Hierarchy of Quadrilaterals

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Hierarchy of quadrilaterals

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Quadrilaterals are classified based on their properties, forming a hierarchy.

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CCSS.5.G.B.4

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Attributes of quadrilateral categories

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Attributes of a quadrilateral category also belong to all its subcategories.

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CCSS.5.G.B.4

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Definition of a quadrilateral

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A quadrilateral is a polygon with four edges (or sides) and four vertices or corners.

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CCSS.2.G.A.1

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Types of quadrilaterals

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Common types include squares, rectangles, trapezoids, and rhombuses, each with unique properties.

Tags

CCSS.2.G.A.1

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Properties of a parallelogram

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In a parallelogram, opposite sides are equal in length and opposite angles are equal in measure.

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CCSS.HSG.CO.C.11

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Definition of a trapezoid

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A trapezoid is a quadrilateral with at least one pair of parallel sides.

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Properties of a rectangle

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A rectangle is a quadrilateral with four right angles and opposite sides that are equal in length.

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CCSS.3.G.A.1

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Characteristics of a rhombus

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A rhombus is a quadrilateral with all sides having equal length and opposite angles being equal.

Tags

CCSS.3.G.A.1

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Properties of a square

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A square is a quadrilateral with four equal sides and four right angles.

Tags

CCSS.3.G.A.1

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Characteristics of a kite

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A kite is a quadrilateral with two distinct pairs of adjacent sides that are equal in length.