41:CongruentFigures
CongruentFigures
CongruentPolygons
Havecongruentcorrespondingparts
Mustlistcorrespondingverticesinthesame
orderwhennaming.
CongruenceStatement
ABCD EFGH
B
A
D
AB EF
F
E
C
G
H
BC FG
CD GH
AD EH
A E
C G
B F
D H
CompleteGotIt?#1p.219
1
42:TriangleCongruencebySSS
andSAS
43:TriangleCongruencebyASA
andAAS
44:UsingCorrespondingPartsof
CongruentTriangles
SideSideSide(SSS)
If,intwotriangles:
threesidesofone arecongruenttothreesides
oftheother,thenthetrianglesarecongruent.
E
B
F
C
A
D
1
Side
8.3 Areas of Irregular Regions
To find the area of an irregular figure (ex: a lake)
1. Count the number of squares on the interior that are completely covered
a.
I = inside squares
2. Count the number of partially covered boundary squares
a.
B = boundary
4-7:Overlapping Triangles
A
B
C
F
D
E
Howmanytrianglesdoyouseeinthefigure
above?
4
Namethetrianglesinthefigureabove?
ADC , BFD, ABE & CFE
1
OverlappingFigures
Figuresthathavesomepartoftheirinteriorincommon.
A
B
C
F
D
E
A
B
Given: AC AB, AD AE
F
Prove: D
8.1 Perimeter Formulas Notes
Perimeter sum of the lengths of the sides of a polygon [sum = addition]
Lets look at specific figures we have already used in the past.
Rectangle
Perimeter has to do with side length
o What do we know about sides of a rectang
8.2 Fundamental Properties of Area
Area Postulate
(a) Uniqueness Property every polygonal region has a unique (one) area
(b) Rectangle Formula the area of a rectangle with dimensions l and w is A=lw
(c) Congruence Property all congruent figures have the s
Geometry
Chapter 6.4
Medians and Altitudes
A median of a triangle is a segment that runs from one vertex of the triangle to the midpoint of the opposite side. The
point of concurrency of the medians is called the centroid.
The medians of ABC are , and .
T
4-5:Isosceles and
Equilateral Triangles
PropertiesofIsoscelesTriangles
Vertex
Leg
Vertex:
themeetingofthe
twoequallegs
Leg
Base:
oppositevertex
angle
Base
Angle
Base
Base
Angle
BaseAngles:
oppositetheequal
legs
1
Theorem43:IsoscelesTriangleTheorem
Iftwosi