Question

Every square is a rhombus, but every rhombus is not a square.
The statement is

• A. True
• B. False
• C. partially true

Answer 1

The correct option is A True

For a quadrilateral to be a rhombus

• It's all sides should be equal.
• It's opposite angles should be equal and sum of adjacent angles should be ${180}^{\circ }$
• It's diagonals should bisect each other at right angle.

Squares is the only other quadrilateral which fits into all properties of rhombus.

$\therefore$ Every square is a rhombus.

For a quadrilateral to be a square

• it's all sides should be equal.
• it's all angles should be equal to ${90}^{\circ }$
• It's diagonals should bisect each other at right angle.

In a rhombus all sides are equal but all angles may not be equal as depicted in below figures,

• Rhombus with equal opposite angle

Therefore, every rhombus is not a square.

Hence, given statement is true.