Question

The counter example to disprove that 'A quadilateral with four congruent sides is a square' is

• A. Two triangles with same angles and same sides.
• B. Sides are equal but all the angles need not be 90 degrees each.
• C. Both A and B
• D. Neither A nor B

Answer 1

The correct option is B Sides are equal but all the angles need not be 90 degrees each.

In the given quadrilateral $ABCD$:

$AB=BC=CD=DA$

But neither of $\angle A,\angle B,\angle C,\angle D$ is equal to ${90}^o$.

So the counter example to disprove that 'A quadrilateral with four congruent sides is a square' is sides are equal but all the angles need not be $90$ degrees each.