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Compare properties of squares and rhombi to properties of other quadrilaterals by answering each question.

(a) Describe a property of squares that is also a property of rectangles.

(b) Describe a property of squares that is NOT necessarily a property of all rectangles.

(c) Describe a property of rhombi that is also a property of squares.

(d) Describe a property of rhombi that is NOT necessarily a property of all parallelograms.

(e) Describe a property that applies to ALL parallelograms.

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Answer:

(a) Describe a property of squares that is also a property of rectangles.

  • All the angles of a rectangle are 90°
  • Diagonals of a rectangle bisect each other

(b) Describe a property of squares that is NOT necessarily a property of all rectangles.

  • All sides of a square are equal and parallel to each other

(c) Describe a property of rhombi that is also a property of squares.

  • Diagonals bisect each other perpendicularly

(d) Describe a property of rhombi that is NOT necessarily a property of all parallelograms.

  • All sides are equal
  • Diagonals bisect each other perpendicularly

(e) Describe a property that applies to ALL parallelograms.

  • Opposite angles are equal
  • Opposite sides are equal and parallel
  • Diagonals bisect each other
  • Sum of any two adjacent angles is 180°

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