Which of the following is true statement ?
I) A Rhombus is a parallelogram with four equal sides.
II) A Trapezium is a quadrilateral with atleast one pair of parallel sides.
(A) I is true (B) II is true (C) I, II are true (D) I, II are false
Answers
1 (false) because a rhombus does not have four equal sides
2 (true) because trapezium have only one pair of parallel sides
Answer:
(C) I, II are true
Explanation:
A parallelogram is a four sided polygon/ quadrilateral with the two pairs of parallel sides.
rhombus, rectangles and squares are all special parallelograms with some additional properties.
Rhombus refers to a parallelogram with not just opposite sides but all four sides equal to each other.
So, the first statement is correct.
A trapezium (also known as trapezoid) refers to a four sided polygon( quadrilateral ) with at least one pair of side parallel.
So, the second statement is also true.
Note: one may find different definition of a trapezium. One another definition is:
A trapezium refers to a quadrilateral with only one pair parallel side.
So, if we consider the second definition of trapezium, then we get the answer as ( A) I is true.