Questions: Which statement best describes the trapezoid shown above? A It has one pair of parallel sides and one right angle. B It has exactly one pair of parallel sides. C It has two pairs of parallel sides. D It has two right angles.

Which statement best describes the trapezoid shown above?

A It has one pair of parallel sides and one right angle.

B It has exactly one pair of parallel sides.

C It has two pairs of parallel sides.

D It has two right angles.
Transcript text: Which statement best describes the trapezoid shown above? A It has one pair of parallel sides and one right angle. B It has exactly one pair of parallel sides. C It has two pairs of parallel sides. D It has two right angles.
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Solution

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The answer is B: It has exactly one pair of parallel sides.

Explanation for each option:

A. It has one pair of parallel sides and one right angle.

  • This option is incorrect because a trapezoid is defined by having only one pair of parallel sides, but it does not necessarily have a right angle. A right angle is not a defining characteristic of a trapezoid.

B. It has exactly one pair of parallel sides.

  • This option is correct. By definition, a trapezoid is a quadrilateral with exactly one pair of parallel sides.

C. It has two pairs of parallel sides.

  • This option is incorrect because a quadrilateral with two pairs of parallel sides is a parallelogram, not a trapezoid.

D. It has two right angles.

  • This option is incorrect because having two right angles is not a defining characteristic of a trapezoid. A trapezoid can have right angles, but it is not required to have them.

In summary, the defining feature of a trapezoid is that it has exactly one pair of parallel sides, making option B the correct choice.

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