Download 5-4-four-sided-polygons-ppt

Advanced Geometry
* are PLANE figures.
* consist entirely of segments (no curves!).
* are closed figures.
* consecutive sides intersect only at endpoints
* nonconsecutive sides do not intersect
* each vertex belongs to exactly two sides.
* are PLANE figures.
3 – D!
NOT a polygon!
* consist entirely of segments -- no curves!
NOT a polygon!
* are closed figures.
NOT a polygon!
* consecutive sides intersect only at endpoints
* nonconsecutive sides do not intersect
X
NOT a polygon!
* each vertex belongs to exactly two sides.
3
P
2
1
NOT a polygon!
Definition: In a convex polygon, each interior
angle has a measure less than 180⁰.
Concave!
Interior angle greater than 180!
NOT convex!
For this class,
unless stated
otherwise,
you should
assume that
all polygons
you work with
are convex!
Definition: A diagonal of a polygon is any
segment that connects two nonconsecutive
(nonadjacent) vertices of the polygon.
Quadrilateral: A four-sided POLYGON
QUADRILATERAL
Parallelogram: A QUADRILATERAL with both
pairs of opposite sides congruent and parallel
PARALLELOGRAM
Rectangle: A PARALLELOGRAM in which at
least one angle is a right angle
RECTANGLE
Rhombus: A PARALLELOGRAM in which at
least two consecutive sides are congruent.
RHOMBUS
Kite: A QUADRILATERAL in which two disjoint
pairs of sides are congruent.
KITE
Square: A PARALLELOGRAM that is both a
rectangle
rhombus
rectangle and a rhombus.
SQUARE
Trapezoid: A QUADRILATERAL with exactly
onepair
pairofofparallel
parallelsides.
sides.
one
TRAPEZOID
ISOSCELES Trapezoid: A TRAPEZOID in which
arecongruent.
congruent
the nonparallel sides
sides (called legs) are
A
Leg 
B
 Leg
ISOSCELES
TRAPEZOID
C
D
The parallel sides are the BASES: AB and CD
Upper Base Angles: ∡A and ∡B
Lower Base Angles: ∡C and ∡D