Quadrilaterals and Their Properties

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What is a quadrilateral?
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A quadrilateral is a polygon with four edges (sides) and four vertices (corners).
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Name the four types of quadrilaterals.
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The four types of quadrilaterals are squares, rectangles, parallelograms, and trapezoids.
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How does a square differ from a rectangle?
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Both have four right angles, but a square has all four sides equal, whereas a rectangle has opposite sides equal.
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What makes a parallelogram unique among quadrilaterals?
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In a parallelogram, opposite sides are parallel and equal in length.
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What property do all trapezoids share?
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All trapezoids have at least one pair of parallel sides.
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How is a rhombus different from a square?
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A rhombus has all sides equal like a square, but its angles are not necessarily 90 degrees.
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If a quadrilateral has one right angle, what type could it be?
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It could be a rectangle or a right trapezoid, depending on other angles and sides.
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What is the sum of the interior angles of any quadrilateral?
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The sum of the interior angles of any quadrilateral is 360 degrees.
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What defines a kite in terms of sides?
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A kite has two pairs of adjacent sides that are equal.
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Can a quadrilateral be classified as both a rectangle and a rhombus? If yes, what is it called?
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Yes, it is called a square.
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What is the main difference between a rectangle and a parallelogram?
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A rectangle has all angles equal to 90 degrees, whereas a parallelogram only has opposite angles equal.
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What are the properties of the diagonals of a rectangle?
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The diagonals of a rectangle are equal in length and bisect each other.
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Which quadrilateral is also known as an equilateral quadrilateral?
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A rhombus is also known as an equilateral quadrilateral because all its sides are equal.
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What makes a trapezium different from other quadrilaterals?
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A trapezium (or trapezoid) has only one pair of parallel sides.
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In a parallelogram, what can be said about opposite angles?
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Opposite angles in a parallelogram are equal.
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