Questions 1, 2 and 4 by Catherine Lim Kai Ting

Q1... 'A square is a rhombus but a rhombus is not a square'.

Technically, that sentence is correct as square has four sides and all four sides have the same length and it is the same for a rhombus except that a rhombus need not be made up of four right-angles (perpendicular lines).

Q2... Which of the given statements is correct? Justify your answer/s with examples.

A ) A square and a parallelogram are quadrilaterals.
- This statement is correct as the meaning of quadrilaterals is a figure with four sides and a square and a parallelogram both have four sides.

B ) Opposite sides of a square and a parallelogram are parallel.
- This statement is also correct as squares are made up of two parallel lines and a parallelogram is also made up of two parallel lines.

C ) A trapezoid has one pair of parallel sides.
- Trapezoid is a type of quadrilateral with a set of parallel line. The other two lines are vertical and diagonal and cannot be considered a second set of parallel line.

D ) All the above

Hence, the answer is D, all of the above.

Q4... 'All parallelograms are squares?' Do you agree with this statement?

No, I do not agree with the statement. Parallelograms is a shape that is made up of two parallel lines which may or may not be of the same length. A square is also made up of two parallel lines but they are of the same length.

:P Sorry for submitting this work late. I hope the answers are right and you are satisfied with them :)