{
"title": "Properties_of_quadrilaterals(Understanding_Quadrilaterals) - Grade 8 ICSE",
"total_questions": 60,
"questions": [
{"id": 1, "difficulty": "easy", "question": "In a parallelogram, opposite angles are _______. 🔄", "options": {"A": "equal", "B": "complementary", "C": "supplementary", "D": "unequal"}, "correct_answer": "A"},
{"id": 2, "difficulty": "easy", "question": "Diagonals of a rectangle are _______. 📏", "options": {"A": "equal", "B": "perpendicular", "C": "unequal", "D": "parallel"}, "correct_answer": "A"},
{"id": 3, "difficulty": "easy", "question": "In a rhombus, all sides are _______. 🔶", "options": {"A": "equal", "B": "unequal", "C": "parallel", "D": "perpendicular"}, "correct_answer": "A"},
{"id": 4, "difficulty": "easy", "question": "A square has all the properties of a _______. 🔳", "options": {"A": "rectangle", "B": "rhombus", "C": "both A and B", "D": "neither"}, "correct_answer": "C"},
{"id": 5, "difficulty": "easy", "question": "In a kite, adjacent sides are _______. 🪁", "options": {"A": "equal", "B": "parallel", "C": "perpendicular", "D": "unequal"}, "correct_answer": "A"},
{"id": 6, "difficulty": "easy", "question": "Sum of interior angles of any quadrilateral is _______. ➕", "options": {"A": "180°", "B": "270°", "C": "360°", "D": "450°"}, "correct_answer": "C"},
{"id": 7, "difficulty": "easy", "question": "Diagonals of a square are _______. ⬜", "options": {"A": "equal and perpendicular", "B": "unequal", "C": "parallel", "D": "none of these"}, "correct_answer": "A"},
{"id": 8, "difficulty": "easy", "question": "In a trapezium, one pair of opposite sides is _______. 📐", "options": {"A": "equal", "B": "parallel", "C": "perpendicular", "D": "none"}, "correct_answer": "B"},
{"id": 9, "difficulty": "easy", "question": "In a parallelogram, consecutive angles are _______. 🔄", "options": {"A": "equal", "B": "supplementary", "C": "complementary", "D": "right angles"}, "correct_answer": "B"},
{"id": 10, "difficulty": "easy", "question": "Diagonals of a rhombus are _______. ♦️", "options": {"A": "equal", "B": "perpendicular bisectors", "C": "parallel", "D": "same length"}, "correct_answer": "B"},
{"id": 11, "difficulty": "easy", "question": "In a rectangle, each angle is _______. ⬜", "options": {"A": "acute", "B": "obtuse", "C": "right angle", "D": "straight angle"}, "correct_answer": "C"},
{"id": 12, "difficulty": "easy", "question": "A quadrilateral with only one pair of parallel sides is called _______. 🔼", "options": {"A": "parallelogram", "B": "trapezium", "C": "rhombus", "D": "kite"}, "correct_answer": "B"},
{"id": 13, "difficulty": "easy", "question": "In a kite, diagonals are _______. 🪁", "options": {"A": "equal", "B": "perpendicular", "C": "parallel", "D": "none"}, "correct_answer": "B"},
{"id": 14, "difficulty": "easy", "question": "Diagonals of a parallelogram ______ each other. ➗", "options": {"A": "bisect", "B": "are equal to", "C": "are perpendicular to", "D": "don't intersect"}, "correct_answer": "A"},
{"id": 15, "difficulty": "easy", "question": "A rhombus with a right angle becomes a _______. 🔶", "options": {"A": "rectangle", "B": "square", "C": "kite", "D": "trapezium"}, "correct_answer": "B"},
{"id": 16, "difficulty": "easy", "question": "In an isosceles trapezium, non-parallel sides are _______. ⚖️", "options": {"A": "equal", "B": "parallel", "C": "perpendicular", "D": "unequal"}, "correct_answer": "A"},
{"id": 17, "difficulty": "easy", "question": "Which quadrilateral has diagonals that are always equal? 📊", "options": {"A": "Parallelogram", "B": "Rhombus", "C": "Rectangle", "D": "Kite"}, "correct_answer": "C"},
{"id": 18, "difficulty": "easy", "question": "In a square, diagonals are angle _______. 📐", "options": {"A": "bisectors", "B": "not related", "C": "supplements", "D": "complements"}, "correct_answer": "A"},
{"id": 19, "difficulty": "easy", "question": "A parallelogram with equal diagonals is a _______. 🔄", "options": {"A": "rhombus", "B": "rectangle", "C": "square", "D": "kite"}, "correct_answer": "B"},
{"id": 20, "difficulty": "easy", "question": "Which quadrilateral has no parallel sides? 🚫", "options": {"A": "Trapezium", "B": "Kite", "C": "Parallelogram", "D": "Rectangle"}, "correct_answer": "B"},
{"id": 21, "difficulty": "medium", "question": "If one angle of a parallelogram is 75°, its opposite angle is _______. 🔢", "options": {"A": "75°", "B": "105°", "C": "15°", "D": "90°"}, "correct_answer": "A"},
{"id": 22, "difficulty": "medium", "question": "Diagonals of a rhombus are 10 cm and 24 cm. Side length is _______. 📏", "options": {"A": "13 cm", "B": "26 cm", "C": "34 cm", "D": "17 cm"}, "correct_answer": "A"},
{"id": 23, "difficulty": "medium", "question": "In rectangle, diagonals intersect at O. If ∠AOB = 110°, ∠OAD = ? 🔄", "options": {"A": "35°", "B": "55°", "C": "70°", "D": "110°"}, "correct_answer": "A"},
{"id": 24, "difficulty": "medium", "question": "A quadrilateral with diagonals equal and perpendicular is a _______. ⭐", "options": {"A": "rectangle", "B": "rhombus", "C": "square", "D": "kite"}, "correct_answer": "C"},
{"id": 25, "difficulty": "medium", "question": "In parallelogram ABCD, ∠A : ∠B = 2:3. ∠C = _______. 📐", "options": {"A": "72°", "B": "108°", "C": "120°", "D": "60°"}, "correct_answer": "B"},
{"id": 26, "difficulty": "medium", "question": "If diagonals of a quadrilateral bisect each other at right angles, it is a _______. ➕", "options": {"A": "rectangle", "B": "rhombus", "C": "square", "D": "both B and C"}, "correct_answer": "D"},
{"id": 27, "difficulty": "medium", "question": "In trapezium, midsegment length is average of _______. 📊", "options": {"A": "diagonals", "B": "parallel sides", "C": "non-parallel sides", "D": "all sides"}, "correct_answer": "B"},
{"id": 28, "difficulty": "medium", "question": "A kite has one diagonal 16 cm, other 12 cm. Area is _______. 🪁", "options": {"A": "96 cm²", "B": "48 cm²", "C": "192 cm²", "D": "84 cm²"}, "correct_answer": "A"},
{"id": 29, "difficulty": "medium", "question": "In rhombus, diagonals are in ratio 3:4. Perimeter is 40 cm. Diagonals are _______. 🔶", "options": {"A": "12,16 cm", "B": "6,8 cm", "C": "9,12 cm", "D": "15,20 cm"}, "correct_answer": "A"},
{"id": 30, "difficulty": "medium", "question": "Which is always true for a parallelogram? ✅", "options": {"A": "Diagonals equal", "B": "Diagonals perpendicular", "C": "Opposite sides equal", "D": "All angles equal"}, "correct_answer": "C"},
{"id": 31, "difficulty": "medium", "question": "In quadrilateral, if one pair of opposite sides equal and parallel, it is a _______. 🔄", "options": {"A": "kite", "B": "trapezium", "C": "parallelogram", "D": "rhombus"}, "correct_answer": "C"},
{"id": 32, "difficulty": "medium", "question": "Diagonals of rectangle are 2x+3 and x+7. Value of x? 🔢", "options": {"A": "2", "B": "4", "C": "6", "D": "8"}, "correct_answer": "B"},
{"id": 33, "difficulty": "medium", "question": "A parallelogram becomes a rectangle if _______. 🏗️", "options": {"A": "diagonals equal", "B": "angles right", "C": "both A and B", "D": "sides equal"}, "correct_answer": "C"},
{"id": 34, "difficulty": "medium", "question": "In isosceles trapezium, base angles are _______. ⚖️", "options": {"A": "equal", "B": "supplementary", "C": "complementary", "D": "right"}, "correct_answer": "A"},
{"id": 35, "difficulty": "medium", "question": "Which quadrilateral has diagonals that are not necessarily equal? ❌", "options": {"A": "Rectangle", "B": "Square", "C": "Rhombus", "D": "Isosceles trapezium"}, "correct_answer": "C"},
{"id": 36, "difficulty": "medium", "question": "In parallelogram, diagonals are 8 and 10 cm. They bisect at 60°. Sides are _______. 🔍", "options": {"A": "√21 and √61 cm", "B": "4 and 5 cm", "C": "6 and 8 cm", "D": "can't find"}, "correct_answer": "A"},
{"id": 37, "difficulty": "medium", "question": "A quadrilateral with three right angles is a _______. ⬜", "options": {"A": "square", "B": "rectangle", "C": "trapezium", "D": "kite"}, "correct_answer": "B"},
{"id": 38, "difficulty": "medium", "question": "In kite, one diagonal is bisected by the other. If shorter diagonal is 6 cm, segments of longer are _______. 🪁", "options": {"A": "3 cm each", "B": "6 cm each", "C": "unequal", "D": "not bisected"}, "correct_answer": "C"},
{"id": 39, "difficulty": "medium", "question": "Diagonals of quadrilateral bisect each other. It must be a _______. ➗", "options": {"A": "parallelogram", "B": "rhombus", "C": "rectangle", "D": "square"}, "correct_answer": "A"},
{"id": 40, "difficulty": "medium", "question": "Which property is NOT true for all rectangles? 🚫", "options": {"A": "Diagonals equal", "B": "All angles equal", "C": "Diagonals perpendicular", "D": "Opposite sides equal"}, "correct_answer": "C"},
{"id": 41, "difficulty": "hard", "question": "In parallelogram, diagonals are perpendicular. If one side is 13 cm and one diagonal 10 cm, other diagonal is _______. 🔄", "options": {"A": "24 cm", "B": "12 cm", "C": "√269 cm", "D": "20 cm"}, "correct_answer": "A"},
{"id": 42, "difficulty": "hard", "question": "A quadrilateral has vertices at (0,0), (4,0), (3,3), (0,3). Type? 📊", "options": {"A": "Rectangle", "B": "Parallelogram", "C": "Trapezium", "D": "Kite"}, "correct_answer": "C"},
{"id": 43, "difficulty": "hard", "question": "In rhombus, side is 10 cm, one diagonal 12 cm. Distance between opposite sides is _______. 📏", "options": {"A": "9.6 cm", "B": "8 cm", "C": "4.8 cm", "D": "12 cm"}, "correct_answer": "A"},
{"id": 44, "difficulty": "hard", "question": "Diagonals of trapezium divide each other proportionally. If parallel sides are 12 and 18 cm, ratio of diagonals segments is _______. ➗", "options": {"A": "2:3", "B": "3:2", "C": "1:1", "D": "4:5"}, "correct_answer": "A"},
{"id": 45, "difficulty": "hard", "question": "In cyclic quadrilateral ABCD, ∠A:∠B:∠C:∠D = 2:3:4:3. ∠A = _______. 🔄", "options": {"A": "60°", "B": "80°", "C": "90°", "D": "100°"}, "correct_answer": "A"},
{"id": 46, "difficulty": "hard", "question": "A parallelogram's sides are 8 and 12 cm. Diagonals are in ratio 1:2. Smaller diagonal is _______. 🔍", "options": {"A": "10 cm", "B": "12 cm", "C": "14 cm", "D": "16 cm"}, "correct_answer": "B"},
{"id": 47, "difficulty": "hard", "question": "Quadrilateral with perpendicular diagonals has area 1/2 × d₁ × d₂. Which quadrilateral? 📐", "options": {"A": "Kite", "B": "Rhombus", "C": "Square", "D": "All of these"}, "correct_answer": "D"},
{"id": 48, "difficulty": "hard", "question": "In rectangle, diagonal is 15 cm, side is 9 cm. Other side is _______. 🔢", "options": {"A": "12 cm", "B": "10 cm", "C": "8 cm", "D": "6 cm"}, "correct_answer": "A"},
{"id": 49, "difficulty": "hard", "question": "A quadrilateral where diagonals are equal and bisect each other but not at right angles is a _______. ⚖️", "options": {"A": "square", "B": "rectangle", "C": "rhombus", "D": "isosceles trapezium"}, "correct_answer": "B"},
{"id": 50, "difficulty": "hard", "question": "In parallelogram, if diagonals are equal and bisect at right angles, it must be a _______. ⭐", "options": {"A": "rhombus", "B": "rectangle", "C": "square", "D": "kite"}, "correct_answer": "C"},
{"id": 51, "difficulty": "hard", "question": "Trapezium ABCD has AB||CD. If ∠A=110°, ∠D=70°, then ∠C = _______. 🔄", "options": {"A": "70°", "B": "110°", "C": "90°", "D": "80°"}, "correct_answer": "B"},
{"id": 52, "difficulty": "hard", "question": "In kite, unequal angles are 80° and 120°. Other two angles are _______. 🪁", "options": {"A": "80° and 80°", "B": "80° and 120°", "C": "100° and 60°", "D": "90° each"}, "correct_answer": "A"},
{"id": 53, "difficulty": "hard", "question": "Diagonals of quadrilateral intersect at 90°. Midpoints of sides form a _______. 🔲", "options": {"A": "parallelogram", "B": "rectangle", "C": "rhombus", "D": "square"}, "correct_answer": "B"},
{"id": 54, "difficulty": "hard", "question": "In rhombus, diagonals are 24 and 10 cm. Radius of inscribed circle is _______. 🔴", "options": {"A": "4.8 cm", "B": "5 cm", "C": "6 cm", "D": "12 cm"}, "correct_answer": "A"},
{"id": 55, "difficulty": "hard", "question": "A quadrilateral where sum of opposite angles is 180° is _______. ➕", "options": {"A": "cyclic", "B": "parallelogram", "C": "kite", "D": "trapezium"}, "correct_answer": "A"},
{"id": 56, "difficulty": "hard", "question": "In parallelogram, point E on diagonal BD divides it 2:3. Line through E parallel to AB divides area in ratio _______. 📊", "options": {"A": "2:3", "B": "3:2", "C": "4:9", "D": "5:4"}, "correct_answer": "A"},
{"id": 57, "difficulty": "hard", "question": "A quadrilateral has perpendicular diagonals. If sides are 6,7,8,9 cm, area is _______. 📏", "options": {"A": "√(95) cm²", "B": "√(380) cm²", "C": "30 cm²", "D": "can't determine"}, "correct_answer": "D"},
{"id": 58, "difficulty": "hard", "question": "In rectangle, angle between diagonal and side is 30°. Diagonal is 14 cm. Area is _______. 📐", "options": {"A": "49√3 cm²", "B": "98 cm²", "C": "49 cm²", "D": "98√3 cm²"}, "correct_answer": "A"},
{"id": 59, "difficulty": "hard", "question": "Which quadrilateral has line symmetry but not necessarily rotational symmetry? 🌀", "options": {"A": "Square", "B": "Rectangle", "C": "Kite", "D": "Rhombus"}, "correct_answer": "C"},
{"id": 60, "difficulty": "hard", "question": "A parallelogram has sides 7 and 9 cm. One diagonal is 8 cm. Other diagonal is _______. 🔄", "options": {"A": "√260 cm", "B": "12 cm", "C": "√292 cm", "D": "14 cm"}, "correct_answer": "C"}
]
}