Quadrilaterals
Overview
Important
A quadrilateral is a four-sided polygon. The sum of its interior angles is always 360 degrees. Quadrilaterals can be classified based on their side lengths, angles, and symmetry properties. Common types include parallelograms, rectangles, squares, rhombuses, trapeziums, and kites.
Important properties
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A quadrilateral has four sides and four vertices.
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The sum of the interior angles is 360 degrees.
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The sides can be of different lengths and the angles can be of different sizes.
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Special quadrilaterals have additional properties (e.g., parallelograms have opposite sides parallel).
Practice
Junior Mathematical Challenge 2022
Proving Perpendicular Diagonals in Tangential Quadrilaterals
Inscribing Circles and Symmetry in Kites
Prove Circles on Non-Parallel Sides of Trapezium Touch
Prove Lateral Sides Equal Midline in Inscribed Isosceles Trapezoid
Identifying Parallelograms with Inscribed Circles