Question

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

Answer 1

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.