Transcript Objective - To name different types of polygons and

8.5 Classifying Polygons
Understanding Polygons and Regular Polygons
Polygon - A closed figure with at least 3 sides.
Regular Polygon - Polygon with ALL sides congruent
and ALL angles congruent.
Regular Polygons
Polygons
Drawing
Drawing
# of sides
Name
3
Triangle
Name
Acute
Equilateral
4
Quadrilateral
Square
5
6
Pentagon
Regular
Pentagon
Hexagon
Regular
Hexagon
Classifying Triangles
Angle
Name
Side
Name
Acute - All angles Right - Only One Obtuse - Only One
less than 90 .
angle equal to 90 . angle more than 90 .
Equilateral - All Isosceles - Two
three sides equal. sides equal.
Scalene - No
equal sides.
Angles of a Triangle
Every triangle has angles whose sum equals 180 .
b
ma  mb  mc  180
c
a
Solve for x.
85
x
60
mx  85  65  180
x  150  180
150  150
x  30
Classifying Quadrilaterals
Quadrilateral
A closed figure with four sides that
are line segments
Parallelogram
A quadrilateral with two sets of
parallel sides
Rectangle
A quadrilateral with two sets of
parallel sides and four right angles
Square
A quadrilateral with two sets of
parallel sides, four right angles, and
all sides congruent
A quadrilateral with two sets of
parallel sides and all sides congruent
Rhombus
Trapezoid
A quadrilateral with only one set of
parallel sides
Isosceles
Trapezoid
A quadrilateral with only one set of
parallel sides and a pair of
nonparallel sides congruent
A quadrilateral with no parallel sides,
but with two pairs of sides congruent
Kite
Understanding Quadrilaterals
A quadrilateral…
With TWO pairs
of parallel lines
With ONE pair
of parallel lines
With ZERO pairs
of parallel lines
…and two pairs
of congruent sides
…and a pair of
non-parallel sides
congruent
…and four right
angles
…and all sides
congruent
…and all sides
congruent
Homework
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