Download Regular polygon

Regular polygon
Pythagorean Theorem
Sine, Cosine, Tangent
Parallel Lines and their Angles
Isosceles Triangle
Tangent Line
Properties of a Parallelogram
Definition of a Circle
Properties of a Rhombus
Supplementary
Special Right Triangles
Sum of interior angles of regular
polygons
SOH CAH TOA
A polygon that is both equilateral and
equiangular
Sine = opposite/hypotenuse
Cos = adjacent/hypotenuse
Tan = opposite/adjacent
Parallel Lines and their Angles
1 2
3 4
7
5 6
8
Corresponding
Angles:
<1= < 5; < 3 = < 7
< 2 = < 6; < 4 = < 8
Alternate Interior
Angles:
< 3 = < 6; < 4 = < 5
Alternate Exterior
Angles:
< 1 = < 8; < 2 = < 7
A line that intersects a circle in exactly
one point.
The set of all points in a plan equidistant
from a given point.
45º
x 2
60º
2x
x
x
45º
a2+b2=c2
c = Hypotenuse
For Right Triangles only
A Triangle with two congruent sides and
congruent base angles
- Opposite Sides Congruent
- Opposite Angles Congruent
- Diagonals bisect each other
-
All 4 sides congruent
Opposite Angles Congruent
x not Congruent
Diagonals Perpendicular but
30º
x
x 3
(n – 2) * 180
Angles sum to 180 degrees
SSS
Complementary
Arc Length
Vertical Angles
Area of a Sector
Volume
Scale factor of similar polygons, of
areas, of volumes
SAS
ASA
AAS HL
Similar Polygons & Angles
Inscribed Angle
Central Angle
Area of a Segment
Properties of a kite
The distance along a portion of the
circumference in linear units
Angles sum to 90 degrees
L(
m
)( 2r )
360
A section of a circle in square units
A(
m
)(r 2 )
360
Ao = Area Original, As=Area Scaled
As  k 2  Ao
Opposite Angles of non-adjacent
side are congruent
The amount of space inside a 3-D
object with cubic units
Vs  k 3  Vo
V = (Area of Base)(Height)
Vo=Volume Original, Vs=Volume Scaled
SSS
SAS
ASA
AAS
HL
Facts:
ABC ~ DEF
AB BC AC


DE EF DF
 A  D
 B  E
 C  F
Central Angle = Arc Measure
Inscribed Angle = ½ Central Angle
Central Angle = 2*Inscribed Angle
A quadrilateral with exactly two pairs
of congruent consecutive sides
Area of Segment = Area of Sector – Area of Triangle
(
m
bh
)(  r 2 )  (
)
360
2
Proportion
Indirect measurement
Geometric Mean
Trigonometric Ratio
Angle of Elevation
Angle of Depression
Apothem
Surface Area
Central Angle
Converse Statement
Mid-segment Theorem
Tangent Lines
The ratio of any length in the drawing
to the corresponding actual length
Sine, Cosine and Tangent are
examples of this
An equation stating that two ratios
are equal
The positive square root of the
product of two positive numbers
x  a b
The angle formed by a horizontal line The angle formed by a horizontal line
and a line of sight to a point below the and a line of sight to a point above the
line
line
The distance from the center to a side
of a regular polygon
The distance from the center to a side
of a regular polygon
1
Area  n  (  a  s)
2
n = # of sides
The statement formed by exchanging
the hypothesis and conclusion of a
conditional statement
A segment(s) that intersect the circle
only once
a = apothem
s = side length
An angle whose vertex is the center of
a circle
AB 
1
( MN  LP )
2