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Comprehensive Guide to Quadrilaterals: Properties and Theorems

This study guide covers essential properties and theorems related to quadrilaterals, including parallelograms, rectangles, rhombuses, squares, trapezoids, and isosceles trapezoids. Learn the unique characteristics of each quadrilateral type: parallelograms have opposite sides that are congruent and parallel, rectangles feature four right angles, rhombuses have four congruent sides, and squares combine properties of both rectangles and rhombuses. Additionally, explore the specifics of trapezoids and kites, including their diagonals and angle properties.

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Comprehensive Guide to Quadrilaterals: Properties and Theorems

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  1. QUADRILATERALS!!! Parallelogram • Opp. Sides cong. • Opp. Sides parallel • Opp. Angles cong. • Diags. Bisect • 1 pair parallel and cong. • Rhombus • 4 cong. Sides • Diags bisect 2 angles • Diags are perp. Rectangle • 4 Right angles • Diags are congruent • Square • EVERYTHING from Rhombus and Rectangle!!

  2. Trapezoid • 1 pair of sides are parallel KITE • Diags. are perp. • 2 consec. sides are cong. • Longer diagonal bisects the angles and the shorter diagonal • Isc. Trapezoid • Legs are cong. • Base angles are cong. • Diagonals are cong.

  3. Study Guide Parallelogram Rectangle Rhombus Square Trapezoid Isosceles Trapezoid

  4. Theorems A B C E D

  5. Theorems Rectangle Rhombus Isosceles trapezoid

  6. Theorems A B C D F E

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