Download Regular polygon

Regular polygon
Pythagorean Theorem
Similar
Parallel Lines and their Angles
Isosceles Triangle
Vertex
Properties of a Parallelogram
Definition of a Circle
Properties of a Rhombus
Supplementary
Special Right Triangles
Sum of interior angles of regular
polygons
Two figures are similar if they have the
same shape but not necessarily the same
size.
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
The intersection of two sides of a
polygon
The set of all points in a plan equidistant
from a given point.
45º
x 2
60º
2x
x
x
45º
A polygon that is both equilateral and
equiangular
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
Convex
Vertical Angles
Cross Products
Volume
Scale factor of similar polygons, of
areas, of volumes
SAS
ASA
AAS HL
Similar Polygons & Angles
Diagonals
Equidistant
Included Angle
Properties of a kite
A polygon in which no diagonal
contains points in the exterior of
the polygon
In the statement
a c
 , bc and ad
b
d
Angles sum to 90 degrees
Opposite Angles of non-adjacent
side are congruent
are the cross products
Ao = Area Original, As=Area Scaled
As  k 2  Ao
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
The same distance from
two or more objects
A quadrilateral with exactly two pairs
of congruent consecutive sides
A segment connecting two
nonconsecutive vertices of a polygon
The angle formed by two adjacent
sides of a polygon
Kite
Indirect measurement
Median
Proportion
Ratio
Right Angle
Hypotenuse
Surface Area
Converse Statement
Mid-segment Theorem
The ratio of any length in the drawing
to the corresponding actual length
-
A statement that two ratios are equal;
a c

b d
Exactly two pairs of congruent consecutive
sides
Perpendicular diagonals
A pair of angles bisected by diagonals
A segment whose endpoints are a
vertex of the triangle and the
midpoint of the opposite side
An angle measuring 90°
A comparison of two quantities by
division
The total area of all faces and curved
surfaces of a three-dimensional figure
The longest side of a right triangle,
opposite the 90° angle
The statement formed by exchanging
the hypothesis and conclusion of a
conditional statement
AB 
1
( MN  LP)
2