# How can a quadrilateral be classified?

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There are specific set of rules for polygons to be classified as a quadrilateral. They must have:

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A quadrilateral can be classified based on various properties such as the lengths of its sides, the measures of its angles, and the relationships between its sides and angles. Common classifications of quadrilaterals include:

- Parallelogram: Opposite sides are parallel and equal in length.
- Rectangle: A parallelogram with all angles equal to 90 degrees.
- Rhombus: A parallelogram with all sides equal in length.
- Square: A rectangle with all sides equal in length.
- Trapezoid: At least one pair of opposite sides is parallel.
- Kite: Two pairs of adjacent sides are equal in length.
- Isosceles Trapezoid: A trapezoid where the non-parallel sides are equal in length.
- Scalene Trapezoid: A trapezoid where no sides are equal in length.

These classifications are based on specific criteria and properties exhibited by the quadrilateral in question.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- A parallelogram has sides A, B, C, and D. Sides A and B have a length of #3 # and sides C and D have a length of # 4 #. If the angle between sides A and C is #(7 pi)/18 #, what is the area of the parallelogram?
- A parallelogram has sides with lengths of #16 # and #9 #. If the parallelogram's area is #18 #, what is the length of its longest diagonal?
- Two rhombuses have sides with lengths of #8 #. If one rhombus has a corner with an angle of #(7pi)/12 # and the other has a corner with an angle of #(pi)/6 #, what is the difference between the areas of the rhombuses?
- Two opposite sides of a parallelogram each have a length of #18 #. If one corner of the parallelogram has an angle of #(5 pi)/12 # and the parallelogram's area is #120 #, how long are the other two sides?
- If a quadrilateral is both a rectangle and a rhombus, then is it a square?

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