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*Quadrilateral
scrapbook geometery*
!Jay-hoosey delpozo!
9th
2-23-11
!Table of contents!
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• Irregular
quadrilateral
• Parallelogram
• Rhombus
• Square
• Rectangle
• TRAPEZOID
Irregular quadrilateral
•
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Def-A regular quadrilateral
is one with equal sides and
equal angles, so it is a
square.
Example1-quadrilateral
is a polygon with
four sides
• Example2-the term
quadrangle is used,
by analogy with
triangle
• Example3-Simple
quadrilaterals are
either convex or
concave.
Parallelogram
.
Def-parallelogram is a
quadrilateral with two
pairs of parallel sides.
Example1-parallelogram
with four angles of equal
.
size.
Example2-parallelogram
with four sides of
equal length
Example3-Adjacent
angles are supplementary
(add up to 180 degrees)
Rhombus
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Def-a rhombus or rhomb is
a quadrilateral whose four
sides all have the same
length.
Example1-The rhombus is
often called a diamond.
Example2-Every rhombus is
a parallelogram.
•
Example3-Every rhombus
has two diagonals
connecting opposite pairs
of vertices and two pairs of
parallel sides.
Squares!
• Def-This means that it
has four equal sides and
four equal angles (90
degree angles, or right
angles)
• Example1-A square is
both a rhombus (equal
sides) and a rectangle
• Example2-a square is a
regular quadrilateral
• Example3-The diagonals
of a square are equal
Rectangle
• Def-In Euclidean plane
geometry, a rectangle is
any quadrilateral with
four right angles
• Example1-angles are not
right angles.
• Example2-rectangles
with opposite sides
equal in length and equal
angles that are not right
angles
• Example3- Rectangles
are involved in many
tiling problems, such as
tiling the plane by
rectangles or tiling a
rectangle by polygons.
Trapezoid
• Def-four-sided figure
with one pair of parallel
sides is referred to as a
trapezoid
• Example1- The term
trapezium has been in
use in English since
1570,
• Example2-There is also
some disagreement on
the allowed number of
parallel sides in a
trapezoid
• Example3-Some authors
define a trapezoid as a
quadrilateral having
exactly one pair of
parallel sides,