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.

X

D ) All the above.

X

Explaination

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.

4 comments:

  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

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  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,
    Hardy!

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  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!

    Preston

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  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.

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