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What is the converse of the conditional statement?

"If a quadrilateral has exactly one pair of parallel sides, then it is a trapezoid."
Responses

A. If a quadrilateral is not a trapezoid, then it does not have exactly one pair of parallel sides.
B. If a quadrilateral does not have exactly one pair of parallel sides, then it is not a trapezoid.
C. If a quadrilateral does not have exactly one pair of parallel sides, then it is a trapezoid.
D. If a quadrilateral is a trapezoid, then it has exactly one pair of parallel sides.

Respuesta :

semsee45

Answer:

D.  If a quadrilateral is a trapezoid, then it has exactly one pair of parallel sides.

Step-by-step explanation:

The converse of a statement is formed by switching the hypothesis and the conclusion.

  • Hypothesis:  The part after the "if".
  • Conclusion:  The part after the "then".

Given statement:

  • "If a quadrilateral has exactly one pair of parallel sides, then it is a trapezoid."

Therefore:

  • Hypothesis:  "a quadrilateral has exactly one pair of parallel sides"
  • Conclusion:  "it is a trapezoid."

Converse statement:

  • "If a quadrilateral is a trapezoid, then it has exactly one pair of parallel sides."

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