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Understanding Properties of Special Quadrilaterals in Geometry

This chapter explores the unique properties of special quadrilaterals, including trapezoids, parallelograms, rhombuses, rectangles, and squares. Each shape is defined by specific characteristics, such as the number of pairs of parallel sides or angles. Important terms like diagonal, bisector, and perpendicular are also explained. Additionally, the chapter covers how these shapes are related and what additional properties they possess. Examples are provided to illustrate how to find various measurements and angles within these geometric figures.

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Understanding Properties of Special Quadrilaterals in Geometry

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  1. CP Geo: Chapter 3 3.2 Prop of Special Quads Obj: ________________________ ____________________________

  2. Special Quad • 4 sided figure with special properties

  3. Trapezoid • A quad with 1 and only 1 pair of // sides

  4. Parallelogram • A quad with 2 pairs of parallel sides

  5. Rhombus • A quad with 4 congruent sides

  6. Rectangle • A quad with 4 rt angles

  7. Square • A quad with 4 congruent sides and 4 rt angles

  8. Terms to Know • Diagonal: segment that joins 2 nonconsecutive vertices • Bisector: runs through the midpt of a segment • Perpendicular: intersects at a 90 degree angle

  9. Special Prop of Quads • Parallelogram • Opp sides are // • Opp sides are congruent • Opp angles are congruent • Diagonals bisect each other • Consecutive angles are supp

  10. Rhombus • A rhombus is also a __________________ So it has all of its prop. plus • All sides are congruent • Diagonals are perp • Diagonals bisect 2 <‘s

  11. Rectangle: • A rectangle is also a __________________, so it has all of its properties plus • All angles are rt <‘s • Diagonals are congruent

  12. Square • A square is also a __________________, a ______________, and a ________________,

  13. Example Given parallelogram ABCD • Find • AB • AE • <ABC • <BCD A B E 50 D C 1 in 3 in.

  14. Example • Given Rhombus FGHI F G H I • Find • FG • M<GHI • M<FGH • M<FJG 30 12

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