LESSON 8.3: Similar Polygons

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# LESSON 8.3: Similar Polygons - PowerPoint PPT Presentation

LESSON 8.3: Similar Polygons. OBJECTIVES: To use AA, SAS, and SSS Similarity Statements To apply AA, SAS, and SSS Similarity Statements. Vocabulary and Key Concepts. Angle-Angle Similarity Postulate

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## LESSON 8.3: Similar Polygons

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### LESSON 8.3: Similar Polygons

OBJECTIVES:

To use AA, SAS, and SSS Similarity Statements

To apply AA, SAS, and SSS Similarity

Statements

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.

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.

If the corresponding sides of two triangles are proportional, then the two triangles are similar.

Theorem 8-2: Side-Side-Side Similarity (SSS ) Theorem______

_________________________________________________________________________________.

Indirect Measurement with Similar Triangles

Indirect measurement is _______________________________________________________________________________________________________________.

the

measurement of very large objects or of long distances (which are often made indirectly), using similar triangles and proportions

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!

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

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 60

30

30

K L

60

B C