{
  "title": "Construction of Quadrilaterals - Grade 9 ICSE",
  "total_questions": 60,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "To construct a quadrilateral, what is the minimum number of measurements needed? 📏", "options": {"A": "3", "B": "4", "C": "5", "D": "6"}, "correct_answer": "C"},
    {"id": 2, "difficulty": "easy", "question": "Which instrument is essential to draw perpendicular lines in quadrilateral construction? 📐", "options": {"A": "Protractor only", "B": "Divider", "C": "Set square or compass", "D": "Scale only"}, "correct_answer": "C"},
    {"id": 3, "difficulty": "easy", "question": "If you know all four sides of a quadrilateral, which additional measurement helps in construction? 🔺", "options": {"A": "Any angle", "B": "Sum of two angles", "C": "One diagonal or one angle", "D": "Height"}, "correct_answer": "C"},
    {"id": 4, "difficulty": "easy", "question": "What is the first step in constructing a quadrilateral using SSSS method? 🏗️", "options": {"A": "Draw all angles", "B": "Draw one side", "C": "Draw both diagonals", "D": "Draw perpendicular bisector"}, "correct_answer": "B"},
    {"id": 5, "difficulty": "easy", "question": "A quadrilateral can be uniquely constructed if you know: ✨", "options": {"A": "Three sides", "B": "Two diagonals", "C": "Four sides and one diagonal", "D": "All four angles"}, "correct_answer": "C"},
    {"id": 6, "difficulty": "easy", "question": "Which of these is NOT required to construct a parallelogram? 🚫", "options": {"A": "Two adjacent sides and one angle", "B": "Both diagonals and angle between them", "C": "Both diagonals and one side", "D": "All four sides"}, "correct_answer": "D"},
    {"id": 7, "difficulty": "easy", "question": "If you have AB = 5 cm, BC = 4 cm, CD = 5 cm, DA = 4 cm, which shape can it form? 🔲", "options": {"A": "Rectangle", "B": "Parallelogram", "C": "Rhombus", "D": "Square"}, "correct_answer": "B"},
    {"id": 8, "difficulty": "easy", "question": "What tool is used to measure angles during construction? 📐", "options": {"A": "Compass", "B": "Divider", "C": "Protractor", "D": "Scale"}, "correct_answer": "C"},
    {"id": 9, "difficulty": "easy", "question": "To construct a rhombus, you need: 💎", "options": {"A": "All four angles", "B": "One side and one angle", "C": "Two diagonals", "D": "Both B and C"}, "correct_answer": "D"},
    {"id": 10, "difficulty": "easy", "question": "What quadrilateral can be constructed if you know its four sides and one diagonal? 🔷", "options": {"A": "Any quadrilateral", "B": "Only square", "C": "Only rectangle", "D": "Unique quadrilateral"}, "correct_answer": "D"},
    {"id": 11, "difficulty": "easy", "question": "Which property helps in constructing a rectangle? 📏", "options": {"A": "Diagonals are equal", "B": "Opposite sides equal", "C": "All angles 90°", "D": "All of these"}, "correct_answer": "D"},
    {"id": 12, "difficulty": "easy", "question": "If sides are 6 cm, 5 cm, 6 cm, 5 cm and one angle is 60°, which shape is it? 📐", "options": {"A": "Rectangle", "B": "Parallelogram", "C": "Trapezium", "D": "Kite"}, "correct_answer": "B"},
    {"id": 13, "difficulty": "easy", "question": "What helps to locate the fourth vertex of a quadrilateral? 🎯", "options": {"A": "Arc intersection", "B": "Midpoint", "C": "Angle bisector", "D": "Perpendicular line"}, "correct_answer": "A"},
    {"id": 14, "difficulty": "easy", "question": "A kite can be constructed using: 🪁", "options": {"A": "Two equal sides", "B": "Two unequal sides", "C": "Two pairs of equal adjacent sides", "D": "All sides equal"}, "correct_answer": "C"},
    {"id": 15, "difficulty": "easy", "question": "When constructing a square, what's enough? ⬛", "options": {"A": "One side", "B": "One diagonal", "C": "Both A and B", "D": "Two adjacent sides"}, "correct_answer": "C"},
    {"id": 16, "difficulty": "easy", "question": "How do you ensure opposite sides are parallel in construction? ➖", "options": {"A": "Measure angles", "B": "Use set square", "C": "Check diagonals", "D": "Measure sides"}, "correct_answer": "A"},
    {"id": 17, "difficulty": "easy", "question": "What's the key step after drawing base AB? 🚧", "options": {"A": "Draw diagonal", "B": "Mark angle at A", "C": "Draw perpendicular", "D": "Measure all sides"}, "correct_answer": "B"},
    {"id": 18, "difficulty": "easy", "question": "If diagonals are given, which quadrilateral is easiest? ✖️", "options": {"A": "Rhombus", "B": "Rectangle", "C": "Square", "D": "Kite"}, "correct_answer": "A"},
    {"id": 19, "difficulty": "easy", "question": "To construct trapezium, you need: 📊", "options": {"A": "Two parallel sides", "B": "Non-parallel sides", "C": "Height", "D": "All of these"}, "correct_answer": "D"},
    {"id": 20, "difficulty": "easy", "question": "What is the final check after construction? ✅", "options": {"A": "All sides equal", "B": "Measure given lengths/angles", "C": "Diagonals equal", "D": "Angles sum 180°"}, "correct_answer": "B"},
    {"id": 21, "difficulty": "medium", "question": "Construct quadrilateral ABCD with AB = 6 cm, BC = 5 cm, CD = 6 cm, DA = 5 cm, and diagonal AC = 8 cm. What is ∠ABC approximately? 📐", "options": {"A": "60°", "B": "90°", "C": "75°", "D": "105°"}, "correct_answer": "C"},
    {"id": 22, "difficulty": "medium", "question": "Given PQ = 7 cm, QR = 6 cm, RS = 7 cm, SP = 6 cm, and ∠P = 60°, what type of quadrilateral is PQRS? 🔶", "options": {"A": "Rhombus", "B": "Parallelogram", "C": "Rectangle", "D": "Kite"}, "correct_answer": "B"},
    {"id": 23, "difficulty": "medium", "question": "To construct a rectangle with diagonals 10 cm each and angle between them 60°, what is length of sides? 📏", "options": {"A": "5 cm, 8.66 cm", "B": "6 cm, 8 cm", "C": "7 cm, 7 cm", "D": "Not a rectangle"}, "correct_answer": "D"},
    {"id": 24, "difficulty": "medium", "question": "Construct a parallelogram with sides 8 cm and 6 cm, one diagonal 9 cm. What is the other diagonal length approx? ⚖️", "options": {"A": "7.2 cm", "B": "8.5 cm", "C": "10 cm", "D": "11.3 cm"}, "correct_answer": "A"},
    {"id": 25, "difficulty": "medium", "question": "If in quadrilateral, four sides and one angle given, how many arcs needed to find 4th vertex? 🎯", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "B"},
    {"id": 26, "difficulty": "medium", "question": "Construct rhombus with diagonals 8 cm and 6 cm. What is its perimeter? 🔷", "options": {"A": "20 cm", "B": "24 cm", "C": "28 cm", "D": "32 cm"}, "correct_answer": "A"},
    {"id": 27, "difficulty": "medium", "question": "To construct quadrilateral with sides 5,6,7,8 cm and one diagonal 9 cm, how many triangles are formed? 🔺", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "B"},
    {"id": 28, "difficulty": "medium", "question": "Given trapezium ABCD, AB || CD, AB=10, CD=6, BC=5, DA=5. What is height approximately? 📏", "options": {"A": "3 cm", "B": "4 cm", "C": "4.8 cm", "D": "5.2 cm"}, "correct_answer": "C"},
    {"id": 29, "difficulty": "medium", "question": "In constructing kite with diagonals 12 cm and 16 cm, what is side length if one diagonal bisects other? 🪁", "options": {"A": "10 cm", "B": "8 cm", "C": "12 cm", "D": "14 cm"}, "correct_answer": "A"},
    {"id": 30, "difficulty": "medium", "question": "Construct quadrilateral with ∠A=70°, ∠B=110°, ∠C=70°, ∠D=110°, and AB=7 cm. What shape? 🔳", "options": {"A": "Parallelogram", "B": "Trapezium", "C": "Kite", "D": "Rhombus"}, "correct_answer": "A"},
    {"id": 31, "difficulty": "medium", "question": "If for construction you have 3 sides and 2 diagonals, which step comes first? 🛠️", "options": {"A": "Draw longest side", "B": "Draw both diagonals", "C": "Construct triangle with 3 sides", "D": "Draw all angles"}, "correct_answer": "A"},
    {"id": 32, "difficulty": "medium", "question": "What is ∠D in quadrilateral ABCD with AB=5, BC=7, CD=5, DA=7, AC=8? 📐", "options": {"A": "Equal to ∠B", "B": "Equal to ∠A", "C": "90°", "D": "Cannot determine"}, "correct_answer": "A"},
    {"id": 33, "difficulty": "medium", "question": "If a quadrilateral's diagonals are 10 cm each and bisect at 90°, it is a: ⭕", "options": {"A": "Rectangle", "B": "Square", "C": "Rhombus", "D": "Kite"}, "correct_answer": "C"},
    {"id": 34, "difficulty": "medium", "question": "To construct a parallelogram with sides 9 cm, 5 cm and one diagonal 11 cm, how many arcs from each endpoint? 🔄", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "B"},
    {"id": 35, "difficulty": "medium", "question": "In rectangle construction, if length=12, breadth=5, what is diagonal length? 📐", "options": {"A": "13", "B": "14", "C": "15", "D": "16"}, "correct_answer": "A"},
    {"id": 36, "difficulty": "medium", "question": "Construct a square of diagonal 10√2 cm. What is its area? ⬛", "options": {"A": "50 cm²", "B": "100 cm²", "C": "150 cm²", "D": "200 cm²"}, "correct_answer": "B"},
    {"id": 37, "difficulty": "medium", "question": "For a cyclic quadrilateral, which construction property is used? 🔄", "options": {"A": "Sum of opposite angles 180°", "B": "Equal sides", "C": "Perpendicular diagonals", "D": "All angles equal"}, "correct_answer": "A"},
    {"id": 38, "difficulty": "medium", "question": "If two adjacent sides and three angles given, is construction unique? ❓", "options": {"A": "Yes", "B": "No", "C": "Sometimes", "D": "Never"}, "correct_answer": "A"},
    {"id": 39, "difficulty": "medium", "question": "In trapezium construction, non-parallel sides are 5 cm each, parallel sides 8 cm and 12 cm. What is distance between parallels? 📏", "options": {"A": "4 cm", "B": "5 cm", "C": "3 cm", "D": "6 cm"}, "correct_answer": "C"},
    {"id": 40, "difficulty": "medium", "question": "Construct rhombus with side 10 cm and one diagonal 12 cm. What is other diagonal? 💎", "options": {"A": "14 cm", "B": "16 cm", "C": "18 cm", "D": "20 cm"}, "correct_answer": "B"},
    {"id": 41, "difficulty": "hard", "question": "Construct quadrilateral PQRS where PQ=8, QR=6, RS=7, SP=5, PR=9. What is approx ∠QRS? 📐", "options": {"A": "85°", "B": "95°", "C": "110°", "D": "120°"}, "correct_answer": "B"},
    {"id": 42, "difficulty": "hard", "question": "Given diagonals of parallelogram are 14 cm and 10 cm, and one side is 8 cm. What is other side? ⚖️", "options": {"A": "6 cm", "B": "7 cm", "C": "8 cm", "D": "9 cm"}, "correct_answer": "A"},
    {"id": 43, "difficulty": "hard", "question": "Construct kite with sides 13 cm, 13 cm, 20 cm, 20 cm and one diagonal 24 cm. What is area? 🪁", "options": {"A": "240 cm²", "B": "260 cm²", "C": "280 cm²", "D": "300 cm²"}, "correct_answer": "A"},
    {"id": 44, "difficulty": "hard", "question": "In quadrilateral ABCD, AB=7, BC=6, CD=8, DA=5, AC=9. What type of quadrilateral? 🔶", "options": {"A": "Cyclic", "B": "Trapezium", "C": "Parallelogram", "D": "Kite"}, "correct_answer": "D"},
    {"id": 45, "difficulty": "hard", "question": "To construct a parallelogram using two diagonals and one side, what condition must diagonals satisfy? ⚠️", "options": {"A": "Bisect each other", "B": "Equal length", "C": "Perpendicular", "D": "None"}, "correct_answer": "A"},
    {"id": 46, "difficulty": "hard", "question": "Construct rectangle with perimeter 28 cm and diagonal 10 cm. What are sides? 📐", "options": {"A": "6 cm, 8 cm", "B": "5 cm, 9 cm", "C": "7 cm, 7 cm", "D": "4 cm, 10 cm"}, "correct_answer": "A"},
    {"id": 47, "difficulty": "hard", "question": "Given ∠A=75°, ∠B=105°, ∠C=75°, ∠D=105°, AB=6, BC=8, what is length of CD? 🔺", "options": {"A": "6", "B": "8", "C": "10", "D": "12"}, "correct_answer": "A"},
    {"id": 48, "difficulty": "hard", "question": "Construct a cyclic quadrilateral with sides 5,6,7,8 cm. What approx radius of circumcircle? 🔵", "options": {"A": "4.1 cm", "B": "4.5 cm", "C": "5.0 cm", "D": "5.6 cm"}, "correct_answer": "B"},
    {"id": 49, "difficulty": "hard", "question": "In parallelogram, diagonals are 12 cm and 16 cm, one side is 10 cm. Is construction possible? 🤔", "options": {"A": "Yes", "B": "No", "C": "Only if angle given", "D": "Only if other side given"}, "correct_answer": "A"},
    {"id": 50, "difficulty": "hard", "question": "Construct trapezium ABCD, AB||CD, AB=14, CD=6, AD=7, BC=9. What is height? 📏", "options": {"A": "6.2 cm", "B": "6.8 cm", "C": "7.5 cm", "D": "8 cm"}, "correct_answer": "B"},
    {"id": 51, "difficulty": "hard", "question": "In quadrilateral, if sum of opposite angles is 180°, it is called: 🔄", "options": {"A": "Cyclic", "B": "Convex", "C": "Concave", "D": "Regular"}, "correct_answer": "A"},
    {"id": 52, "difficulty": "hard", "question": "Given two diagonals 10 cm, 14 cm and included angle 70°, can you construct a unique quadrilateral? 🛠️", "options": {"A": "Yes", "B": "No", "C": "Need more data", "D": "Only parallelogram"}, "correct_answer": "A"},
    {"id": 53, "difficulty": "hard", "question": "Construct a rhombus whose diagonals are in ratio 3:4 and perimeter 40 cm. What is area? 💎", "options": {"A": "96 cm²", "B": "100 cm²", "C": "108 cm²", "D": "120 cm²"}, "correct_answer": "A"},
    {"id": 54, "difficulty": "hard", "question": "To construct a quadrilateral with 4 sides and one diagonal, which triangle inequality must hold? ⚖️", "options": {"A": "Sum of two sides > third in each triangle", "B": "Diagonal < sum of two sides", "C": "Diagonal > difference of two sides", "D": "Both A and C"}, "correct_answer": "D"},
    {"id": 55, "difficulty": "hard", "question": "In rectangle construction, if diagonal and angle between diagonals given, is rectangle unique? ⚠️", "options": {"A": "Yes", "B": "No", "C": "Only if side known", "D": "Only for square"}, "correct_answer": "B"},
    {"id": 56, "difficulty": "hard", "question": "Construct parallelogram with sides 12, 9 and diagonal 15. What is other diagonal? 🔄", "options": {"A": "13", "B": "14", "C": "15", "D": "16"}, "correct_answer": "A"},
    {"id": 57, "difficulty": "hard", "question": "If in kite, unequal sides are 13 and 15, one diagonal 20, what is area? 🪁", "options": {"A": "120", "B": "130", "C": "140", "D": "150"}, "correct_answer": "B"},
    {"id": 58, "difficulty": "hard", "question": "Construct a quadrilateral with angles 70°, 80°, 100°, 110° and side 6 cm between first two angles. What is shape? 📐", "options": {"A": "Trapezium", "B": "Cyclic", "C": "Parallelogram", "D": "Kite"}, "correct_answer": "B"},
    {"id": 59, "difficulty": "hard", "question": "If two adjacent sides and three angles of quadrilateral given, what’s true? ✅", "options": {"A": "Unique construction", "B": "Two possible shapes", "C": "Infinite shapes", "D": "Impossible"}, "correct_answer": "A"},
    {"id": 60, "difficulty": "hard", "question": "Construct square with same perimeter as rectangle 18×12. What is difference in areas? ⬛", "options": {"A": "9 cm²", "B": "12 cm²", "C": "15 cm²", "D": "18 cm²"}, "correct_answer": "A"}
  ]
}