Question

As per the given diagram below, which of the following statement is correct.

• A. All rhombuses are squares
• B. Every parallelogram is a rhombus
• C. None of the above
• D. All rectangles are parallelograms

Answer 1

The correct option is D All rectangles are parallelograms

a. As per the property of parallelogram, opposite angles are equal. Whereas, in rhombus, all sides and opposite angles are equal. A rhombus is a type of parallelogram in which adjacent sides are equal. So, every parallelogram is a rhombus is an incorrect statement.

b. In a square, all angles are equal & each angle measures to 90°. Whereas, in rhombus opposite angles are equal. Every square satisfies the property of rhombus. So, all rhombuses are squares are incorrect statement.

c. In a rectangle, all angles are equal & each angle measures to 90°. Whereas, in parallelograms opposite angles are equal. Rectangle is a type of quadrilateral in which each angle measures to 90°. So, all rectangles are parallelograms is the correct statement.