CHAPTER 6
OBJECTIVES
Angle­Angle (AA) Similarity Postulate
If two angles of one triangle
are congruent to two angles
of another triangle, then
the two triangles are A
similar.
B
C
E
F
D
ΔABC ΔDEF
Side­Side­Side (SSS) Similarity Theorem
If the corresponding side lengths of two triangles are
proportional, then the two triangles are similar.
B
C
A
AB BC CA
=
=
DE EF FD
ΔABC ΔDEF
8
12
16
E
9
D
6
F
12
4 4 4
= =
3 3 3
C
A
1)
Determine whether the triangles are similar. If so, write a similarity statement and reason.
2)
J
M
P
3)
R
T
S
X
L
K
W
Q
4) P
6
8
R
5
20
12.5
T
5)
Q
15
S
6)
7)
8) Nina was curious about the height of the Eiffel Tower. She used a 1.2
meter model of the tower and measured its shadow at 2 pm. The
length of the shadow was 0.9 meter. Then she measured the Eiffel Tower's shadow, and it was 240 meters. What is the height of the
Eiffel Tower?
9) Hallie is estimating the height of the Superman roller coaster in
Mitchellville, Maryland. She is 5 feet 3 inches tall and her shadow is 3 feet long. If the length of the shadow of the roller coaster is 40 feet, how tall is the roller coaster?
HW ON LESSON 6­3
p302­p306 10­21 all, 26­31 all