Question

1. List the properties of a parallelogram

Answer 1

9514 1404 393

Answer:

1. see the list below
2. no
3. yes

Step-by-step explanation:

1. The dictionary definition of a parallelogram is ...

  a quadrilateral with opposite sides parallel

As a consequence of this condition, a number of additional properties arise:

• opposite sides are the same length
• opposite angles are congruent
• adjacent angles are supplementary
• diagonals bisect each other

__

2. The dictionary definition of a trapezoid (US; trapezium, UK) is ...

  a quadrilateral with one pair of parallel sides.

As a consequence of this condition, it is not possible for a trapezoid to be a parallelogram.

__

3. A rhombus is a special case of parallelogram in which all sides are the same length. A square is a special case of rhombus in which all angles are congruent (as are the diagonals). Yes, a rhombus may be a square.

Answer 2

$\displaystyle 2b.$ A rhombus can never be a square because although opposite interiour angles and all four sides are congruent, their interiour angles are not right angles.

$\displaystyle 2a.$ A trapezium is impossibly a parallelogram because a parallelogram has two pairs of parallel sides.

$\displaystyle 1.$ Convex polygon with two pairs of opposite sides that are parallel and congruent [equal in length (see above picture)]

I am joyous to assist you at any time.