High School

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Which statement describes a parallelogram that must be a square?

A. A parallelogram with a pair of congruent consecutive sides and diagonals that bisect each other.

B. A parallelogram with a pair of congruent consecutive sides and diagonals that are congruent.

C. A parallelogram with a right angle and diagonals that are congruent.

D. A parallelogram with diagonals that bisect each other.

Answer :

Answer: B. A parallelogram with a pair of congruent consecutive sides and diagonals that are congruent.

Step-by-step explanation:

We know that a parallelogram is a quadrilateral having congruent opposite sides and its diagonals bisect each other.

A square is a kind of parallelogram having all its consecutive sides equal and both diagonals congruent to each other.

Its all 4 angles are right angle.

let's check all the statements :

A. A parallelogram with a pair of congruent consecutive sides and diagonals that bisect each other.

→It can be rhombus ∵ it also has same characteristics.

B. A parallelogram with a pair of congruent consecutive sides and diagonals that are congruent.

→ It only occurs in square.

C. A parallelogram with a right angle and diagonals that are congruent
.

→ it can be a rectangle ∵ it has all its angles right angle and diagonals are congruent.

D. A parallelogram with diagonals that bisect each other.

→ It is the basic property of parallelogram , it can describe a rhombus or rectangle both.

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Rewritten by : Jeany