This document discusses two theorems for proving triangle similarity: the SSS Similarity Theorem and the SAS Similarity Theorem. The SSS Similarity Theorem states that if three corresponding sides of two triangles are proportional, then the triangles are similar. The SAS Similarity Theorem states that if one angle of one triangle is congruent to one angle of another triangle and the two included sides are proportional, then the triangles are similar. The document provides examples and explanations of how to use these theorems to prove triangle similarity.

1. 6.5 SSS & SAS Similarity Theorems
November 18, 2013
Bellwork
Determine if 2 triangles are similar. If they are, write a similarity
statement.
2.
no
Yes; ABE ~ ACD
Find the length of BC
4. A tree casts a shadow that is 30 feet
long. At the same time a person standing
nearby,who is five feet two inches tall,
casts a shadow that is 50 inches long. How
tall is the tree to the nearest foot?
37 ft
7.5
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HW pg.391 #4­22 even, 37
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2. 6.5 SSS & SAS Similarity Theorems
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6.5 Prove Triangles Similar by SSS & SAS
SSS Similarity Theorem:the corr. sides of 2
If
R
A
B
C
S
T
s are proportional, then the
s are ~.
If AB = BC = CA, then ABC ~ RST
RS ST TR
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HW pg.391 #4­22 even, 37
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3. 6.5 SSS & SAS Similarity Theorems
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Nov 29­3:33 PM
HW pg.391 #4­22 even, 37
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4. 6.5 SSS & SAS Similarity Theorems
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SAS Similarity Theorem:an < ≅ to another < in 2nd
If
is
M
are proportional, then are ~.
the
If <X≅<M & ZX= XY then XYZ ~ MNP
,
and the included sides
X
PM MN
Z
Y
P
N
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HW pg.391 #4­22 even, 37
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5. 6.5 SSS & SAS Similarity Theorems
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Nov 29­3:46 PM
HW pg.391 #4­22 even, 37
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6. 6.5 SSS & SAS Similarity Theorems
g.
p
HW391
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#4­22 evens & 37
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HW pg.391 #4­22 even, 37
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7. 6.5 SSS & SAS Similarity Theorems
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HW pg.391 #4­22 even, 37
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