### Question 1,2 and 4 by Loh Ching Wei, Joshua

Question 4:
‘All parallelograms are squares?’ Do you agree with this statement?
Answer: No, I do not agree with this statement. There are other shapes that are parallelograms. They are the rectangle and the rhombus. The definition of parallelogram is that both pairs of opposite sides are parallel. This shows that rectangles and rhombi fit the definition as both pairs of their opposite sides are parallel thus, parallelograms consist of squares, rectangles and rhombi.

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

Answer: A square is a parallelogram. The definition of a parallelogram is a quadrilateral with both pairs of opposite sides parallel. This shows that A) and B) are correct. A trapezoid has no parallel sides in British English so C) is incorrect. This automatically proves that D) is incorrect. Conclusion, A) and B) are correct and C) and D) are incorrect.

Question 1:

‘A square is a rhombus but a rhombus is not a square’.

Answer: I do not agree with this statement. A square has four sides that are equal in length and the inner angles are 90°, a rhombus has four sides that are equal in length but the inner angles are not 90°. Conclusion, a square is not a rhombus and a rhombus is not a square.