SOLUTION: how do you classify a shape as a sqaure,rectangle, rhombus,or parllelogram?

Question 273408: how do you classify a shape as a sqaure,rectangle, rhombus,or parllelogram?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

A parallelogram is a quadrilateral (four-sided) polygon with two pairs of parallel sides.

A rhombus is a parallelogram with all 4 sides of equal measure.

A rectangle is a parallelogram with four vertices that are right angles. It is sufficient to prove that one vertex has a right angle because if it does, the other three have to be right angles as well. (In any parallelogram opposite angles are equal and adjacent angles are supplementary -- so if one angle is 90, the opposite is 90 and both adjacent angles are also 90 because 180 - 90 is 90.)

A square is either a rectangle with all 4 sides of equal measure, or a rhombus with 4 vertices that are right angles. Again, proof of one right angle is sufficient.

John

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