# Kevin claims he can draw a trapezoid with three right angles. Is this possible?

##### 1 Answer

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#### Explanation

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Obviously, Kevin draw a *rectangle*.

Is a *rectangle* a particular type of *trapezoid*?

It depends on a definition of a *trapezoid*. Traditionally, yes. So, Kevin can do it.

#### Explanation:

If a *trapezoid* is **defined** as a polygon with four sides (that is, *quadrilateral*) and two sides of it are parallel to each other, than a *rectangle* can be considered as a type of *trapezoid*.

In this case all theorems proven for a *trapezoid* are true for *rectangles*.

The above definition is the one traditionally agreed upon.

By the way, in this case, a *parallelogram* is also a particular type of a *trapezoid*.

If, however, the **definition** states that two sides of a quadrilateral must be parallel and two other must not (notice, this is not a typical definition), then *rectangle* is not a particular type of *trapezoid* and Kevin could not draw a *trapezoid* with three right angles.

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