This statement is correct as a rhombus has 2 pairs of opposite sides that are parallel, and all sides are equal, so does a square. Thus, a square is a rhombus. A rhombus is not a square as it does not have 4 right angles on each side where the lines meet like a square, although it has 2 pairs of opposite sides that are parallel, and all sides are equal, so does 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
I agree with statement D.
The reason for A is that both a square and a parallelogram have 4 sides closed up, with 4 angles, which qualifies them as quadrilaterals.
B is also true as the opposite sides of both a square and a parallelogram will never meet no matter how long it is.
C is correct as one pair of sides will not meet, while the other pair will meet up if it is drawn longer.
Question 4 : ‘All parallelograms are squares?’
I disagree with the statement above. The reason being that a square requires 4 EQUAL sides and all 4 angles of 90 degrees. The statement mentioned that ALL parallelograms are squares, but most parallelograms have 2 pairs of equal sides and 2 pairs of the same degree, which does not qualify as a square.