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Mrs N.D. Y.
Mrs N.D. Y. Asked:

Read the argument below. Then answer the questions ...

Read the argument below. Then answer the questions.If a shape is a parallelogram, then the shape has four sides.

If a shape has four sides, then it is a quadrilateral.

 

Therefore, if a shape is a parallelogram, then it is a quadrilateral.

 

A.  Is this a valid argument?

 

B.  Explain why or why not.

 

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Ol' Yeddar
Ol' Yeddar Answered:

a = b

c =b

b = b

Keep close to Nature's heart... climb a mountain or spend a week in the woods. Wash your spirit clean.* Victims of circumstance owe it to fate. Victims of choice owe it to themselves.*One of the widest gaps in human experience is the gap between what we say we want to be and our willingness to discipline ourselves to get there.
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Wolf Lorber
Wolf Lorber Answered:

Quadrilateral is a geometrical term for any 4-sided figure; a parallelogram is thus a particular type of the former.  A polygon is any figure having 3 or more sides whether or not equal, therefore including triangles and quadrilateral figures.  Some terms are merely broader than others, e.g., geometry is a particular branch of mathematics.  As in common language,  broader terms are only occassionally necessary; we say vehicles when we mean to include more than just cars.  I responded because I appreciate your interest.

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