Quadrilaterals Types and Properties
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Questions and Answers

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

  • 270 degrees
  • 180 degrees
  • 360 degrees (correct)
  • 450 degrees

    • What is a characteristic of a rhombus?

  • All angles are obtuse
  • All sides are of equal length (correct)
  • All angles are right angles
  • Diagonals are perpendicular

    • What is the formula to calculate the area of a quadrilateral?

  • Area = b + h
  • Area = b × h
  • Area = b - h
  • Area = (b × h) / 2 (correct)

    • What is a kite?

    <p>A quadrilateral with two pairs of adjacent sides of equal length (B)</p> Signup and view all the answers

    What can be said about the diagonals of a quadrilateral?

    <p>They intersect each other, and the sum of the lengths of the diagonals is greater than the sum of the lengths of any two opposite sides (C)</p> Signup and view all the answers

    What is the Midpoint Theorem related to?

    <p>The line segment joining the midpoints of two sides of a quadrilateral (B)</p> Signup and view all the answers

    Study Notes

    Quadrilaterals

    Definition

    • A quadrilateral is a polygon with four sides and four vertices.

    Types of Quadrilaterals

    • A rectangle is a quadrilateral with all angles being right angles (90 degrees) and opposite sides of equal length.
    • A square is a quadrilateral with all angles being right angles (90 degrees) and all sides of equal length.
    • A rhombus is a quadrilateral with all sides of equal length, but not necessarily right angles.
    • A trapezoid (or trapezium) is a quadrilateral with at least two pairs of opposite sides that are not equal in length.
    • A kite is a quadrilateral with two pairs of adjacent sides of equal length, and one pair of opposite angles that are equal.
    • An irregular quadrilateral is a quadrilateral that does not fit into any of the above categories.

    Properties of Quadrilaterals

    • The sum of the interior angles of a quadrilateral is always 360 degrees.
    • The diagonals of a quadrilateral intersect each other, and the sum of the lengths of the diagonals is greater than the sum of the lengths of any two opposite sides.

    Theorems and Formulae

    • The midpoint theorem states that the line segment joining the midpoints of two sides of a quadrilateral is parallel to the third side and half its length.
    • The area of a quadrilateral can be calculated using the formula: Area = (b × h) / 2, where b is the base and h is the height.

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    Description

    Learn about the definition and types of quadrilaterals, including rectangles, squares, rhombi, and trapezoids.

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