Question

Which description does NOT guarantee that a quadrilateral is a square? a) It is both a rectangle and rhombus. b) It is a parallelogram with perpendicular diagonals. c) All of its sides are congruent, and all of its angles are congruent. d) It has all right angles, and all of its sides are congruent.

Answer 1

Answer:. b) It is a parallelogram with perpendicular diagonals.

Explanation:

The properties of square are :-

• Its all sides are congruent.
• Its all angles are right angles.
• Both the opposite sides are parallel to each other.
• The diagonals are congruent.
• The diagonals are perpendicular to and bisect each other.
• A square is a special kind of parallelogram whose all angles and sides are equal congruent.

Only option b) does NOT guarantee that a quadrilateral is a square.

Since it can be rhombus because it is the property for rhombus also.

Answer 2

The correct answer is:

B) It is a parallelogram with perpendicular diagonals.

Explanation:

A parallelogram whose diagonals are perpendicular is a rhombus or a square. If there is no information about the angles of the quadrilateral, we cannot say for certainty that it is a square.