{
  "title": "Construction of Triangles (Geometry) - Grade 6 ICSE",
  "total_questions": 60,
  "questions": [
    {
      "id": 1,
      "difficulty": "easy",
      "question": "🔺 To construct a triangle, you need at least _____ measurements.",
      "options": { "A": "1", "B": "2", "C": "3", "D": "4" },
      "correct_answer": "C"
    },
    {
      "id": 2,
      "difficulty": "easy",
      "question": "📏 Which tool is used to draw arcs in triangle construction? 🧰",
      "options": {
        "A": "Ruler",
        "B": "Compass",
        "C": "Protractor",
        "D": "Set square"
      },
      "correct_answer": "B"
    },
    {
      "id": 3,
      "difficulty": "easy",
      "question": "🎯 A triangle can be constructed if we know its three _____.",
      "options": {
        "A": "Angles",
        "B": "Sides",
        "C": "Vertices",
        "D": "Heights"
      },
      "correct_answer": "B"
    },
    {
      "id": 4,
      "difficulty": "easy",
      "question": "📐 Which triangle can be drawn if we know two sides and the included angle?",
      "options": { "A": "SSS", "B": "SAS", "C": "AAA", "D": "ASA" },
      "correct_answer": "B"
    },
    {
      "id": 5,
      "difficulty": "easy",
      "question": "🔺 The SSS criterion means we know all three _____.",
      "options": {
        "A": "Angles",
        "B": "Sides",
        "C": "Heights",
        "D": "Medians"
      },
      "correct_answer": "B"
    },
    {
      "id": 6,
      "difficulty": "easy",
      "question": "📏 Which triangle cannot be constructed? ❌",
      "options": {
        "A": "Triangle with sides 3cm, 4cm, 5cm",
        "B": "Triangle with sides 2cm, 3cm, 6cm",
        "C": "Triangle with sides 5cm, 5cm, 5cm",
        "D": "Triangle with sides 7cm, 8cm, 9cm"
      },
      "correct_answer": "B"
    },
    {
      "id": 7,
      "difficulty": "easy",
      "question": "🎯 To construct a triangle with sides 4cm, 5cm, 6cm, we use _____ criterion.",
      "options": { "A": "AAA", "B": "SSS", "C": "ASA", "D": "RHS" },
      "correct_answer": "B"
    },
    {
      "id": 8,
      "difficulty": "easy",
      "question": "📐 A triangle can be uniquely constructed if we know two angles and the included _____.",
      "options": { "A": "Side", "B": "Height", "C": "Angle", "D": "Diagonal" },
      "correct_answer": "A"
    },
    {
      "id": 9,
      "difficulty": "easy",
      "question": "🔺 Which criterion is used for right triangles when hypotenuse and one side are known?",
      "options": { "A": "SSS", "B": "SAS", "C": "ASA", "D": "RHS" },
      "correct_answer": "D"
    },
    {
      "id": 10,
      "difficulty": "easy",
      "question": "📏 If we know two sides and a non-included angle, triangle construction is _____.",
      "options": {
        "A": "Always possible",
        "B": "Never possible",
        "C": "Sometimes possible",
        "D": "Unique"
      },
      "correct_answer": "C"
    },
    {
      "id": 11,
      "difficulty": "easy",
      "question": "🎯 Which triangles can be constructed with AAA criterion? 🤔",
      "options": {
        "A": "Unique triangle",
        "B": "No unique triangle",
        "C": "Two triangles",
        "D": "Many triangles"
      },
      "correct_answer": "D"
    },
    {
      "id": 12,
      "difficulty": "easy",
      "question": "📐 A triangle with sides 5cm, 5cm, 8cm is _____.",
      "options": {
        "A": "Equilateral",
        "B": "Isosceles",
        "C": "Scalene",
        "D": "Right"
      },
      "correct_answer": "B"
    },
    {
      "id": 13,
      "difficulty": "easy",
      "question": "🔺 To draw a triangle with sides 7cm, 8cm, 9cm, first we draw a line segment of length _____.",
      "options": { "A": "7cm", "B": "8cm", "C": "9cm", "D": "Any one" },
      "correct_answer": "D"
    },
    {
      "id": 14,
      "difficulty": "easy",
      "question": "📏 In SAS construction, 'A' stands for _____.",
      "options": { "A": "Angle", "B": "Area", "C": "Arc", "D": "Axis" },
      "correct_answer": "A"
    },
    {
      "id": 15,
      "difficulty": "easy",
      "question": "🎯 How many triangles can be drawn if three angles are given? 📐",
      "options": { "A": "0", "B": "1", "C": "2", "D": "Infinite" },
      "correct_answer": "D"
    },
    {
      "id": 16,
      "difficulty": "easy",
      "question": "📐 In ASA, the side is _____ the two angles.",
      "options": {
        "A": "Opposite to",
        "B": "Between",
        "C": "Adjacent to",
        "D": "Parallel to"
      },
      "correct_answer": "B"
    },
    {
      "id": 17,
      "difficulty": "easy",
      "question": "🔺 RHS criterion applies only to _____ triangles.",
      "options": {
        "A": "Equilateral",
        "B": "Isosceles",
        "C": "Right",
        "D": "Scalene"
      },
      "correct_answer": "C"
    },
    {
      "id": 18,
      "difficulty": "easy",
      "question": "📏 For a triangle to exist, the sum of any two sides must be _____ the third side.",
      "options": {
        "A": "Less than",
        "B": "Equal to",
        "C": "Greater than",
        "D": "Half of"
      },
      "correct_answer": "C"
    },
    {
      "id": 19,
      "difficulty": "easy",
      "question": "🎯 Which sides can form a triangle? 🔺",
      "options": {
        "A": "2cm, 3cm, 6cm",
        "B": "3cm, 4cm, 5cm",
        "C": "1cm, 2cm, 4cm",
        "D": "5cm, 10cm, 20cm"
      },
      "correct_answer": "B"
    },
    {
      "id": 20,
      "difficulty": "easy",
      "question": "📐 First step in constructing a triangle is usually to draw a _____.",
      "options": {
        "A": "Circle",
        "B": "Line segment",
        "C": "Angle",
        "D": "Arc"
      },
      "correct_answer": "B"
    },
    {
      "id": 21,
      "difficulty": "medium",
      "question": "🔺 Can we construct a triangle with sides 6cm, 7cm, 14cm? 🤔",
      "options": {
        "A": "Yes",
        "B": "No",
        "C": "Sometimes",
        "D": "With protractor"
      },
      "correct_answer": "B"
    },
    {
      "id": 22,
      "difficulty": "medium",
      "question": "📏 Construct a triangle with sides 5cm, 6cm, and included angle 60°. Which criterion?",
      "options": { "A": "SSS", "B": "SAS", "C": "ASA", "D": "RHS" },
      "correct_answer": "B"
    },
    {
      "id": 23,
      "difficulty": "medium",
      "question": "🎯 For triangle ABC, if AB=5cm, BC=6cm, CA=7cm, which criterion?",
      "options": { "A": "ASA", "B": "SAS", "C": "SSS", "D": "AAA" },
      "correct_answer": "C"
    },
    {
      "id": 24,
      "difficulty": "medium",
      "question": "📐 If two angles are 45° and 60°, and included side is 5cm, triangle is _____.",
      "options": {
        "A": "Equilateral",
        "B": "Scalene",
        "C": "Isosceles",
        "D": "Right"
      },
      "correct_answer": "B"
    },
    {
      "id": 25,
      "difficulty": "medium",
      "question": "🔺 Can we construct a unique triangle with angles 50°, 60°, 70°?",
      "options": {
        "A": "Yes",
        "B": "No",
        "C": "Sometimes",
        "D": "With ruler only"
      },
      "correct_answer": "B"
    },
    {
      "id": 26,
      "difficulty": "medium",
      "question": "📏 Which set forms a right triangle? 📐",
      "options": {
        "A": "3cm, 4cm, 5cm",
        "B": "5cm, 6cm, 7cm",
        "C": "6cm, 8cm, 10cm",
        "D": "Both A and C"
      },
      "correct_answer": "D"
    },
    {
      "id": 27,
      "difficulty": "medium",
      "question": "🎯 Construct triangle with hypotenuse 10cm and one side 6cm. Which criterion?",
      "options": { "A": "SSS", "B": "SAS", "C": "RHS", "D": "ASA" },
      "correct_answer": "C"
    },
    {
      "id": 28,
      "difficulty": "medium",
      "question": "📐 In triangle construction, arcs are drawn to _____.",
      "options": {
        "A": "Measure angles",
        "B": "Locate vertices",
        "C": "Draw sides",
        "D": "Find area"
      },
      "correct_answer": "B"
    },
    {
      "id": 29,
      "difficulty": "medium",
      "question": "🔺 To construct a triangle with sides 8cm, 8cm, 11cm, first step is to draw base = _____.",
      "options": {
        "A": "8cm",
        "B": "11cm",
        "C": "Any",
        "D": "Draw angle first"
      },
      "correct_answer": "B"
    },
    {
      "id": 30,
      "difficulty": "medium",
      "question": "📏 If three sides are given, how many arcs are drawn? 🔄",
      "options": { "A": "1", "B": "2", "C": "3", "D": "4" },
      "correct_answer": "B"
    },
    {
      "id": 31,
      "difficulty": "medium",
      "question": "🎯 Which is not a necessary condition for triangle construction? ❌",
      "options": {
        "A": "Sum of two sides > third",
        "B": "Sum of angles = 180°",
        "C": "At least one side given",
        "D": "All angles acute"
      },
      "correct_answer": "D"
    },
    {
      "id": 32,
      "difficulty": "medium",
      "question": "📐 For a triangle with sides 9cm, 12cm, 15cm, it is a _____ triangle.",
      "options": {
        "A": "Acute",
        "B": "Obtuse",
        "C": "Right",
        "D": "Equilateral"
      },
      "correct_answer": "C"
    },
    {
      "id": 33,
      "difficulty": "medium",
      "question": "🔺 Can we construct triangle with sides 4.5cm, 5.5cm, 10cm?",
      "options": {
        "A": "Yes",
        "B": "No",
        "C": "Only with compass",
        "D": "If angles known"
      },
      "correct_answer": "B"
    },
    {
      "id": 34,
      "difficulty": "medium",
      "question": "📏 In ASA construction, we need _____ side.",
      "options": {
        "A": "Any",
        "B": "Included",
        "C": "Longest",
        "D": "Shortest"
      },
      "correct_answer": "B"
    },
    {
      "id": 35,
      "difficulty": "medium",
      "question": "🎯 If two sides are 7cm and 9cm, what could be third side for triangle? 📏",
      "options": {
        "A": "2cm",
        "B": "5cm",
        "C": "16cm",
        "D": "18cm"
      },
      "correct_answer": "B"
    },
    {
      "id": 36,
      "difficulty": "medium",
      "question": "📐 Which triangles can be constructed? 🔺",
      "options": {
        "A": "Sides: 2,3,5",
        "B": "Sides: 3,4,5",
        "C": "Sides: 1,2,3",
        "D": "Sides: 4,5,10"
      },
      "correct_answer": "B"
    },
    {
      "id": 37,
      "difficulty": "medium",
      "question": "🔺 Construct triangle PQR with ∠P=40°, ∠Q=60°, PQ=5cm. Which criterion?",
      "options": { "A": "SSS", "B": "SAS", "C": "ASA", "D": "RHS" },
      "correct_answer": "C"
    },
    {
      "id": 38,
      "difficulty": "medium",
      "question": "📏 Triangle with sides in ratio 3:4:5 is always _____.",
      "options": {
        "A": "Acute",
        "B": "Obtuse",
        "C": "Right",
        "D": "Equilateral"
      },
      "correct_answer": "C"
    },
    {
      "id": 39,
      "difficulty": "medium",
      "question": "🎯 For RHS, we need right angle, hypotenuse and one _____.",
      "options": { "A": "Angle", "B": "Side", "C": "Altitude", "D": "Median" },
      "correct_answer": "B"
    },
    {
      "id": 40,
      "difficulty": "medium",
      "question": "📐 If two angles are 55° and 65°, third angle is _____.",
      "options": { "A": "50°", "B": "60°", "C": "70°", "D": "80°" },
      "correct_answer": "B"
    },
    {
      "id": 41,
      "difficulty": "hard",
      "question": "🔺 Construct triangle with sides 8cm, 10cm, and angle between them 45°. What is third side approx? 📏",
      "options": { "A": "7.1cm", "B": "8.5cm", "C": "9.2cm", "D": "10.8cm" },
      "correct_answer": "A"
    },
    {
      "id": 42,
      "difficulty": "hard",
      "question": "📏 Can two different triangles be constructed with same SSS measurements?",
      "options": {
        "A": "Yes",
        "B": "No",
        "C": "Sometimes",
        "D": "If angles differ"
      },
      "correct_answer": "B"
    },
    {
      "id": 43,
      "difficulty": "hard",
      "question": "🎯 Construct triangle with angles 30°, 60°, 90° and hypotenuse 12cm. Which side is 6cm? 📐",
      "options": {
        "A": "Opposite 30°",
        "B": "Opposite 60°",
        "C": "Adjacent to 30°",
        "D": "Hypotenuse"
      },
      "correct_answer": "A"
    },
    {
      "id": 44,
      "difficulty": "hard",
      "question": "📐 With sides 6cm, 8cm, 10cm, how many right triangles can be drawn? 🔺",
      "options": { "A": "0", "B": "1", "C": "2", "D": "Infinite" },
      "correct_answer": "B"
    },
    {
      "id": 45,
      "difficulty": "hard",
      "question": "🔺 Triangle ABC: AB=7cm, AC=7cm, ∠A=50°. This is _____ triangle.",
      "options": {
        "A": "Scalene",
        "B": "Isosceles",
        "C": "Equilateral",
        "D": "Right"
      },
      "correct_answer": "B"
    },
    {
      "id": 46,
      "difficulty": "hard",
      "question": "📏 Construct triangle with base 9cm, base angles 40° and 70°. Third angle is _____.",
      "options": { "A": "50°", "B": "60°", "C": "70°", "D": "80°" },
      "correct_answer": "C"
    },
    {
      "id": 47,
      "difficulty": "hard",
      "question": "🎯 Triangle PQR: PQ=5cm, QR=5cm, PR=8cm. What type? 📐",
      "options": {
        "A": "Equilateral",
        "B": "Isosceles",
        "C": "Scalene",
        "D": "Right"
      },
      "correct_answer": "B"
    },
    {
      "id": 48,
      "difficulty": "hard",
      "question": "📐 If in triangle, sides are 5cm, 12cm, 13cm, area can be found without height because it is _____.",
      "options": {
        "A": "Equilateral",
        "B": "Right",
        "C": "Isosceles",
        "D": "Obtuse"
      },
      "correct_answer": "B"
    },
    {
      "id": 49,
      "difficulty": "hard",
      "question": "🔺 Two sides of triangle are 10cm and 6cm. Third side must be between _____ and _____.",
      "options": {
        "A": "4cm, 16cm",
        "B": "4cm, 10cm",
        "C": "6cm, 10cm",
        "D": "5cm, 15cm"
      },
      "correct_answer": "A"
    },
    {
      "id": 50,
      "difficulty": "hard",
      "question": "📏 Construct triangle with sides 7.5cm, 8cm, 8.5cm. What type? 🔺",
      "options": {
        "A": "Acute",
        "B": "Right",
        "C": "Obtuse",
        "D": "Equilateral"
      },
      "correct_answer": "A"
    },
    {
      "id": 51,
      "difficulty": "hard",
      "question": "🎯 In a triangle, if two angles are 35° and 95°, third angle is _____.",
      "options": { "A": "40°", "B": "45°", "C": "50°", "D": "55°" },
      "correct_answer": "C"
    },
    {
      "id": 52,
      "difficulty": "hard",
      "question": "📐 Can we construct triangle with angles 45°, 45°, 90° and side 7cm (not hypotenuse)?",
      "options": {
        "A": "Yes",
        "B": "No",
        "C": "Only with hypotenuse",
        "D": "Two possible"
      },
      "correct_answer": "A"
    },
    {
      "id": 53,
      "difficulty": "hard",
      "question": "🔺 For triangle with perimeter 20cm and two sides 8cm and 7cm, third side is _____.",
      "options": { "A": "5cm", "B": "6cm", "C": "7cm", "D": "8cm" },
      "correct_answer": "A"
    },
    {
      "id": 54,
      "difficulty": "hard",
      "question": "📏 Triangle sides: x, x+1, x+2. If perimeter=24cm, longest side is _____.",
      "options": { "A": "7cm", "B": "8cm", "C": "9cm", "D": "10cm" },
      "correct_answer": "C"
    },
    {
      "id": 55,
      "difficulty": "hard",
      "question": "🎯 Construct right triangle with legs 5cm and 12cm. Hypotenuse = _____.",
      "options": { "A": "13cm", "B": "14cm", "C": "15cm", "D": "16cm" },
      "correct_answer": "A"
    },
    {
      "id": 56,
      "difficulty": "hard",
      "question": "📐 With measurements: side=6cm, side=8cm, angle=90° (not between them). How many triangles possible?",
      "options": {
        "A": "0",
        "B": "1",
        "C": "2",
        "D": "Infinite"
      },
      "correct_answer": "B"
    },
    {
      "id": 57,
      "difficulty": "hard",
      "question": "🔺 Triangle with sides 11cm, 13cm, 17cm is _____ triangle.",
      "options": {
        "A": "Acute",
        "B": "Right",
        "C": "Obtuse",
        "D": "Cannot determine"
      },
      "correct_answer": "A"
    },
    {
      "id": 58,
      "difficulty": "hard",
      "question": "📏 Construct triangle with base 10cm, base angles 30° and 100°. Third angle is _____.",
      "options": { "A": "40°", "B": "50°", "C": "60°", "D": "70°" },
      "correct_answer": "B"
    },
    {
      "id": 59,
      "difficulty": "hard",
      "question": "🎯 For unique triangle by SAS, angle must be _____ the two sides.",
      "options": {
        "A": "Between",
        "B": "Opposite to",
        "C": "Adjacent to",
        "D": "Parallel to"
      },
      "correct_answer": "A"
    },
    {
      "id": 60,
      "difficulty": "hard",
      "question": "📐 Which condition ensures unique triangle construction? ✅",
      "options": {
        "A": "AAA",
        "B": "SSA",
        "C": "ASA",
        "D": "All angles equal"
      },
      "correct_answer": "C"
    }
  ]
}