Gr 10 Math Ch 6: Quadrilaterals
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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 (C)</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. (A)</p> Signup and view all the answers

In which category does a trapezium fall?

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

Which of the following statements about rectangles is incorrect?

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

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

<p>Kite (B), Rhombus (C)</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°. (A)</p> Signup and view all the answers

Which characteristic is shared by both rectangles and squares?

<p>Both pairs of opposite sides are parallel. (C), Diagonals are equal in length. (D)</p> Signup and view all the answers

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

<p>Kite (B)</p> Signup and view all the answers

What characteristic do the diagonals of a kite possess?

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

Which of the following properties is shared by all parallelograms?

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

Which quadrilateral possesses only one pair of parallel sides?

<p>Trapezium (C)</p> Signup and view all the answers

Which statement accurately describes the diagonals of a kite?

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

What defines a rhombus as a specific type of parallelogram?

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

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

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

Which statement accurately describes the properties of a rectangle?

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

What is a defining feature of a trapezium?

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

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

<p>Square (D)</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. (A)</p> Signup and view all the answers

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

<p>Trapezoid (D)</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. (C)</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. (B)</p> Signup and view all the answers

Which property does NOT apply to a parallelogram?

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

What distinguishes a square from a rectangle?

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

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

<p>Kite (D)</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. (A)</p> Signup and view all the answers

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

<p>Kite (A)</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. (D)</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 (A)</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. (D)</p> Signup and view all the answers

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

<p>Square (D)</p> Signup and view all the answers

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

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

Which property is true for all parallelograms?

<p>Both pairs of opposite angles are equal. (A)</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 (D)</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. (B)</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. (D)</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 (C)</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. (D)</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. (B)</p> Signup and view all the answers

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