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.
a = b
b = b
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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