Lesson G4

G4 Properties of quadrilaterals, triangles and polygons Quiz: AQA Maths, Unit 4

20 questions

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Lesson G4, Properties of quadrilaterals, triangles and polygons: 20 multiple choice questions for the AQA GCSE Maths (8300), Unit 4: Geometry and measures, written with Revision Ninja.

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The 20 questions

  1. Which quadrilateral has diagonals that are equal in length and bisect each other?

    • Kite
    • Trapezium
    • Rectangle
    • Rhombus
  2. Which quadrilateral has diagonals that cross at right angles and bisect each other?

    • Parallelogram
    • Trapezium
    • Rhombus
    • Rectangle
  3. Which quadrilateral has exactly two pairs of adjacent sides that are equal, with no other sides equal?

    • Rhombus
    • Kite
    • Trapezium
    • Parallelogram
  4. What is true about opposite angles of a parallelogram?

    • They add up to 180 degrees
    • They are equal
    • They are always 90 degrees
    • They are complementary
  5. A parallelogram has angles 70 degrees, x, 70 degrees and y in order. What is x?

    • 110 degrees
    • 290 degrees
    • 20 degrees
    • 70 degrees
  6. Which triangle has all three sides equal?

    • Equilateral
    • Isosceles
    • Right-angled
    • Scalene
  7. Which polygon has 5 sides?

    • Quadrilateral
    • Pentagon
    • Hexagon
    • Octagon
  8. What is the sum of the exterior angles of any convex polygon?

    • 360 degrees
    • 720 degrees
    • 540 degrees
    • 180 degrees
  9. What is the sum of the interior angles of a hexagon?

    • 720 degrees
    • 900 degrees
    • 360 degrees
    • 540 degrees
  10. How many diagonals does a pentagon have?

    • 10
    • 2
    • 4
    • 5
  11. A trapezium has parallel sides of 8 cm and 12 cm and a perpendicular height of 5 cm. What is its area?

    • 100 cm²
    • 50 cm²
    • 20 cm²
    • 40 cm²
  12. A parallelogram has base 9 cm and perpendicular height 4 cm. What is its area?

    • 36 cm²
    • 72 cm²
    • 26 cm²
    • 13 cm²
  13. Which quadrilateral has rotational symmetry of order 2 but no lines of symmetry?

    • Isosceles trapezium
    • Kite
    • Rectangle
    • Parallelogram
  14. An isosceles triangle has two equal sides of 7 cm and a base of 5 cm. What is its perimeter?

    • 12 cm
    • 17 cm
    • 19 cm
    • 35 cm
  15. A right-angled isosceles triangle has one right angle. What are the other two angles?

    • 90 degrees each
    • 30 degrees each
    • 60 degrees each
    • 45 degrees each
  16. In an obtuse triangle two angles are 25 degrees and 30 degrees. What is the third angle?

    • 115 degrees
    • 155 degrees
    • 125 degrees
    • 65 degrees
  17. Which statement is true of every rhombus?

    • Adjacent angles are equal, so all four angles are 90 degrees
    • Its diagonals are equal in length and bisect each other
    • It has exactly one pair of parallel sides and equal diagonals
    • Opposite angles are equal and all four sides are equal
  18. A rectangle has a diagonal of 13 cm and a width of 5 cm. What is its length?

    • 18 cm
    • 8 cm
    • 144 cm
    • 12 cm
  19. A regular polygon has interior angles of 150 degrees. How many sides does it have?

    • 12 sides
    • 15 sides
    • 8 sides
    • 10 sides
  20. What is the sum of the interior angles of a nonagon?

    • 1620 degrees
    • 1260 degrees
    • 1440 degrees
    • 1080 degrees

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