- Submitted By: kaylac
- Date Submitted: 04/27/2011 8:24 PM
- Category: Miscellaneous
- Words: 341
- Page: 2
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Compare and Contrast: Rhombus, Rectangle, and Square

In this essay I will be explaining the differences between a rhombus, rectangle, and a square. Next, I will be explaining each quadrilateral and also using the definitions that go along with each quadrilateral. Then, I will be describing how the three quadrilaterals have the same and different characteristics.

In a rhombus, opposite sides congruent, opposite angles congruent, consecutive angles supplementary and the diagonals bisect each other. In a rectangle, all angles are congruent and the diagonals are congruent. In a square, all angles are right angles the sum of the interior angles of a square will always be 360 degrees. A square is a rectangle, while a rectangle is not a square. A square is under the category of quadrilaterals along with the rectangle, trapezoid, kite, and rhombus.

First of all, a rhombus is a parallelogram with four congruent sides. . In the rhombus corollary it says that a quadrilateral is a rhombus if and only if it has four congruent sides. Next, a rectangle is a parallelogram with four congruent angles. In the rectangle corollary it says that a rectangle is a rhombus if and only if it has four congruent sides. Lastly, a square is a parallelogram with four congruent sides and angles. In the square corollary it says that a quadrilateral is a square if and only if it has four congruent sides and angles.

These three quadrilaterals have some of the same characteristics. For example, they all are parallelograms and a parallelogram has four sides with opposite sides being parallel. Another example, the diagonals bisect each other. These three quadrilaterals have some different characteristics. For instance, in a square all angles are congruent and all sides, in a rhombus all sides are congruent.

In conclusion, I described to you the differences between a rhombus, rectangle, and a square. I also explained each quadrilateral by using the definitions. Then, I described how the three...

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