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Gr 10 Math Ch 6: Quadrilaterals
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Gr 10 Math Ch 6: Quadrilaterals

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@RaptOganesson

Questions and Answers

What property is true regarding the diagonals of a kite?

  • Diagonals bisect each other.
  • Diagonals are equal in length.
  • Diagonals create obtuse angles.
  • Diagonals intersect at 90°. (correct)

    • Which of the following statements is not true about a square?

  • A square is a type of rhombus.
  • A square has unequal sides. (correct)
  • A square has four right angles.
  • A square is a type of rectangle.

    • Which characteristic is associated with the relationship between a rhombus and a rectangle?

  • Both have all sides unequal.
  • Both have equal angles.
  • Both are types of trapeziums.
  • Both are types of parallelograms. (correct)

    • Which type of quadrilateral has two pairs of adjacent sides equal?

    <p>Kite</p> Signup and view all the answers

    What is a defining feature of a parallelogram?

    <p>Opposite angles are equal and consecutive angles are supplementary.</p> Signup and view all the answers

    In which category does a trapezium fall?

    <p>It is a type of quadrilateral.</p> Signup and view all the answers

    What is a key property that distinguishes a rhombus from other types of parallelograms?

    <p>All sides are of equal length.</p> Signup and view all the answers

    Which of the following statements about rectangles is incorrect?

    <p>The diagonals bisect each other at 90°.</p> Signup and view all the answers

    What is true of a square that makes it a specific type of rectangle?

    <p>All four angles are equal to 90°.</p> Signup and view all the answers

    Which of these properties is unique to a trapezium?

    <p>It has one pair of opposite sides parallel.</p> Signup and view all the answers

    Which quadrilateral always has diagonals that bisect each other at right angles?

    <p>Kite</p> Signup and view all the answers

    In what way are the properties of a quadrilateral related directly to its angles?

    <p>The sum of the interior angles is 360°.</p> Signup and view all the answers

    Which characteristic is shared by both rectangles and squares?

    <p>Both pairs of opposite sides are parallel.</p> Signup and view all the answers

    Which quadrilateral can be defined by having two pairs of adjacent sides that are equal?

    <p>Kite</p> Signup and view all the answers

    What characteristic do the diagonals of a kite possess?

    <p>One diagonal bisects the other.</p> Signup and view all the answers

    Which statement best describes the relationship between rectangles and squares?

    <p>A square is a special type of rectangle.</p> Signup and view all the answers

    Which of the following properties is shared by all parallelograms?

    <p>Opposite angles are equal.</p> Signup and view all the answers

    Which quadrilateral possesses only one pair of parallel sides?

    <p>Trapezium</p> Signup and view all the answers

    Which statement accurately describes the diagonals of a kite?

    <p>The diagonals intersect at right angles.</p> Signup and view all the answers

    What defines a rhombus as a specific type of parallelogram?

    <p>All sides are of equal length.</p> Signup and view all the answers

    What is the sum of the interior angles of a quadrilateral?

    <p>360°</p> Signup and view all the answers

    Which statement accurately describes the properties of a rectangle?

    <p>All interior angles are equal to 90°.</p> Signup and view all the answers

    Which quadrilateral specifically has all sides of equal length and its diagonals bisect each other at 90°?

    <p>Rhombus</p> Signup and view all the answers

    What is a defining feature of a trapezium?

    <p>Only one pair of opposite sides is parallel.</p> Signup and view all the answers

    In which quadrilateral do both diagonals bisect each other and are equal in length?

    <p>Square</p> Signup and view all the answers

    Which property is unique to a rhombus compared to other quadrilaterals?

    <p>All sides are equal in length.</p> Signup and view all the answers

    Which of the following quadrilaterals can be classified as a trapezium?

    <p>Trapezoid</p> Signup and view all the answers

    What special characteristic is true of a square that distinguishes it from a rectangle?

    <p>All sides are equal in length.</p> Signup and view all the answers

    Which statement is true regarding the angles of a kite?

    <p>Only one pair of opposite angles are equal.</p> Signup and view all the answers

    Which property does NOT apply to a parallelogram?

    <p>Diagonals intersect at 90°.</p> Signup and view all the answers

    What distinguishes a square from a rectangle?

    <p>All sides are equal in length.</p> Signup and view all the answers

    Which of the following quadrilaterals can have diagonals that are not equal in length?

    <p>Kite</p> Signup and view all the answers

    Which of the following statements correctly describes a trapezium?

    <p>It can have both pairs of sides unequal.</p> Signup and view all the answers

    In which type of quadrilateral are the diagonals guaranteed to intersect at right angles?

    <p>Kite</p> Signup and view all the answers

    Which of the following properties is true for a rhombus but not necessarily for a rectangle?

    <p>The diagonals bisect both pairs of opposite angles.</p> Signup and view all the answers

    In which type of quadrilateral is it false that opposite sides are necessarily equal in length?

    <p>Trapezium</p> Signup and view all the answers

    Which statement accurately reflects a property that distinguishes a square from a rhombus?

    <p>All angles are right angles.</p> Signup and view all the answers

    Which type of quadrilateral must have diagonals that bisect each other at right angles?

    <p>Square</p> Signup and view all the answers

    Which characteristic is unique to rectangles but not shared with rhombuses?

    <p>Diagonals are equal in length.</p> Signup and view all the answers

    What is the defining property of a kite compared to other quadrilaterals?

    <p>Two pairs of adjacent sides are equal.</p> Signup and view all the answers

    Which property is true for all parallelograms?

    <p>Both pairs of opposite angles are equal.</p> Signup and view all the answers

    Which type of quadrilateral may have unequal lengths of sides but still have one pair of parallel sides?

    <p>Trapezium</p> Signup and view all the answers

    What unique property do the diagonals of a kite possess in relation to the interior angles?

    <p>They bisect the interior angles forming right angles.</p> Signup and view all the answers

    Which of the following statements accurately describes the relationship between the types of quadrilaterals?

    <p>A rectangle cannot be a square.</p> Signup and view all the answers

    Which quadrilateral is characterized by having two pairs of adjacent sides that are equal but not necessarily equal to each other?

    <p>Kite</p> Signup and view all the answers

    In what way do the properties of a square differ from those of a rhombus?

    <p>A square has equal angles of 90 degrees.</p> Signup and view all the answers

    Which property differentiates a trapezium from kites and other quadrilaterals?

    <p>It has at least one pair of parallel sides.</p> Signup and view all the answers

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