Justify your answer with example/s.
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
Answer: A square is a parallelogram. The definition of a parallelogram is a quadrilateral with both pairs of opposite sides parallel. This shows that A) and B) are correct. A trapezoid has no parallel sides in British English so C) is incorrect. This automatically proves that D) is incorrect. Conclusion, A) and B) are correct and C) and D) are incorrect.
‘A square is a rhombus but a rhombus is not a square’.
Answer: I do not agree with this statement. A square has four sides that are equal in length and the inner angles are 90°, a rhombus has four sides that are equal in length but the inner angles are not 90°. Conclusion, a square is not a rhombus and a rhombus is not a square.