E-Learning Activity 3 Karan Sarat

A square is a rhombus but a rhombus is not a square

This statement is partially correct. The first
 part is correct. A rhombus is a parallelogram(all sides are parallel) but all sides are equal. A square also has equal, parallel sides which makes it a rhombus. So you cannot say that a rhombus is not a square, but you can say that not all rhombuses are squares.
A ) A square and a parallelogram are quadrilaterals.
Yes. They both have 4-sides, which where the word 'quad' come in.

B ) Opposite sides of a square and a parallelogram are parallel.
Yes it is true. If you draw a line from one of the sides to the otherside straight down, the lines would be perpendicular.

C ) A trapezoid has one pair of parallel sides.
Yes. 1 pair of sides would be  parallel, but the other sides would not.

D ) All the above
All of the above statements are correct.

‘All parallelograms are squares?’ Do you agree with this statement?

No. Squares can be parallelograms as all sides of the square are parallel. However, not all
parallelograms are squares as there are parallelograms with different lengths, widths and angles. A square has to have equal sides always, and every angle in the square has to be 90 degrees. Thus the statement is not correct.


  1. Hi Karan,
    I like your response to question 4.
    Can I say that a square is a rectangle too?

    Comment: #10

  2. The rectangle is a quadrilateral with opposite sides which are equal, and 4 equal angles.The square also has equal opposite sides and 4 equal angles of 90 degrees. So a square is a rectangle too.

  3. Good job. I can understand how you answer the question

  4. I agree with 2010 108maths... Is it true that a square is a rectangle?

  5. Hello Karan,

    Great effort put in! Good job! However, you mentioned that 'you cannot say that a rhombus is not a square'. I quite disagree with you. When they meant rhombus, I think they mean the generally termed rhombus that does not have right angles like a square. I believe they are right to say 'A square is a rhombus but a rhombus is not a square'. But, it all comes down to personal perspective. Good job with this post though! Keep it up!