, 8) and (1, 2)?",
    "Answer": "C",
    "Explanation": "Using the midpoint formula: M = ((7 + 1)/2, (8 + 2)/2) = (4, 5).",
    "PictureURL": "",
    "OptionA": "(3, 5)",
    "OptionB": "(5, 5)",
    "OptionC": "(4, 5)",
    "OptionD": "(6, 5)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Midpoint Calculation",
    "Item": 14,
    "Type": "multiple choice",
    "Path": "geometry/midpoint"
  },
  {
    "Question": "If the distance between points (2, 3) and (x, 7) is 5, what is the value of x?",
    "Answer": "D",
    "Explanation": "Using the distance formula: 5 = √((x - 2)² + (7 - 3)²). Squaring both sides gives 25 = (x - 2)² + 16. Thus, (x - 2)² = 9, leading to x - 2 = ±3. Therefore, x = 5 or x = -1.",
    "PictureURL": "",
    "OptionA": "1",
    "OptionB": "3",
    "OptionC": "4",
    "OptionD": "5",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Distance Problem",
    "Item": 15,
    "Type": "multiple choice",
    "Path": "geometry/distance"
  }
]