3. Compare properties of quadrilaterals by answering each question. Write a brief explanation for each answer.

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

(b) Describe a property of squares that is not a property of rhombi.

(c) Describe a property of rectangles that is also a property of parallelograms.

(d) Describe a property of rectangles that is not a property of parallelograms.

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Answer:

(a) Describe a property of squares that is also a property of rhombi =

  • The sides are the same length. The opposite angles are equal.
  • Each of the diagonals is the same length and intersects at right angles to each other.
  • The point of intersection of the diagonals divides the diagonal into two equal parts.
  • Has two axes of symmetry.
  • Can be framed with exactly four ways.
  • Has a half-turn symmetry.

(b) Describe a property of squares that is not a property of rhombi =

  • Has 4 axes of symmetry and rotational symmetry level 4
  • Can occupy it in 8 ways
  • All four sides are the same length (AB = SM = CD = AD)
  • Parallel sides (AB // CD and BC // AD)
  • Each angle is the same size as a square
  • The diagonals are the same length (BD = AC)
  • The diagonals intersect at right angles and bisect the length (AO = OC = BO = OD)

(c) Describe a property of squares that is not a property of rhombi =

  • Opposite sides are parallel and the same length (AB = DC and AB // DC, AD = BC and AD // BC) The opposite angles are equal ( and).
  • Two adjacent angles are 180o or are complementary.
  • Sum of all angles = 360o Its diagonals divide the parallelogram into two equal parts.

(d) Describe a property of rectangles that is not a property of parallelograms =

  • Has four sides that are the same length.
  • Has four right angles.
  • Has two diagonals that intersect at right angles to each other.
  • Has quadruple symmetry rectangular.