Which are true regarding the statement "A quadrilateral having exactly one pair of parallel opposite sides is a
trapezoid"? Check all that apply.

Question

14-12-2019
Mathematics

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Which are true regarding the statement "A quadrilateral having exactly one pair of parallel opposite sides is a
trapezoid"? Check all that apply.

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SaniShahbaz SaniShahbaz · Answer 1 · 2019-12-26T23:03:02+01:00

Answer:

The correct statement should be:

"A trapezoid has exactly one pair of parallel sides if and only if it is a quadrilateral".

Step-by-step explanation:

As the statement tells us that:

"A quadrilateral is a trapezoid if and only if it has exactly one pair of parallel sides".

So, a trapezoid has exactly one pair of parallel sides if and only if it is a quadrilateral. The reason is very straightforward.

Why trapezoid has exactly one pair of parallel sides if and only if it is a quadrilateral has the reason as other certain quadrilaterals such as parallelogram, rectangle, square, Kite and rhombus can also be termed as trapezoid.

If the quadrilateral had only singe pair of parallel sides, it would be a trapezoid as shown in attached figure (a). On the other hand, if both pairs of sides are parallel, it will be a parallelogram.

In a nutshell, trapezoid is a special kind of name that is given to quadrilateral that has only one pair of parallel sides.

So, out of all the options, the correct statement should be:

"A trapezoid has exactly one pair of parallel sides if and only if it is a quadrilateral".

Keywords: trapezoid, quadrilateral

Learn more about trapezoid from brainly.com/question/12854321

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jadec098 jadec098 · Answer 2 · 2020-09-13T01:04:24+02:00

jadec098 jadec098

13-09-2020

Answer:

A) It is a conditional statement that can be written as "If a quadrilateral having 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.

E) The conclusion is: it is a trapezoid.

Step-by-step explanation:

Just did this on Edge2020, hope this helps! :)

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Which are true regarding the statement "A quadrilateral having exactly one pair of parallel opposite sides is a trapezoid"? Check all that apply.

Respuesta :

Otras preguntas

Which are true regarding the statement "A quadrilateral having exactly one pair of parallel opposite sides is a
trapezoid"? Check all that apply.