For each of the following quadrilaterals, select all the properties that must be true.
Question
For each of the following quadrilaterals, select all the properties that must be true.
Solution
To properly address the question about quadrilaterals, specific properties can vary based on the type of quadrilateral. Without knowing the exact types of quadrilaterals you're referencing, I can provide general properties related to common types of quadrilaterals. Here are the key properties for various types of quadrilaterals:
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General Quadrilateral
- The sum of the interior angles is .
- Opposite sides do not have to be equal.
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Parallelogram
- Opposite sides are equal in length.
- Opposite angles are equal.
- The diagonals bisect each other.
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Rectangle
- All angles are .
- Opposite sides are equal and parallel.
- Diagonals are equal in length.
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Rhombus
- All sides are equal in length.
- Opposite angles are equal.
- Diagonals bisect each other at right angles.
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Square
- All sides are equal in length.
- All angles are .
- The diagonals are equal in length and bisect each other at right angles.
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Trapezoid (Trapezium)
- At least one pair of opposite sides is parallel.
- The sum of the interior angles is .
If you have specific quadrilaterals in mind, let me know, and I can provide a more tailored response!
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