Download Section 6.3 and 6.4 AA, SSS, SAS Similarity

Geometry
Sections 6.3 & 6.4
Proving triangles are similar using AA, SSS, SAS
Objective: SWBAT use the AA, SSS, SAS similarity postulates.
Angle- Angle (AA) Similarity Postulate
If two angles of one triangle are congruent to
two angles of another triangle, then the two
triangles are similar.
A
B
D
C
E
ABC ~ DEF
because
A
D and
B
E
F
Side-Side-Side (SSS) Similarity
If the corresponding side lengths of two
triangles are proportional, then the triangles
are similar.
A
D
6
4
8
B
ABC ~
because
5
12
C
E
10
F
DEF
Side-Angle-Side (SAS) Similarity
If an angle of one triangle is congruent to an
angle of a second triangle and the lengths of the
sides including these angles are proportional,
then the triangles are similar.
A
D
10
ABC ~
because
15
B
12
C
E
18
F
DEF
B
E,
Example 1:
Example 2:
Example 3:
Example 4: