Which are true regarding the statement "A quadrilateral having exactly one pair of parallel opposite sides is a trapezoid”? Check all that apply.It is a conditional statement that can be written as “If a quadrilateral has exactly one pair of parallel opposite sides, then it is a trapezoid.”The hypothesis is: a quadrilateral having exactly one pair of parallel opposite sides.The hypothesis is: it is a trapezoid.The conclusion is: a quadrilateral having exactly one pair of parallel opposite sides.The conclusion is: it is a trapezoid.
Answer
A
It is a conditional statement that can be written as “If a quadrilateral has exactly one pair of parallel opposite sides, then it is a trapezoid.”
B
The hypothesis is: a quadrilateral having exactly one pair of parallel opposite sides.
C
The hypothesis is: it is a trapezoid.
D
The conclusion is: a quadrilateral having exactly one pair of parallel opposite sides.
E
The conclusion is: it is a trapezoid.
Explanation
The statement has the form “if [condition], then [result]”: If a quadrilateral has exactly one pair of parallel opposite sides, then it is a trapezoid. The hypothesis is the “if” part, so choice B is true; the conclusion is the “then” part, so choice E is true. Choice A correctly rewrites the statement as a conditional.
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