1. LESSON 8.3: Similar Polygons
OBJECTIVES:
To use AA, SAS, and SSS Similarity Statements
To apply AA, SAS, and SSS Similarity
Statements

2. Vocabulary and Key Concepts
Angle-Angle Similarity Postulate
(AA ) Postulate _____________ _______________________________________________________________
If two angles of one
triangle are congruent to two angles of
another triangle then the two triangles
are similar.

3. Using AA Similarity Postulate
AMX BKX

4. ___________________________.
Theorem 8-1: Side-Angle-Side Similarity (SAS ) Theorem
___________________________ ____________________________________________________________________________________________________________
___________________________.
If two sides of one triangle are proportional to two sides of another triangle, and the included angle in one triangle is congruent to the included angle in the other triangle, then the
two triangles are similar.

5. Theorem 8-2: Side-Side-Side Similarity (SSS ) Theorem______
___________________________ ___________________________ ___________________________.
If the corresponding sides of two triangles are proportional, then the two triangles are similar.

6. USING SIMILARITY THEOREMS
Is ?
Explain.

7. Indirect Measurement with Similar Triangles
the
measurement of very large objects or of long distances (which are often made indirectly), using similar triangles and proportions
Indirect measurement is _______ __________________________ __________________________ __________________________ __________________________.

8. Indirect Measurement with Similar Triangles
Alex Giulano’s eye is 168 cm above the ground while he is standing 114 cm from the mirror. If the mirror is 570 cm from the flagpole, how tall is the flagpole?
I ♥ Geometry!

9. FINAL CHECKS FOR UNDERSTANDING
1. You want to prove that
by the SSS Theorem. Complete the
proportion that is needed to use this
theorem.
FH = a = FG
b = XS = c

10. FINAL CHECKS FOR UNDERSTANDING
Name a postulate or theorem that can be used to prove that the two triangles are similar. Then, write a similarity statement.
A J 30
K L 60
B C

11. Homework