Download Chapter 6.4 AA Similarity Recall similar polygon definition: Two

Chapter 6.4
Geometry
AA Similarity
Objective(s) Use the Angle­Angle Similarity Postulate to prove triangles are similar.
Recall similar polygon definition:
Two polygons are similar if and only if:
1. Corresponding angles are congruent, and 2. Side lengths are proportional.
Triangles have some special postulates and theorems:
AA Similarity ­ If ___ ______ of one triangle are __________ to two angles of another triangle, then the triangles are _______.
Examples
B
1. Given AB || DE, explain how the triangles are similar.
E
C
A
D
H
2. Determine if the triangles are similar. If so, write a similarity statement and an explanation.
26o
64o
C
.
E
D
G
K
Chapter 6.4
Cont'd
3. Determine if the triangles are similar. If so, write a similarity statement and an explanation.
A
Redraw
E
45o
B
45
D
o
C
S
4.
Determine if the triangles are similar. If so, write a similarity statement and an explanation.
T
V
R
U
5. A flagpole casts a shadow 50 feet long. At the same time a woman standing 5' 4" tall casts a shadow 40 inches long. About how tall is the flagpole? Use similar right triangles
.