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If one pair of opposite sides of a quadrilateral is both congruent and __________, then the quadrilateral is a parallelogram.

A) perpendicular

B) parallel

C) increasing

D) decreasing

User Jon Uleis
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2 Answers

6 votes

Answer:

B) Parallel

Explanation:

For the opposite angles of the parallelogram to be equal, the sides making up the angles must be parallel to maintain this angle.

User Chojnicki
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4 votes

Answer:

B) parallel

Explanation:

If one pair of opposite sides of a quadrilateral is both congruent and parallel, then the quadrilateral is a parallelogram. This is because a parallelogram is defined as a quadrilateral with two pairs of parallel sides.

The other options are not correct:

  • A) perpendicular: A parallelogram does not have to have perpendicular sides.
  • C) increasing: A parallelogram does not have to have increasing sides.
  • D) decreasing: A parallelogram does not have to have decreasing sides.

Note:

The opposite sides of the parallelogram are both congruent and parallel.

User Osie
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