Questions: course.apexlearning.com Apex Learning em 1 (2023) Pretest: Unit 5 Question 21 of 27 Which of the following is a valid reason why the quadrilateral shown below is a parallelogram? A. Both pairs of opposite sides are parallel. B. The diagonals bisect each other. C. The diagonals are congruent. D. Both pairs of opposite sides are congruent. SUBMIT PREVIOUS

course.apexlearning.com Apex Learning em 1 (2023) Pretest: Unit 5 Question 21 of 27 Which of the following is a valid reason why the quadrilateral shown below is a parallelogram? A. Both pairs of opposite sides are parallel. B. The diagonals bisect each other. C. The diagonals are congruent. D. Both pairs of opposite sides are congruent. SUBMIT PREVIOUS
Transcript text: course.apexlearning.com Apex Learning em 1 (2023) Pretest: Unit 5 Question 21 of 27 Which of the following is a valid reason why the quadrilateral shown below is a parallelogram? A. Both pairs of opposite sides are parallel. B. The diagonals bisect each other. C. The diagonals are congruent. D. Both pairs of opposite sides are congruent. SUBMIT PREVIOUS
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Solution

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Which of the following is a valid reason why the quadrilateral shown below is a parallelogram?

Analyze the given quadrilateral

The given quadrilateral has its diagonals intersecting at a point. The diagonals are divided into two congruent segments by the intersection point. This implies that the diagonals bisect each other.

Relate the property to parallelograms

One of the properties of parallelograms is that their diagonals bisect each other. Since the diagonals of the given quadrilateral bisect each other, the quadrilateral is a parallelogram.

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\(\boxed{B}\)

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