Quadrilaterals: Rectangles and Squares
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Questions and Answers

What is a characteristic of a rectangle?

  • All sides are equal in length
  • Diagonals are perpendicular
  • Opposite sides are equal in length (correct)
  • All internal angles are acute

    • Which of the following is a true statement about a square?

  • All internal angles are acute
  • All sides are of different lengths
  • Diagonals are equal in length and bisect each other at 90° (correct)
  • Opposite sides are not parallel

    • What is a characteristic of a trapezoid?

  • One pair of opposite sides is parallel (correct)
  • All sides are equal in length
  • All internal angles are right angles
  • Diagonals are perpendicular

    • Which of the following is a type of trapezoid?

    <p>Isosceles trapezoid</p> Signup and view all the answers

    What is a characteristic of a kite?

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

    Which of the following is a type of kite?

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

    What is a characteristic of a rhombus?

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

    Which of the following is a true statement about a rhombus?

    <p>Diagonals are perpendicular and bisect each other at 90°</p> Signup and view all the answers

    Study Notes

    Quadrilaterals

    Rectangles

    • A rectangle is a quadrilateral with four right angles (90°)
    • All sides are not equal in length
    • Opposite sides are equal in length
    • Diagonals are equal in length
    • Can be a square if all sides are equal

    Squares

    • A square is a rectangle with all sides of equal length
    • All internal angles are right angles (90°)
    • All sides are equal in length
    • Diagonals are equal in length and bisect each other at 90°
    • A square is a special type of rectangle and rhombus

    Trapezoids

    • A trapezoid is a quadrilateral with two pairs of opposite sides
    • One pair of opposite sides is parallel (called bases)
    • The other pair of opposite sides is not parallel (called legs)
    • Can be classified as:
      • Isosceles trapezoid: legs of equal length
      • Scalene trapezoid: all sides of different lengths

    Kites

    • A kite is a quadrilateral with two pairs of adjacent sides of equal length
    • One pair of opposite angles is equal
    • The diagonals are perpendicular and one diagonal bisects the other
    • Can be classified as:
      • Rhombus kite: all sides of equal length
      • Non-rhombus kite: not all sides of equal length

    Rhombi

    • A rhombus is a quadrilateral with all sides of equal length
    • Opposite sides are parallel and opposite angles are equal
    • Diagonals are perpendicular and bisect each other at 90°
    • Can be a square if all internal angles are right angles (90°)

    Quadrilaterals

    Rectangles

    • Have four right angles (90°)
    • Opposite sides are equal in length
    • Diagonals are equal in length
    • Can be a square if all sides are equal

    Squares

    • Are rectangles with all sides of equal length
    • Have all internal angles of 90°
    • All sides are equal in length
    • Diagonals are equal in length and bisect each other at 90°
    • Are a special type of rectangle and rhombus

    Trapezoids

    • Have two pairs of opposite sides
    • One pair of opposite sides is parallel (bases)
    • The other pair of opposite sides is not parallel (legs)
    • Can be isosceles (legs of equal length) or scalene (all sides of different lengths)

    Kites

    • Have two pairs of adjacent sides of equal length
    • One pair of opposite angles is equal
    • Diagonals are perpendicular and one diagonal bisects the other
    • Can be a rhombus kite (all sides of equal length) or non-rhombus kite (not all sides of equal length)

    Rhombi

    • Have all sides of equal length
    • Opposite sides are parallel
    • Opposite angles are equal
    • Diagonals are perpendicular and bisect each other at 90°
    • Can be a square if all internal angles are 90°

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    Description

    Learn about the properties of rectangles and squares, including their angles, side lengths, and diagonals. Identify the differences and similarities between these two types of quadrilaterals.

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