{
  "title": "Properties of Parallel Lines - Grade 7 ICSE",
  "total_questions": 60,
  "questions": [
    {
      "id": 1,
      "difficulty": "easy",
      "question": "When a transversal crosses two parallel lines, corresponding angles are: 📐",
      "options": {
        "A": "Supplementary",
        "B": "Complementary",
        "C": "Equal",
        "D": "Right angles"
      },
      "correct_answer": "C"
    },
    {
      "id": 2,
      "difficulty": "easy",
      "question": "Alternate interior angles are: 🔄",
      "options": {
        "A": "Equal",
        "B": "Supplementary",
        "C": "Complementary",
        "D": "Right angles"
      },
      "correct_answer": "A"
    },
    {
      "id": 3,
      "difficulty": "easy",
      "question": "If two lines are parallel, they never: 🚫",
      "options": {
        "A": "Intersect",
        "B": "Have angles",
        "C": "Have length",
        "D": "Form triangles"
      },
      "correct_answer": "A"
    },
    {
      "id": 4,
      "difficulty": "easy",
      "question": "The symbol for parallel lines is: ↔️",
      "options": { "A": "⊥", "B": "∥", "C": "∠", "D": "≅" },
      "correct_answer": "B"
    },
    {
      "id": 5,
      "difficulty": "easy",
      "question": "Consecutive interior angles (co-interior) are: ➕",
      "options": {
        "A": "Equal",
        "B": "Supplementary",
        "C": "Complementary",
        "D": "Right angles"
      },
      "correct_answer": "B"
    },
    {
      "id": 6,
      "difficulty": "easy",
      "question": "If a transversal is perpendicular to one parallel line, it is ______ to the other. ⬜",
      "options": {
        "A": "Parallel",
        "B": "Also perpendicular",
        "C": "Oblique",
        "D": "Intersecting"
      },
      "correct_answer": "B"
    },
    {
      "id": 7,
      "difficulty": "easy",
      "question": "In the diagram, if l ∥ m and ∠1 = 70°, then ∠2 (corresponding) = ? 📏",
      "options": { "A": "20°", "B": "70°", "C": "110°", "D": "290°" },
      "correct_answer": "B"
    },
    {
      "id": 8,
      "difficulty": "easy",
      "question": "Alternate exterior angles are: 🌐",
      "options": {
        "A": "Equal",
        "B": "Supplementary",
        "C": "Complementary",
        "D": "Right angles"
      },
      "correct_answer": "A"
    },
    {
      "id": 9,
      "difficulty": "easy",
      "question": "If two lines are cut by a transversal and corresponding angles are equal, the lines are: ✅",
      "options": {
        "A": "Parallel",
        "B": "Perpendicular",
        "C": "Intersecting",
        "D": "Skew"
      },
      "correct_answer": "A"
    },
    {
      "id": 10,
      "difficulty": "easy",
      "question": "The sum of co-interior angles is: 🔢",
      "options": { "A": "90°", "B": "180°", "C": "270°", "D": "360°" },
      "correct_answer": "B"
    },
    {
      "id": 11,
      "difficulty": "easy",
      "question": "In the figure, if l ∥ m and ∠3 = 110°, then ∠6 (alternate interior) = ? 🧩",
      "options": { "A": "70°", "B": "110°", "C": "80°", "D": "100°" },
      "correct_answer": "B"
    },
    {
      "id": 12,
      "difficulty": "easy",
      "question": "If a line is parallel to itself, this property is called: 🔄",
      "options": {
        "A": "Reflexive",
        "B": "Symmetric",
        "C": "Transitive",
        "D": "Commutative"
      },
      "correct_answer": "A"
    },
    {
      "id": 13,
      "difficulty": "easy",
      "question": "Vertical angles formed by intersecting lines are always: ⚡",
      "options": {
        "A": "Equal",
        "B": "Supplementary",
        "C": "Complementary",
        "D": "Right angles"
      },
      "correct_answer": "A"
    },
    {
      "id": 14,
      "difficulty": "easy",
      "question": "If two parallel lines are cut by a transversal, how many angles are formed? 🔢",
      "options": { "A": "4", "B": "6", "C": "8", "D": "12" },
      "correct_answer": "C"
    },
    {
      "id": 15,
      "difficulty": "easy",
      "question": "In the figure, if AB ∥ CD and ∠1 = 50°, then ∠8 (corresponding) = ? 📐",
      "options": { "A": "50°", "B": "130°", "C": "40°", "D": "140°" },
      "correct_answer": "A"
    },
    {
      "id": 16,
      "difficulty": "easy",
      "question": "Which angles are NOT equal when lines are parallel? 🚫",
      "options": {
        "A": "Corresponding angles",
        "B": "Alternate interior angles",
        "C": "Co-interior angles",
        "D": "Alternate exterior angles"
      },
      "correct_answer": "C"
    },
    {
      "id": 17,
      "difficulty": "easy",
      "question": "If l ∥ m and m ∥ n, then l ∥ n. This is ______ property. 🔗",
      "options": {
        "A": "Reflexive",
        "B": "Symmetric",
        "C": "Transitive",
        "D": "Commutative"
      },
      "correct_answer": "C"
    },
    {
      "id": 18,
      "difficulty": "easy",
      "question": "In the figure, if ∠2 and ∠3 are co-interior, and ∠2 = 70°, then ∠3 = ? ➕",
      "options": { "A": "70°", "B": "110°", "C": "20°", "D": "160°" },
      "correct_answer": "B"
    },
    {
      "id": 19,
      "difficulty": "easy",
      "question": "If a transversal intersects two lines such that alternate interior angles are equal, then lines are: ✅",
      "options": {
        "A": "Parallel",
        "B": "Perpendicular",
        "C": "Intersecting",
        "D": "Coincident"
      },
      "correct_answer": "A"
    },
    {
      "id": 20,
      "difficulty": "easy",
      "question": "Railway tracks are real-life examples of: 🛤️",
      "options": {
        "A": "Perpendicular lines",
        "B": "Parallel lines",
        "C": "Intersecting lines",
        "D": "Curved lines"
      },
      "correct_answer": "B"
    },
    {
      "id": 21,
      "difficulty": "medium",
      "question": "In the figure, if l ∥ m and transversal t makes ∠1 = (2x+20)° and ∠5 = (3x-10)° (corresponding), find x. 🔍",
      "options": { "A": "10", "B": "20", "C": "30", "D": "40" },
      "correct_answer": "C"
    },
    {
      "id": 22,
      "difficulty": "medium",
      "question": "If two parallel lines are cut by a transversal, each pair of alternate exterior angles are: 🌐",
      "options": {
        "A": "Supplementary",
        "B": "Complementary",
        "C": "Equal",
        "D": "Right angles"
      },
      "correct_answer": "C"
    },
    {
      "id": 23,
      "difficulty": "medium",
      "question": "In the figure, AB ∥ CD and EF is transversal. If ∠2 = 65°, find ∠7 (alternate exterior). 📏",
      "options": { "A": "65°", "B": "115°", "C": "25°", "D": "295°" },
      "correct_answer": "A"
    },
    {
      "id": 24,
      "difficulty": "medium",
      "question": "If a line is parallel to one of two parallel lines, it is parallel to the other. This uses ______ property. 🔗",
      "options": {
        "A": "Reflexive",
        "B": "Symmetric",
        "C": "Transitive",
        "D": "Commutative"
      },
      "correct_answer": "C"
    },
    {
      "id": 25,
      "difficulty": "medium",
      "question": "In the figure, if l ∥ m and ∠1:∠2 = 3:2, find ∠3 (corresponding to ∠1). 🧮",
      "options": { "A": "72°", "B": "108°", "C": "120°", "D": "144°" },
      "correct_answer": "B"
    },
    {
      "id": 26,
      "difficulty": "medium",
      "question": "If two lines are parallel to the same line, they are ______ to each other. ↔️",
      "options": {
        "A": "Perpendicular",
        "B": "Parallel",
        "C": "Intersecting",
        "D": "Skew"
      },
      "correct_answer": "B"
    },
    {
      "id": 27,
      "difficulty": "medium",
      "question": "In the figure, if AB ∥ CD and ∠BEF = 40°, ∠EFD = 60°, find ∠BEF + ∠EFD. ➕",
      "options": { "A": "80°", "B": "90°", "C": "100°", "D": "110°" },
      "correct_answer": "C"
    },
    {
      "id": 28,
      "difficulty": "medium",
      "question": "If a transversal intersects two parallel lines, then each pair of interior angles on same side is ______. 📍",
      "options": {
        "A": "Equal",
        "B": "Supplementary",
        "C": "Complementary",
        "D": "Right angles"
      },
      "correct_answer": "B"
    },
    {
      "id": 29,
      "difficulty": "medium",
      "question": "In the figure, l ∥ m and p ∥ q. If ∠1 = 75°, find ∠4. 🧩",
      "options": { "A": "75°", "B": "105°", "C": "15°", "D": "165°" },
      "correct_answer": "B"
    },
    {
      "id": 30,
      "difficulty": "medium",
      "question": "If two parallel lines are cut by a transversal, the bisectors of interior angles form a ______. ✂️",
      "options": {
        "A": "Square",
        "B": "Rectangle",
        "C": "Rhombus",
        "D": "Trapezium"
      },
      "correct_answer": "B"
    },
    {
      "id": 31,
      "difficulty": "medium",
      "question": "In the figure, AB ∥ CD and EF ∥ GH. If ∠1 = 50°, find ∠2. 🔄",
      "options": { "A": "50°", "B": "130°", "C": "40°", "D": "140°" },
      "correct_answer": "A"
    },
    {
      "id": 32,
      "difficulty": "medium",
      "question": "The measure of an angle is 30° more than its corresponding angle. Are the lines parallel? 🤔",
      "options": {
        "A": "Yes",
        "B": "No",
        "C": "Cannot say",
        "D": "Only if transversal is perpendicular"
      },
      "correct_answer": "B"
    },
    {
      "id": 33,
      "difficulty": "medium",
      "question": "If a line is perpendicular to one of two parallel lines, it is ______ to the other. ⬜",
      "options": {
        "A": "Parallel",
        "B": "Also perpendicular",
        "C": "Oblique",
        "D": "Intersecting"
      },
      "correct_answer": "B"
    },
    {
      "id": 34,
      "difficulty": "medium",
      "question": "In the figure, if l ∥ m and ∠1 = 110°, find the sum of ∠3 + ∠5. 🔢",
      "options": { "A": "110°", "B": "180°", "C": "220°", "D": "360°" },
      "correct_answer": "C"
    },
    {
      "id": 35,
      "difficulty": "medium",
      "question": "Two lines parallel to the same line are parallel to each other. This is ______ axiom. 📚",
      "options": {
        "A": "Playfair's",
        "B": "Euclid's 5th",
        "C": "Euclid's 1st",
        "D": "Parallel postulate"
      },
      "correct_answer": "B"
    },
    {
      "id": 36,
      "difficulty": "medium",
      "question": "In the figure, AB ∥ CD and transversal EF cuts them. If ∠AEF = 70°, find ∠DFE (co-interior). 📐",
      "options": { "A": "70°", "B": "110°", "C": "20°", "D": "160°" },
      "correct_answer": "B"
    },
    {
      "id": 37,
      "difficulty": "medium",
      "question": "If two lines are cut by a transversal and co-interior angles are supplementary, then lines are: ✅",
      "options": {
        "A": "Parallel",
        "B": "Perpendicular",
        "C": "Intersecting",
        "D": "Coincident"
      },
      "correct_answer": "A"
    },
    {
      "id": 38,
      "difficulty": "medium",
      "question": "In the figure, if l ∥ m and ∠1 = 55°, ∠2 = 125°, is line p parallel to l? 🎯",
      "options": {
        "A": "Yes",
        "B": "No",
        "C": "Cannot say",
        "D": "Only if ∠3 = 55°"
      },
      "correct_answer": "A"
    },
    {
      "id": 39,
      "difficulty": "medium",
      "question": "The distance between two parallel lines is: 📏",
      "options": {
        "A": "Zero",
        "B": "Always equal",
        "C": "Increasing",
        "D": "Different at different points"
      },
      "correct_answer": "B"
    },
    {
      "id": 40,
      "difficulty": "medium",
      "question": "In the figure, three parallel lines are cut by two transversals. If a = 40° and b = 80°, find c. 🧠",
      "options": { "A": "40°", "B": "60°", "C": "80°", "D": "100°" },
      "correct_answer": "B"
    },
    {
      "id": 41,
      "difficulty": "hard",
      "question": "In the figure, AB ∥ CD ∥ EF. If ∠ABC = 65°, ∠CEF = 40°, find ∠BCE. 🔥",
      "options": { "A": "75°", "B": "105°", "C": "115°", "D": "135°" },
      "correct_answer": "B"
    },
    {
      "id": 42,
      "difficulty": "hard",
      "question": "If the bisectors of a pair of co-interior angles are perpendicular, then the lines are: ⚡",
      "options": {
        "A": "Parallel",
        "B": "Perpendicular",
        "C": "Intersecting at 45°",
        "D": "Cannot determine"
      },
      "correct_answer": "A"
    },
    {
      "id": 43,
      "difficulty": "hard",
      "question": "In the figure, l ∥ m and p ∥ q. If ∠1 = 30°, ∠2 = 50°, find ∠3. 🎲",
      "options": { "A": "30°", "B": "50°", "C": "80°", "D": "100°" },
      "correct_answer": "D"
    },
    {
      "id": 44,
      "difficulty": "hard",
      "question": "If a transversal intersects two lines such that the sum of interior angles on same side is 180°, then lines are: ✅",
      "options": {
        "A": "Parallel",
        "B": "Perpendicular",
        "C": "Intersecting",
        "D": "Coincident"
      },
      "correct_answer": "A"
    },
    {
      "id": 45,
      "difficulty": "hard",
      "question": "In the figure, AB ∥ CD and EF is transversal. If ∠AEF = (2x+30)° and ∠EFD = (3x-10)° (co-interior), find x. 🔍",
      "options": { "A": "20", "B": "30", "C": "32", "D": "40" },
      "correct_answer": "C"
    },
    {
      "id": 46,
      "difficulty": "hard",
      "question": "If two lines are parallel, the perpendicular distance between them is: 📏",
      "options": {
        "A": "Zero",
        "B": "Constant",
        "C": "Increasing",
        "D": "Different everywhere"
      },
      "correct_answer": "B"
    },
    {
      "id": 47,
      "difficulty": "hard",
      "question": "In the figure, if l ∥ m and transversal t makes angles with ratio 2:3:2:3, find the smallest angle. 📊",
      "options": { "A": "36°", "B": "54°", "C": "72°", "D": "108°" },
      "correct_answer": "C"
    },
    {
      "id": 48,
      "difficulty": "hard",
      "question": "If a line is parallel to one of two intersecting lines, it will intersect the other. True or False? 🤔",
      "options": {
        "A": "True",
        "B": "False",
        "C": "Sometimes true",
        "D": "Cannot say"
      },
      "correct_answer": "A"
    },
    {
      "id": 49,
      "difficulty": "hard",
      "question": "In the figure, AB ∥ CD and EF ∥ GH. If ∠1 = 70°, ∠2 = 110°, find ∠3. 🔄",
      "options": { "A": "70°", "B": "110°", "C": "40°", "D": "140°" },
      "correct_answer": "B"
    },
    {
      "id": 50,
      "difficulty": "hard",
      "question": "The sum of interior angles on same side of transversal when lines are parallel is: ➕",
      "options": { "A": "90°", "B": "180°", "C": "270°", "D": "360°" },
      "correct_answer": "B"
    },
    {
      "id": 51,
      "difficulty": "hard",
      "question": "If the bisectors of two corresponding angles are parallel, then the original lines are: ✂️",
      "options": {
        "A": "Parallel",
        "B": "Perpendicular",
        "C": "Intersecting",
        "D": "Coincident"
      },
      "correct_answer": "A"
    },
    {
      "id": 52,
      "difficulty": "hard",
      "question": "In the figure, three parallel lines l, m, n are cut by transversals p and q. If ∠a = 50°, ∠b = 70°, find ∠c. 🧩",
      "options": { "A": "50°", "B": "60°", "C": "70°", "D": "80°" },
      "correct_answer": "B"
    },
    {
      "id": 53,
      "difficulty": "hard",
      "question": "If two lines are parallel, alternate exterior angles are: 🌐",
      "options": {
        "A": "Supplementary",
        "B": "Complementary",
        "C": "Equal",
        "D": "Right angles"
      },
      "correct_answer": "C"
    },
    {
      "id": 54,
      "difficulty": "hard",
      "question": "In the figure, AB ∥ CD and BC ∥ DE. If ∠ABC = 65°, find ∠CDE. 🔺",
      "options": {
        "A": "65°",
        "B": "115°",
        "C": "25°",
        "D": "295°"
      },
      "correct_answer": "A"
    },
    {
      "id": 55,
      "difficulty": "hard",
      "question": "If a transversal is perpendicular to two lines, then the two lines are: ⬜",
      "options": {
        "A": "Parallel",
        "B": "Perpendicular",
        "C": "Intersecting",
        "D": "Skew"
      },
      "correct_answer": "A"
    },
    {
      "id": 56,
      "difficulty": "hard",
      "question": "In the figure, l ∥ m and p is transversal. If ∠1 = (5x-20)° and ∠8 = (3x+40)° (alternate exterior), find x. 🧮",
      "options": { "A": "10", "B": "20", "C": "30", "D": "40" },
      "correct_answer": "C"
    },
    {
      "id": 57,
      "difficulty": "hard",
      "question": "If two lines are parallel to the same line, they are parallel to each other. This uses ______ property. 🔗",
      "options": {
        "A": "Reflexive",
        "B": "Symmetric",
        "C": "Transitive",
        "D": "Commutative"
      },
      "correct_answer": "C"
    },
    {
      "id": 58,
      "difficulty": "hard",
      "question": "In the figure, if AB ∥ CD and EF ∥ CD, then: 📏",
      "options": {
        "A": "AB ∥ EF",
        "B": "AB ⊥ EF",
        "C": "AB intersects EF",
        "D": "Cannot say"
      },
      "correct_answer": "A"
    },
    {
      "id": 59,
      "difficulty": "hard",
      "question": "If a line intersects one of two parallel lines, it must intersect the other. True or False? ⚠️",
      "options": {
        "A": "True",
        "B": "False",
        "C": "Sometimes true",
        "D": "Only if not parallel"
      },
      "correct_answer": "A"
    },
    {
      "id": 60,
      "difficulty": "hard",
      "question": "In the figure, l ∥ m and transversal p makes angles with l as 40° and 140°. The sum of all eight angles formed is: 🔢",
      "options": { "A": "360°", "B": "720°", "C": "1080°", "D": "1440°" },
      "correct_answer": "B"
    }
  ]
}