170 likes | 294 Views
CP Geo: Chapter 3. 3.2 Prop of Special Quads Obj : ________________________ ____________________________. Special Quad. 4 sided figure with special properties. Trapezoid. A quad with 1 and only 1 pair of // sides. Parallelogram. A quad with 2 pairs of parallel sides. Rhombus.
E N D
CP Geo: Chapter 3 3.2 Prop of Special Quads Obj: ________________________ ____________________________
Special Quad • 4 sided figure with special properties
Trapezoid • A quad with 1 and only 1 pair of // sides
Parallelogram • A quad with 2 pairs of parallel sides
Rhombus • A quad with 4 congruent sides
Rectangle • A quad with 4 rt angles
Square • A quad with 4 congruent sides and 4 rt angles
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
Special Prop of Quads • Parallelogram • Opp sides are // • Opp sides are congruent • Opp angles are congruent • Diagonals bisect each other • Consecutive angles are supp
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
Rectangle: • A rectangle is also a __________________, so it has all of its properties plus • All angles are rt <‘s • Diagonals are congruent
Square • A square is also a __________________, a ______________, and a ________________,
Example Given parallelogram ABCD • Find • AB • AE • <ABC • <BCD A B E 50 D C 1 in 3 in.
Example • Given Rhombus FGHI F G H I • Find • FG • M<GHI • M<FGH • M<FJG 30 12