Question 2, 4 and 5 by Soh Fan

Question 2:

Which of the given statements is correct? Justify your answer/s with examples.

A ) A square and a parallelogram are quadrilaterals.

B ) Opposite sides of a square and a parallelogram are parallel.

C ) A trapezoid has one pair of parallel sides.

D ) All the above

Ans: D) All of the above. A square and a parallelogram are quadrilaterals as they have four sides and the sides are straight lines.The o

pposite sides of a square and a parallelogram are parallel and a
trapezoid has one pair of parallel sides. These are some of the properties of these quadrilaterals.

Question 4:
‘All parallelograms are squares?’ Do you agree with this statement?
Ans: Not all parallelograms are square. Parallelograms are only square if all sides are of equal length and the interior angles are 90 degree.

Question 5:

ABCD is a parallelogram. If E is midpoint of AD and F is midpoint of BC show, with reasons, that BFDE must be a parallelogram.

Ans: Length BF and ED are equal as they cut off at on the sides parallel to each other. Thus the lines connected to them would also be parallel with equal lengths and thus BFDE must be a parallelogram.