Which of these conditions does not guarantee that a quadrilateral is a parallelogram? A. Both pairs of opposite angles are congruent. B. Both pairs of opposite sides are congruent. C. One pair of opposite sides is congruent and parallel. D. One pair of opposite sides is congruent.

Question

Mathematics

Brooke Clarke

18 July, 06:47

Which of these conditions does not guarantee that a quadrilateral is a parallelogram? A. Both pairs of opposite angles are congruent. B. Both pairs of opposite sides are congruent. C. One pair of opposite sides is congruent and parallel. D. One pair of opposite sides is congruent.

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Answers (1)

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Kaitlyn Mullen · Answer 1

Option D is the correct condition that gives 'One pair of opposite sides is congruent'.

Step-by-step explanation:

We have to select the condition from the four options that do not guarantee that a quadrilateral is a parallelogram.

Option D is the correct condition that gives 'One pair of opposite sides is congruent'.

This is because if one pair of opposite sides of the quadrilateral are congruent, then they may not be parallel and hence the quadrilateral may not be a parallelogram. (Answer)