Question 1,2,4 By Lionel

Sorry for the late submission
Question 1:
For a shape to be a square, it must have :
- 4 equal sides
- 2 pairs of parallel lines
- All the angles must be right angles
For a shape to be a rhombus, it must have :
- Opposite angles must be equal and can vary from one degree to 179 degree (The angles need not be right angles)
- 4 equal sides
- 2 pairs of parallel lines
So, rhombus and squares are similar but not the same. If a rhombus has right angles, it can be considered a square and a rhombus, but a square cannot be a rhombus because the angles of a square must be right angles or it will not be a square.
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.



A) A shape being a quadrilateral means that it has four sides. Both a square and a parallelogram have four sides, making the quadrilaterals.

B) One of the rules that make a shape a square or a parallelogram is that there must be 2 pair of parallel lines.

C) A trapezoid does not have any pair of parallel lines at all.

D) If statement C is incorrect, statement D would be incorrect, as not all of the statements are correct.

Question 4

Parallelograms are not squares, as parallelogram's angles may not be right angles but a square's angles must be right angles.


  1. Lionel
    Well done for the explanation! Well explained and very succinct. The one thing that I think you should improve on is to put in one or two pictures. Nevertheless, well done indeed.

    Done by Christopher John and Jun Hong

  2. Hello Lionel,

    Good job with the explanations. However, I believe that you made a mistake for 'C'. A trapezoid does have at least one parallel lines. Thus, I disagree that C is incorrect. Leaving that D is correct.

    Good Job though,

  3. Hi Lionel,
    Excellent work with the explanations. But just to correct your explanation for C, a trapeziod has a pair of parallel line. Maybe you can double-check for images of the trapezoid online, if you have any doubts. But anyways, Good job!


  4. Hi Lionel,

    your explanation was good and quite detailed. The concepts were well applied to the questions. Just a reminder that a trapezium does have one pair of parallel lines.