Ans: The statement: ‘A square is a rhombus but a rhombus is not a square’ is correct. A rhombus is a parallelogram with 4 equal sides but the angles inside the rhombus need not all be equal. A square is a type of rhombus that has equal angles inside of the square. So a square can be a rhombus but a rhombus can’t be a square.
Ans: D, all of the above statements are correct. A quadrilateral is a shape with 4 sides. Both a square and parallelogram have 4 sides so they are quadrilaterals, statement A is therefore correct. A parallelogram is a quadrilateral which has two sets of parallel lines opposite each other and a square is a type of parallelogram so statement B is correct. A trapezoid is a quadrilateral with only one pair of parallel lines so statement C is correct.
Ans: I disagree with the statement. A square is a type of parallelogram with 4 equal sides and 4 equal inner angles. A quadrilateral need not have 4 equal sides and 4 equal inner angles to be a parallelogram. So the statement is wrong.