Which of the following statements is (are) true?
A. Every rhombus is a square
B. Every square is a parallelogram
C. Every parallelogram is rhombus
D. Every rectangle is a square
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → B only
A statement “every X is a Y” is true only if every property that defines Y holds for every X.
A. Every rhombus is a square Incorrect. A rhombus has four equal sides, but its angles need not be right angles; a square needs both.
B. Every square is a parallelogram Correct. In a square, both pairs of opposite sides are parallel, which is all a parallelogram needs.
C. Every parallelogram is rhombus Incorrect. A parallelogram’s adjacent sides need not be equal; a rectangle 6 cm by 4 cm is a parallelogram but not a rhombus.
D. Every rectangle is a square Incorrect. A rectangle has four right angles, but its adjacent sides need not be equal.