High School

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Which statement describes a parallelogram that must be a square?

A. A parallelogram with opposite sides that are congruent and diagonals that bisect the angles.

B. A parallelogram with a right angle and opposite sides that are congruent.

C. A parallelogram with a right angle and diagonals that bisect the angles.

D. A parallelogram with all sides congruent.

Answer :

Answer:

Option 3 is correct.

Step-by-step explanation:

we have to select the statement which describe a parallelogram that must be square.

A square has all sides congruent and all angles 90°

In the third option

A parallelogram with a right angle and diagonals that bisect the angles.

Here, diagonals bisect the angles and all angles 90° which means base angles at the diagonals are of 45° both which makes the triangle isosceles and hence adjacent sides becomes equal.

which implies all sides becomes equal and all angles are congruent and of 90° . These properties are sufficient to call parallelogram a square.

Hence, Option 3 is correct.

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Rewritten by : Jeany